java.lang.Object
- org.apache.commons.math.linear.AbstractRealMatrix

All Implemented Interfaces:

AnyMatrix, RealMatrix

Direct Known Subclasses:

Array2DRowRealMatrix, BlockRealMatrix, OpenMapRealMatrix, RealMatrixImpl
```
public abstract class AbstractRealMatrix
extends java.lang.Object
implements RealMatrix
```
Basic implementation of RealMatrix methods regardless of the underlying storage.
All the methods implemented here use getEntry(int, int) to access matrix elements. Derived class can provide faster implementations.

Since:

2.0

Version:

$Revision: 1073158 $ $Date: 2011-02-21 22:46:52 +0100 (lun. 21 févr. 2011) $

Constructor Summary

Constructors
Modifier	Constructor	Description
`protected`	`AbstractRealMatrix()`	Creates a matrix with no data
`protected`	`AbstractRealMatrix(int rowDimension, int columnDimension)`	Create a new RealMatrix with the supplied row and column dimensions.

Method Summary

All Methods Instance Methods Abstract Methods Concrete Methods Deprecated Methods
Modifier and Type	Method	Description
`RealMatrix`	`add(RealMatrix m)`	Compute the sum of this and m.
`abstract void`	`addToEntry(int row, int column, double increment)`	Change an entry in the specified row and column.
`abstract RealMatrix`	`copy()`	Returns a (deep) copy of this.
`void`	`copySubMatrix(int[] selectedRows, int[] selectedColumns, double[][] destination)`	Copy a submatrix.
`void`	`copySubMatrix(int startRow, int endRow, int startColumn, int endColumn, double[][] destination)`	Copy a submatrix.
`abstract RealMatrix`	`createMatrix(int rowDimension, int columnDimension)`	Create a new RealMatrix of the same type as the instance with the supplied row and column dimensions.
`boolean`	`equals(java.lang.Object object)`	Returns true iff `object` is a `RealMatrix` instance with the same dimensions as this and all corresponding matrix entries are equal.
`double[]`	`getColumn(int column)`	Returns the entries in column number `col` as an array.
`abstract int`	`getColumnDimension()`	Returns the number of columns in the matrix.
`RealMatrix`	`getColumnMatrix(int column)`	Returns the entries in column number `column` as a column matrix.
`RealVector`	`getColumnVector(int column)`	Returns the entries in column number `column` as a vector.
`double[][]`	`getData()`	Returns matrix entries as a two-dimensional array.
`double`	`getDeterminant()`	Deprecated.
`abstract double`	`getEntry(int row, int column)`	Returns the entry in the specified row and column.
`double`	`getFrobeniusNorm()`	Returns the Frobenius norm of the matrix.
`double`	`getNorm()`	Returns the maximum absolute row sum norm of the matrix.
`double[]`	`getRow(int row)`	Returns the entries in row number `row` as an array.
`abstract int`	`getRowDimension()`	Returns the number of rows in the matrix.
`RealMatrix`	`getRowMatrix(int row)`	Returns the entries in row number `row` as a row matrix.
`RealVector`	`getRowVector(int row)`	Returns the entries in row number `row` as a vector.
`RealMatrix`	`getSubMatrix(int[] selectedRows, int[] selectedColumns)`	Gets a submatrix.
`RealMatrix`	`getSubMatrix(int startRow, int endRow, int startColumn, int endColumn)`	Gets a submatrix.
`double`	`getTrace()`	Returns the trace of the matrix (the sum of the elements on the main diagonal).
`int`	`hashCode()`	Computes a hashcode for the matrix.
`RealMatrix`	`inverse()`	Deprecated.
`boolean`	`isSingular()`	Deprecated.
`boolean`	`isSquare()`	Is this a square matrix?
`void`	`luDecompose()`	Deprecated. as of release 2.0, replaced by `LUDecomposition`
`RealMatrix`	`multiply(RealMatrix m)`	Returns the result of postmultiplying this by m.
`abstract void`	`multiplyEntry(int row, int column, double factor)`	Change an entry in the specified row and column.
`double[]`	`operate(double[] v)`	Returns the result of multiplying this by the vector `v`.
`RealVector`	`operate(RealVector v)`	Returns the result of multiplying this by the vector `v`.
`double[]`	`preMultiply(double[] v)`	Returns the (row) vector result of premultiplying this by the vector `v`.
`RealMatrix`	`preMultiply(RealMatrix m)`	Returns the result premultiplying this by `m`.
`RealVector`	`preMultiply(RealVector v)`	Returns the (row) vector result of premultiplying this by the vector `v`.
`RealMatrix`	`scalarAdd(double d)`	Returns the result of adding d to each entry of this.
`RealMatrix`	`scalarMultiply(double d)`	Returns the result multiplying each entry of this by d.
`void`	`setColumn(int column, double[] array)`	Sets the entries in column number `column` as a column matrix.
`void`	`setColumnMatrix(int column, RealMatrix matrix)`	Sets the entries in column number `column` as a column matrix.
`void`	`setColumnVector(int column, RealVector vector)`	Sets the entries in column number `column` as a vector.
`abstract void`	`setEntry(int row, int column, double value)`	Set the entry in the specified row and column.
`void`	`setRow(int row, double[] array)`	Sets the entries in row number `row` as a row matrix.
`void`	`setRowMatrix(int row, RealMatrix matrix)`	Sets the entries in row number `row` as a row matrix.
`void`	`setRowVector(int row, RealVector vector)`	Sets the entries in row number `row` as a vector.
`void`	`setSubMatrix(double[][] subMatrix, int row, int column)`	Replace the submatrix starting at `row, column` using data in the input `subMatrix` array.
`double[]`	`solve(double[] b)`	Deprecated.
`RealMatrix`	`solve(RealMatrix b)`	Deprecated.
`RealMatrix`	`subtract(RealMatrix m)`	Compute this minus m.
`java.lang.String`	`toString()`	Get a string representation for this matrix.
`RealMatrix`	`transpose()`	Returns the transpose of this matrix.
`double`	`walkInColumnOrder(RealMatrixChangingVisitor visitor)`	Visit (and possibly change) all matrix entries in column order.
`double`	`walkInColumnOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (and possibly change) some matrix entries in column order.
`double`	`walkInColumnOrder(RealMatrixPreservingVisitor visitor)`	Visit (but don't change) all matrix entries in column order.
`double`	`walkInColumnOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (but don't change) some matrix entries in column order.
`double`	`walkInOptimizedOrder(RealMatrixChangingVisitor visitor)`	Visit (and possibly change) all matrix entries using the fastest possible order.
`double`	`walkInOptimizedOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (and possibly change) some matrix entries using the fastest possible order.
`double`	`walkInOptimizedOrder(RealMatrixPreservingVisitor visitor)`	Visit (but don't change) all matrix entries using the fastest possible order.
`double`	`walkInOptimizedOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (but don't change) some matrix entries using the fastest possible order.
`double`	`walkInRowOrder(RealMatrixChangingVisitor visitor)`	Visit (and possibly change) all matrix entries in row order.
`double`	`walkInRowOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (and possibly change) some matrix entries in row order.
`double`	`walkInRowOrder(RealMatrixPreservingVisitor visitor)`	Visit (but don't change) all matrix entries in row order.
`double`	`walkInRowOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (but don't change) some matrix entries in row order.

Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait

- Constructor Detail
  - AbstractRealMatrix
```
protected AbstractRealMatrix()
```
    Creates a matrix with no data
  - AbstractRealMatrix
```
protected AbstractRealMatrix(int rowDimension,
                             int columnDimension)
                      throws java.lang.IllegalArgumentException
```
    Create a new RealMatrix with the supplied row and column dimensions.
    
    Parameters:
    
    rowDimension - the number of rows in the new matrix
    
    columnDimension - the number of columns in the new matrix
    
    Throws:
    
    java.lang.IllegalArgumentException - if row or column dimension is not positive
- Method Detail
  - createMatrix
```
public abstract RealMatrix createMatrix(int rowDimension,
                                        int columnDimension)
                                 throws java.lang.IllegalArgumentException
```
    Create a new RealMatrix of the same type as the instance with the supplied row and column dimensions.
    
    Specified by:
    
    createMatrix in interface RealMatrix
    
    Parameters:
    
    rowDimension - the number of rows in the new matrix
    
    columnDimension - the number of columns in the new matrix
    
    Returns:
    
    a new matrix of the same type as the instance
    
    Throws:
    
    java.lang.IllegalArgumentException - if row or column dimension is not positive
  - copy
```
public abstract RealMatrix copy()
```
    Returns a (deep) copy of this.
    
    Specified by:
    
    copy in interface RealMatrix
    
    Returns:
    
    matrix copy
  - add
```
public RealMatrix add(RealMatrix m)
               throws java.lang.IllegalArgumentException
```
    Compute the sum of this and m.
    
    Specified by:
    
    add in interface RealMatrix
    
    Parameters:
    
    m - matrix to be added
    
    Returns:
    
    this + m
    
    Throws:
    
    java.lang.IllegalArgumentException - if m is not the same size as this
  - subtract
```
public RealMatrix subtract(RealMatrix m)
                    throws java.lang.IllegalArgumentException
```
    Compute this minus m.
    
    Specified by:
    
    subtract in interface RealMatrix
    
    Parameters:
    
    m - matrix to be subtracted
    
    Returns:
    
    this - m
    
    Throws:
    
    java.lang.IllegalArgumentException - if m is not the same size as this
  - scalarAdd
```
public RealMatrix scalarAdd(double d)
```
    Returns the result of adding d to each entry of this.
    
    Specified by:
    
    scalarAdd in interface RealMatrix
    
    Parameters:
    
    d - value to be added to each entry
    
    Returns:
    
    d + this
  - scalarMultiply
```
public RealMatrix scalarMultiply(double d)
```
    Returns the result multiplying each entry of this by d.
    
    Specified by:
    
    scalarMultiply in interface RealMatrix
    
    Parameters:
    
    d - value to multiply all entries by
    
    Returns:
    
    d * this
  - multiply
```
public RealMatrix multiply(RealMatrix m)
                    throws java.lang.IllegalArgumentException
```
    Returns the result of postmultiplying this by m.
    
    Specified by:
    
    multiply in interface RealMatrix
    
    Parameters:
    
    m - matrix to postmultiply by
    
    Returns:
    
    this * m
    
    Throws:
    
    java.lang.IllegalArgumentException - if columnDimension(this) != rowDimension(m)
  - preMultiply
```
public RealMatrix preMultiply(RealMatrix m)
                       throws java.lang.IllegalArgumentException
```
    Returns the result premultiplying this by m.
    
    Specified by:
    
    preMultiply in interface RealMatrix
    
    Parameters:
    
    m - matrix to premultiply by
    
    Returns:
    
    m * this
    
    Throws:
    
    java.lang.IllegalArgumentException - if rowDimension(this) != columnDimension(m)
  - getData
```
public double[][] getData()
```
    Returns matrix entries as a two-dimensional array.
    
    Specified by:
    
    getData in interface RealMatrix
    
    Returns:
    
    2-dimensional array of entries
  - getNorm
```
public double getNorm()
```
    Returns the maximum absolute row sum norm of the matrix.
    
    Specified by:
    
    getNorm in interface RealMatrix
    
    Returns:
    
    norm
  - getFrobeniusNorm
```
public double getFrobeniusNorm()
```
    Returns the Frobenius norm of the matrix.
    
    Specified by:
    
    getFrobeniusNorm in interface RealMatrix
    
    Returns:
    
    norm
  - getSubMatrix
```
public RealMatrix getSubMatrix(int startRow,
                               int endRow,
                               int startColumn,
                               int endColumn)
                        throws MatrixIndexException
```
    Gets a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Specified by:
    
    getSubMatrix in interface RealMatrix
    
    Parameters:
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    Returns:
    
    The subMatrix containing the data of the specified rows and columns
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
  - getSubMatrix
```
public RealMatrix getSubMatrix(int[] selectedRows,
                               int[] selectedColumns)
                        throws MatrixIndexException
```
    Gets a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Specified by:
    
    getSubMatrix in interface RealMatrix
    
    Parameters:
    
    selectedRows - Array of row indices.
    
    selectedColumns - Array of column indices.
    
    Returns:
    
    The subMatrix containing the data in the specified rows and columns
    
    Throws:
    
    MatrixIndexException - if row or column selections are not valid
  - copySubMatrix
```
public void copySubMatrix(int startRow,
                          int endRow,
                          int startColumn,
                          int endColumn,
                          double[][] destination)
                   throws MatrixIndexException,
                          java.lang.IllegalArgumentException
```
    Copy a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Specified by:
    
    copySubMatrix in interface RealMatrix
    
    Parameters:
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    destination - The arrays where the submatrix data should be copied (if larger than rows/columns counts, only the upper-left part will be used)
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    java.lang.IllegalArgumentException - if the destination array is too small
  - copySubMatrix
```
public void copySubMatrix(int[] selectedRows,
                          int[] selectedColumns,
                          double[][] destination)
                   throws MatrixIndexException,
                          java.lang.IllegalArgumentException
```
    Copy a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Specified by:
    
    copySubMatrix in interface RealMatrix
    
    Parameters:
    
    selectedRows - Array of row indices.
    
    selectedColumns - Array of column indices.
    
    destination - The arrays where the submatrix data should be copied (if larger than rows/columns counts, only the upper-left part will be used)
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    java.lang.IllegalArgumentException - if the destination array is too small
  - setSubMatrix
```
public void setSubMatrix(double[][] subMatrix,
                         int row,
                         int column)
                  throws MatrixIndexException
```
    Replace the submatrix starting at row, column using data in the input subMatrix array. Indexes are 0-based.
    Example:
    Starting with
    1 2 3 4 5 6 7 8 9 0 1 2
    and subMatrix = {{3, 4} {5,6}}, invoking setSubMatrix(subMatrix,1,1)) will result in
    1 2 3 4 5 3 4 8 9 5 6 2
    Specified by:
    
    setSubMatrix in interface RealMatrix
    
    Parameters:
    
    subMatrix - array containing the submatrix replacement data
    
    row - row coordinate of the top, left element to be replaced
    
    column - column coordinate of the top, left element to be replaced
    
    Throws:
    
    MatrixIndexException - if subMatrix does not fit into this matrix from element in (row, column)
  - getRowMatrix
```
public RealMatrix getRowMatrix(int row)
                        throws MatrixIndexException
```
    Returns the entries in row number row as a row matrix. Row indices start at 0.
    
    Specified by:
    
    getRowMatrix in interface RealMatrix
    
    Parameters:
    
    row - the row to be fetched
    
    Returns:
    
    row matrix
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
  - setRowMatrix
```
public void setRowMatrix(int row,
                         RealMatrix matrix)
                  throws MatrixIndexException,
                         InvalidMatrixException
```
    Sets the entries in row number row as a row matrix. Row indices start at 0.
    
    Specified by:
    
    setRowMatrix in interface RealMatrix
    
    Parameters:
    
    row - the row to be set
    
    matrix - row matrix (must have one row and the same number of columns as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
    
    InvalidMatrixException - if the matrix dimensions do not match one instance row
  - getColumnMatrix
```
public RealMatrix getColumnMatrix(int column)
                           throws MatrixIndexException
```
    Returns the entries in column number column as a column matrix. Column indices start at 0.
    
    Specified by:
    
    getColumnMatrix in interface RealMatrix
    
    Parameters:
    
    column - the column to be fetched
    
    Returns:
    
    column matrix
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
  - setColumnMatrix
```
public void setColumnMatrix(int column,
                            RealMatrix matrix)
                     throws MatrixIndexException,
                            InvalidMatrixException
```
    Sets the entries in column number column as a column matrix. Column indices start at 0.
    
    Specified by:
    
    setColumnMatrix in interface RealMatrix
    
    Parameters:
    
    column - the column to be set
    
    matrix - column matrix (must have one column and the same number of rows as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
    
    InvalidMatrixException - if the matrix dimensions do not match one instance column
  - getRowVector
```
public RealVector getRowVector(int row)
                        throws MatrixIndexException
```
    Returns the entries in row number row as a vector. Row indices start at 0.
    
    Specified by:
    
    getRowVector in interface RealMatrix
    
    Parameters:
    
    row - the row to be fetched
    
    Returns:
    
    row vector
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
  - setRowVector
```
public void setRowVector(int row,
                         RealVector vector)
                  throws MatrixIndexException,
                         InvalidMatrixException
```
    Sets the entries in row number row as a vector. Row indices start at 0.
    
    Specified by:
    
    setRowVector in interface RealMatrix
    
    Parameters:
    
    row - the row to be set
    
    vector - row vector (must have the same number of columns as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
    
    InvalidMatrixException - if the vector dimension does not match one instance row
  - getColumnVector
```
public RealVector getColumnVector(int column)
                           throws MatrixIndexException
```
    Returns the entries in column number column as a vector. Column indices start at 0.
    
    Specified by:
    
    getColumnVector in interface RealMatrix
    
    Parameters:
    
    column - the column to be fetched
    
    Returns:
    
    column vector
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
  - setColumnVector
```
public void setColumnVector(int column,
                            RealVector vector)
                     throws MatrixIndexException,
                            InvalidMatrixException
```
    Sets the entries in column number column as a vector. Column indices start at 0.
    
    Specified by:
    
    setColumnVector in interface RealMatrix
    
    Parameters:
    
    column - the column to be set
    
    vector - column vector (must have the same number of rows as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
    
    InvalidMatrixException - if the vector dimension does not match one instance column
  - getRow
```
public double[] getRow(int row)
                throws MatrixIndexException
```
    Returns the entries in row number row as an array.
    Row indices start at 0. A MatrixIndexException is thrown unless 0 <= row < rowDimension.
    
    Specified by:
    
    getRow in interface RealMatrix
    
    Parameters:
    
    row - the row to be fetched
    
    Returns:
    
    array of entries in the row
    
    Throws:
    
    MatrixIndexException - if the specified row index is not valid
  - setRow
```
public void setRow(int row,
                   double[] array)
            throws MatrixIndexException,
                   InvalidMatrixException
```
    Sets the entries in row number row as a row matrix. Row indices start at 0.
    
    Specified by:
    
    setRow in interface RealMatrix
    
    Parameters:
    
    row - the row to be set
    
    array - row matrix (must have the same number of columns as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
    
    InvalidMatrixException - if the array size does not match one instance row
  - getColumn
```
public double[] getColumn(int column)
                   throws MatrixIndexException
```
    Returns the entries in column number col as an array.
    Column indices start at 0. A MatrixIndexException is thrown unless 0 <= column < columnDimension.
    
    Specified by:
    
    getColumn in interface RealMatrix
    
    Parameters:
    
    column - the column to be fetched
    
    Returns:
    
    array of entries in the column
    
    Throws:
    
    MatrixIndexException - if the specified column index is not valid
  - setColumn
```
public void setColumn(int column,
                      double[] array)
               throws MatrixIndexException,
                      InvalidMatrixException
```
    Sets the entries in column number column as a column matrix. Column indices start at 0.
    
    Specified by:
    
    setColumn in interface RealMatrix
    
    Parameters:
    
    column - the column to be set
    
    array - column array (must have the same number of rows as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
    
    InvalidMatrixException - if the array size does not match one instance column
  - getEntry
```
public abstract double getEntry(int row,
                                int column)
                         throws MatrixIndexException
```
    Returns the entry in the specified row and column.
    Row and column indices start at 0 and must satisfy
    
    0 <= row < rowDimension
    
    0 <= column < columnDimension
    
    otherwise a MatrixIndexException is thrown.
    Specified by:
    
    getEntry in interface RealMatrix
    
    Parameters:
    
    row - row location of entry to be fetched
    
    column - column location of entry to be fetched
    
    Returns:
    
    matrix entry in row,column
    
    Throws:
    
    MatrixIndexException - if the row or column index is not valid
  - setEntry
```
public abstract void setEntry(int row,
                              int column,
                              double value)
                       throws MatrixIndexException
```
    Set the entry in the specified row and column.
    Row and column indices start at 0 and must satisfy
    
    0 <= row < rowDimension
    
    0 <= column < columnDimension
    
    otherwise a MatrixIndexException is thrown.
    Specified by:
    
    setEntry in interface RealMatrix
    
    Parameters:
    
    row - row location of entry to be set
    
    column - column location of entry to be set
    
    value - matrix entry to be set in row,column
    
    Throws:
    
    MatrixIndexException - if the row or column index is not valid
  - addToEntry
```
public abstract void addToEntry(int row,
                                int column,
                                double increment)
                         throws MatrixIndexException
```
    Change an entry in the specified row and column.
    Row and column indices start at 0 and must satisfy
    
    0 <= row < rowDimension
    
    0 <= column < columnDimension
    
    otherwise a MatrixIndexException is thrown.
    Specified by:
    
    addToEntry in interface RealMatrix
    
    Parameters:
    
    row - row location of entry to be set
    
    column - column location of entry to be set
    
    increment - value to add to the current matrix entry in row,column
    
    Throws:
    
    MatrixIndexException - if the row or column index is not valid
  - multiplyEntry
```
public abstract void multiplyEntry(int row,
                                   int column,
                                   double factor)
                            throws MatrixIndexException
```
    Change an entry in the specified row and column.
    Row and column indices start at 0 and must satisfy
    
    0 <= row < rowDimension
    
    0 <= column < columnDimension
    
    otherwise a MatrixIndexException is thrown.
    Specified by:
    
    multiplyEntry in interface RealMatrix
    
    Parameters:
    
    row - row location of entry to be set
    
    column - column location of entry to be set
    
    factor - multiplication factor for the current matrix entry in row,column
    
    Throws:
    
    MatrixIndexException - if the row or column index is not valid
  - transpose
```
public RealMatrix transpose()
```
    Returns the transpose of this matrix.
    
    Specified by:
    
    transpose in interface RealMatrix
    
    Returns:
    
    transpose matrix
  - inverse
```
@Deprecated
public RealMatrix inverse()
                   throws InvalidMatrixException
```
    Deprecated.
    
    Returns the inverse of this matrix.
    
    Specified by:
    
    inverse in interface RealMatrix
    
    Returns:
    
    inverse matrix
    
    Throws:
    
    InvalidMatrixException - if this is not invertible
  - getDeterminant
```
@Deprecated
public double getDeterminant()
                      throws InvalidMatrixException
```
    Deprecated.
    
    Returns the determinant of this matrix.
    
    Specified by:
    
    getDeterminant in interface RealMatrix
    
    Returns:
    
    determinant
    
    Throws:
    
    InvalidMatrixException
  - isSquare
```
public boolean isSquare()
```
    Is this a square matrix?
    
    Specified by:
    
    isSquare in interface AnyMatrix
    
    Returns:
    
    true if the matrix is square (rowDimension = columnDimension)
  - isSingular
```
@Deprecated
public boolean isSingular()
```
    Deprecated.
    
    Is this a singular matrix?
    
    Specified by:
    
    isSingular in interface RealMatrix
    
    Returns:
    
    true if the matrix is singular
  - getRowDimension
```
public abstract int getRowDimension()
```
    Returns the number of rows in the matrix.
    
    Specified by:
    
    getRowDimension in interface AnyMatrix
    
    Returns:
    
    rowDimension
  - getColumnDimension
```
public abstract int getColumnDimension()
```
    Returns the number of columns in the matrix.
    
    Specified by:
    
    getColumnDimension in interface AnyMatrix
    
    Returns:
    
    columnDimension
  - getTrace
```
public double getTrace()
                throws NonSquareMatrixException
```
    Returns the trace of the matrix (the sum of the elements on the main diagonal).
    
    Specified by:
    
    getTrace in interface RealMatrix
    
    Returns:
    
    trace
    
    Throws:
    
    NonSquareMatrixException - if the matrix is not square
  - operate
```
public double[] operate(double[] v)
                 throws java.lang.IllegalArgumentException
```
    Returns the result of multiplying this by the vector v.
    
    Specified by:
    
    operate in interface RealMatrix
    
    Parameters:
    
    v - the vector to operate on
    
    Returns:
    
    this*v
    
    Throws:
    
    java.lang.IllegalArgumentException - if columnDimension != v.size()
  - operate
```
public RealVector operate(RealVector v)
                   throws java.lang.IllegalArgumentException
```
    Returns the result of multiplying this by the vector v.
    
    Specified by:
    
    operate in interface RealMatrix
    
    Parameters:
    
    v - the vector to operate on
    
    Returns:
    
    this*v
    
    Throws:
    
    java.lang.IllegalArgumentException - if columnDimension != v.size()
  - preMultiply
```
public double[] preMultiply(double[] v)
                     throws java.lang.IllegalArgumentException
```
    Returns the (row) vector result of premultiplying this by the vector v.
    
    Specified by:
    
    preMultiply in interface RealMatrix
    
    Parameters:
    
    v - the row vector to premultiply by
    
    Returns:
    
    v*this
    
    Throws:
    
    java.lang.IllegalArgumentException - if rowDimension != v.size()
  - preMultiply
```
public RealVector preMultiply(RealVector v)
                       throws java.lang.IllegalArgumentException
```
    Returns the (row) vector result of premultiplying this by the vector v.
    
    Specified by:
    
    preMultiply in interface RealMatrix
    
    Parameters:
    
    v - the row vector to premultiply by
    
    Returns:
    
    v*this
    
    Throws:
    
    java.lang.IllegalArgumentException - if rowDimension != v.size()
  - walkInRowOrder
```
public double walkInRowOrder(RealMatrixChangingVisitor visitor)
                      throws MatrixVisitorException
```
    Visit (and possibly change) all matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Specified by:
    
    walkInRowOrder in interface RealMatrix
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInRowOrder
```
public double walkInRowOrder(RealMatrixPreservingVisitor visitor)
                      throws MatrixVisitorException
```
    Visit (but don't change) all matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Specified by:
    
    walkInRowOrder in interface RealMatrix
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInRowOrder
```
public double walkInRowOrder(RealMatrixChangingVisitor visitor,
                             int startRow,
                             int endRow,
                             int startColumn,
                             int endColumn)
                      throws MatrixIndexException,
                             MatrixVisitorException
```
    Visit (and possibly change) some matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Specified by:
    
    walkInRowOrder in interface RealMatrix
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInRowOrder
```
public double walkInRowOrder(RealMatrixPreservingVisitor visitor,
                             int startRow,
                             int endRow,
                             int startColumn,
                             int endColumn)
                      throws MatrixIndexException,
                             MatrixVisitorException
```
    Visit (but don't change) some matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Specified by:
    
    walkInRowOrder in interface RealMatrix
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
public double walkInColumnOrder(RealMatrixChangingVisitor visitor)
                         throws MatrixVisitorException
```
    Visit (and possibly change) all matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Specified by:
    
    walkInColumnOrder in interface RealMatrix
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
public double walkInColumnOrder(RealMatrixPreservingVisitor visitor)
                         throws MatrixVisitorException
```
    Visit (but don't change) all matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Specified by:
    
    walkInColumnOrder in interface RealMatrix
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
public double walkInColumnOrder(RealMatrixChangingVisitor visitor,
                                int startRow,
                                int endRow,
                                int startColumn,
                                int endColumn)
                         throws MatrixIndexException,
                                MatrixVisitorException
```
    Visit (and possibly change) some matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Specified by:
    
    walkInColumnOrder in interface RealMatrix
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
public double walkInColumnOrder(RealMatrixPreservingVisitor visitor,
                                int startRow,
                                int endRow,
                                int startColumn,
                                int endColumn)
                         throws MatrixIndexException,
                                MatrixVisitorException
```
    Visit (but don't change) some matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Specified by:
    
    walkInColumnOrder in interface RealMatrix
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
public double walkInOptimizedOrder(RealMatrixChangingVisitor visitor)
                            throws MatrixVisitorException
```
    Visit (and possibly change) all matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Specified by:
    
    walkInOptimizedOrder in interface RealMatrix
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
public double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor)
                            throws MatrixVisitorException
```
    Visit (but don't change) all matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Specified by:
    
    walkInOptimizedOrder in interface RealMatrix
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
public double walkInOptimizedOrder(RealMatrixChangingVisitor visitor,
                                   int startRow,
                                   int endRow,
                                   int startColumn,
                                   int endColumn)
                            throws MatrixIndexException,
                                   MatrixVisitorException
```
    Visit (and possibly change) some matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Specified by:
    
    walkInOptimizedOrder in interface RealMatrix
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
public double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor,
                                   int startRow,
                                   int endRow,
                                   int startColumn,
                                   int endColumn)
                            throws MatrixIndexException,
                                   MatrixVisitorException
```
    Visit (but don't change) some matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Specified by:
    
    walkInOptimizedOrder in interface RealMatrix
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
  - solve
```
@Deprecated
public double[] solve(double[] b)
               throws java.lang.IllegalArgumentException,
                      InvalidMatrixException
```
    Deprecated.
    
    Returns the solution vector for a linear system with coefficient matrix = this and constant vector = b.
    
    Specified by:
    
    solve in interface RealMatrix
    
    Parameters:
    
    b - constant vector
    
    Returns:
    
    vector of solution values to AX = b, where A is *this
    
    Throws:
    
    java.lang.IllegalArgumentException - if this.rowDimension != b.length
    
    InvalidMatrixException - if this matrix is not square or is singular
  - solve
```
@Deprecated
public RealMatrix solve(RealMatrix b)
                 throws java.lang.IllegalArgumentException,
                        InvalidMatrixException
```
    Deprecated.
    
    Returns a matrix of (column) solution vectors for linear systems with coefficient matrix = this and constant vectors = columns of b.
    
    Specified by:
    
    solve in interface RealMatrix
    
    Parameters:
    
    b - matrix of constant vectors forming RHS of linear systems to to solve
    
    Returns:
    
    matrix of solution vectors
    
    Throws:
    
    java.lang.IllegalArgumentException - if this.rowDimension != row dimension
    
    InvalidMatrixException - if this matrix is not square or is singular
  - luDecompose
```
@Deprecated
public void luDecompose()
                 throws InvalidMatrixException
```
    Deprecated.
    as of release 2.0, replaced by LUDecomposition
    
    Computes a new LU decomposition for this matrix, storing the result for use by other methods.
    Implementation Note:
    Uses Crout's algorithm, with partial pivoting.
    
    Usage Note:
    This method should rarely be invoked directly. Its only use is to force recomputation of the LU decomposition when changes have been made to the underlying data using direct array references. Changes made using setXxx methods will trigger recomputation when needed automatically.
    
    Throws:
    
    InvalidMatrixException - if the matrix is non-square or singular.
  - toString
```
public java.lang.String toString()
```
    Get a string representation for this matrix.
    
    Overrides:
    
    toString in class java.lang.Object
    
    Returns:
    
    a string representation for this matrix
  - equals
```
public boolean equals(java.lang.Object object)
```
    Returns true iff object is a RealMatrix instance with the same dimensions as this and all corresponding matrix entries are equal.
    
    Overrides:
    
    equals in class java.lang.Object
    
    Parameters:
    
    object - the object to test equality against.
    
    Returns:
    
    true if object equals this
  - hashCode
```
public int hashCode()
```
    Computes a hashcode for the matrix.
    
    Overrides:
    
    hashCode in class java.lang.Object
    
    Returns:
    
    hashcode for matrix

Class AbstractRealMatrix

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

AbstractRealMatrix

AbstractRealMatrix

Method Detail

createMatrix

copy

add

subtract

scalarAdd

scalarMultiply

multiply

preMultiply

getData

getNorm

getFrobeniusNorm

getSubMatrix

getSubMatrix

copySubMatrix

copySubMatrix

setSubMatrix

getRowMatrix

setRowMatrix

getColumnMatrix

setColumnMatrix

getRowVector

setRowVector

getColumnVector

setColumnVector

getRow

setRow

getColumn

setColumn

getEntry

setEntry

addToEntry

multiplyEntry

transpose

inverse

getDeterminant

isSquare

isSingular

getRowDimension

getColumnDimension

getTrace

operate

operate

preMultiply

preMultiply

walkInRowOrder

walkInRowOrder

walkInRowOrder

walkInRowOrder

walkInColumnOrder

walkInColumnOrder

walkInColumnOrder

walkInColumnOrder

walkInOptimizedOrder

walkInOptimizedOrder

walkInOptimizedOrder

walkInOptimizedOrder

solve

solve

luDecompose

toString

equals

hashCode