QRDecomposition (Commons Math 2.2 API)

All Known Implementing Classes:

QRDecompositionImpl
```
public interface QRDecomposition
```
An interface to classes that implement an algorithm to calculate the QR-decomposition of a real matrix.
This interface is based on the class with similar name from the JAMA library, with the following changes:
- a getQT method has been added,
- the solve and isFullRank methods have been replaced by a getSolver method and the equivalent methods provided by the returned DecompositionSolver.
Since:

1.2

Version:

$Revision: 826627 $ $Date: 2009-10-19 12:27:47 +0200 (lun. 19 oct. 2009) $

See Also:

MathWorld, Wikipedia

Method Summary

All Methods Instance Methods Abstract Methods
Modifier and Type	Method	Description
`RealMatrix`	`getH()`	Returns the Householder reflector vectors.
`RealMatrix`	`getQ()`	Returns the matrix Q of the decomposition.
`RealMatrix`	`getQT()`	Returns the transpose of the matrix Q of the decomposition.
`RealMatrix`	`getR()`	Returns the matrix R of the decomposition.
`DecompositionSolver`	`getSolver()`	Get a solver for finding the A × X = B solution in least square sense.

- Method Detail
  - getR
```
RealMatrix getR()
```
    Returns the matrix R of the decomposition.
    R is an upper-triangular matrix
    
    Returns:
    
    the R matrix
  - getQ
```
RealMatrix getQ()
```
    Returns the matrix Q of the decomposition.
    Q is an orthogonal matrix
    
    Returns:
    
    the Q matrix
  - getQT
```
RealMatrix getQT()
```
    Returns the transpose of the matrix Q of the decomposition.
    Q is an orthogonal matrix
    
    Returns:
    
    the Q matrix
  - getH
```
RealMatrix getH()
```
    Returns the Householder reflector vectors.
    H is a lower trapezoidal matrix whose columns represent each successive Householder reflector vector. This matrix is used to compute Q.
    
    Returns:
    
    a matrix containing the Householder reflector vectors
  - getSolver
```
DecompositionSolver getSolver()
```
    Get a solver for finding the A × X = B solution in least square sense.
    
    Returns:
    
    a solver