Bibliography

Global FFPACK::LeadingSubmatrixRankProfiles (const size_t M, const size_t N, const size_t R, const size_t LSm, const size_t LSn, const size_t *P, const size_t *Q, size_t *RRP, size_t *CRP)

• Dumas J-G., Pernet C., and Sultan Z. Simultaneous computation of the row and column rank profiles , ISSAC'13.

Global FFPACK::LUdivine (const Field &F, const FFLAS::FFLAS_DIAG Diag, const FFLAS::FFLAS_TRANSPOSE trans, const size_t M, const size_t N, typename Field::Element_ptr A, const size_t lda, size_t *P, size_t *Qt, const FFPACK_LU_TAG LuTag=FfpackSlabRecursive, const size_t cutoff=__FFLASFFPACK_LUDIVINE_THRESHOLD)

• Jeannerod C-P, Pernet, C. and Storjohann, A. Rank-profile revealing Gaussian elimination and the CUP matrix decomposition , J. of Symbolic Comp., 2013
• Pernet C, Brassel M LUdivine, une divine factorisation LU, 2002

Global FFPACK::PLUQ (const Field &F, const FFLAS::FFLAS_DIAG Diag, const size_t M, const size_t N, typename Field::Element_ptr A, const size_t lda, size_t *P, size_t *Q)

• Dumas J-G., Pernet C., and Sultan Z. Simultaneous computation of the row and column rank profiles , ISSAC'13, 2013

Global FFPACK::productBruhatxTS (const Field &Fi, size_t N, size_t s, size_t r, size_t t, const size_t *P, const size_t *Q, typename Field::ConstElement_ptr Xu, size_t ldu, size_t NbBlocksU, const size_t *Ku, const size_t *Tu, const size_t *MU, typename Field::ConstElement_ptr Xl, size_t ldl, size_t NbBlocksL, const size_t *Kl, const size_t *Tl, const size_t *ML, typename Field::Element_ptr B, size_t ldb, const typename Field::Element beta, typename Field::Element_ptr D, size_t ldd)

Pernet C. and Storjohann A. Time and space efficient generators for quasiseparable matrices , JSC (85), 2018, doi:10.1016/j.jsc.2017.07.010

Global FFPACK::Protected::GaussJordan (const Field &F, const size_t M, const size_t N, typename Field::Element_ptr A, const size_t lda, const size_t colbeg, const size_t rowbeg, const size_t colsize, size_t *P, size_t *Q, const FFPACK::FFPACK_LU_TAG LuTag)

• Algorithm 2.8 of A. Storjohann Thesis 2000,
• Algorithm 11 of Jeannerod C-P., Pernet, C. and Storjohann, A. Rank-profile revealing Gaussian elimination and the CUP matrix decomposition , J. of Symbolic Comp., 2013

Class ftrsmLeftUpperNoTransNonUnit< Element >

• Dumas, Giorgi, Pernet 06, arXiv:cs/0601133.