Dong, Yijun; Martinsson, Per-Gunnar Simpler is better: a comparative study of randomized pivoting algorithms for CUR and interpolative decompositions. (English) Zbl 07741460 Adv. Comput. Math. 49, No. 4, Paper No. 66, 29 p. (2023). MSC: 65F55 PDFBibTeX XMLCite \textit{Y. Dong} and \textit{P.-G. Martinsson}, Adv. Comput. Math. 49, No. 4, Paper No. 66, 29 p. (2023; Zbl 07741460) Full Text: DOI
Druinsky, Alex; Carlebach, Eyal; Toledo, Sivan Wilkinson’s inertia-revealing factorization and its application to sparse matrices. (English) Zbl 1424.65048 Numer. Linear Algebra Appl. 25, No. 2, e2130, 18 p. (2018). MSC: 65F30 65F50 15A23 PDFBibTeX XMLCite \textit{A. Druinsky} et al., Numer. Linear Algebra Appl. 25, No. 2, e2130, 18 p. (2018; Zbl 1424.65048) Full Text: DOI arXiv
Grigori, Laura; Cayrols, Sebastien; Demmel, James W. Low rank approximation of a sparse matrix based on LU factorization with column and row tournament pivoting. (English) Zbl 1453.65090 SIAM J. Sci. Comput. 40, No. 2, C181-C209 (2018). MSC: 65F55 65F50 PDFBibTeX XMLCite \textit{L. Grigori} et al., SIAM J. Sci. Comput. 40, No. 2, C181--C209 (2018; Zbl 1453.65090) Full Text: DOI
Grigori, Laura Introduction to communication avoiding algorithms for direct methods of factorization in linear algebra. (English) Zbl 1443.65032 Mateos, Mariano (ed.) et al., Computational mathematics, numerical analysis and applications. Lecture notes of the XVII ‘Jacques-Louis Lions’ Spanish-French school, Gijón, Spain, June 2016. Cham: Springer. SEMA SIMAI Springer Ser. 13, 153-185 (2017). MSC: 65F05 65Y05 68W10 68W40 PDFBibTeX XMLCite \textit{L. Grigori}, SEMA SIMAI Springer Ser. 13, 153--185 (2017; Zbl 1443.65032) Full Text: DOI
Beliakov, Gleb; Matiyasevich, Yuri A parallel algorithm for calculation of determinants and minors using arbitrary precision arithmetic. (English) Zbl 1338.65117 BIT 56, No. 1, 33-50 (2016). MSC: 65F40 65Y05 65D20 11M06 PDFBibTeX XMLCite \textit{G. Beliakov} and \textit{Y. Matiyasevich}, BIT 56, No. 1, 33--50 (2016; Zbl 1338.65117) Full Text: DOI arXiv
Amestoy, Patrick R.; L’Excellent, Jean-Yves; Rouet, François-Henry; Sid-Lakhdar, Wissam M. Modeling 1D distributed-memory dense kernels for an asynchronous multifrontal sparse solver. (English) Zbl 1514.65047 Daydé, Michel (ed.) et al., High performance computing for computational science – VECPAR 2014. 11th international conference, Eugene, OR, USA, June 30 – July 3, 2014. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 8969, 156-169 (2015). MSC: 65F50 PDFBibTeX XMLCite \textit{P. R. Amestoy} et al., Lect. Notes Comput. Sci. 8969, 156--169 (2015; Zbl 1514.65047) Full Text: DOI
Grigori, Laura; Moufawad, Sophie Communication avoiding ILU0 preconditioner. (English) Zbl 1328.65076 SIAM J. Sci. Comput. 37, No. 2, C217-C246 (2015). MSC: 65F08 65F10 65Y05 68W10 PDFBibTeX XMLCite \textit{L. Grigori} and \textit{S. Moufawad}, SIAM J. Sci. Comput. 37, No. 2, C217--C246 (2015; Zbl 1328.65076) Full Text: DOI
Ballard, G.; Carson, E.; Demmel, J.; Hoemmen, M.; Knight, N.; Schwartz, O. Communication lower bounds and optimal algorithms for numerical linear algebra. (English) Zbl 1396.65082 Acta Numerica 23, 1-155 (2014). MSC: 65Fxx 65Y20 65-02 PDFBibTeX XMLCite \textit{G. Ballard} et al., Acta Numerica 23, 1--155 (2014; Zbl 1396.65082) Full Text: DOI
Suzuki, A.; Roux, F.-X. A dissection solver with kernel detection for symmetric finite element matrices on shared memory computers. (English) Zbl 1352.65457 Int. J. Numer. Methods Eng. 100, No. 2, 136-164 (2014). MSC: 65N22 65N30 65N55 65Y10 PDFBibTeX XMLCite \textit{A. Suzuki} and \textit{F. X. Roux}, Int. J. Numer. Methods Eng. 100, No. 2, 136--164 (2014; Zbl 1352.65457) Full Text: DOI Link
Nakatsukasa, Yuji; Higham, Nicholas J. Stable and efficient spectral divide and conquer algorithms for the symmetric eigenvalue decomposition and the SVD. (English) Zbl 1326.65049 SIAM J. Sci. Comput. 35, No. 3, A1325-A1349 (2013). Reviewer: Juri M. Rappoport (Moskva) MSC: 65F15 15A23 65F30 65G50 PDFBibTeX XMLCite \textit{Y. Nakatsukasa} and \textit{N. J. Higham}, SIAM J. Sci. Comput. 35, No. 3, A1325--A1349 (2013; Zbl 1326.65049) Full Text: DOI Link
Demmel, James; Grigori, Laura; Hoemmen, Mark; Langou, Julien Communication-optimal parallel and sequential QR and LU factorizations. (English) Zbl 1241.65028 SIAM J. Sci. Comput. 34, No. 1, A206-A239 (2012). MSC: 65F05 65Y05 65Y20 15A23 65F25 65F20 PDFBibTeX XMLCite \textit{J. Demmel} et al., SIAM J. Sci. Comput. 34, No. 1, A206--A239 (2012; Zbl 1241.65028) Full Text: DOI arXiv
Grigori, Laura; Demmel, James W.; Xiang, Hua CALU: A communication optimal LU factorization algorithm. (English) Zbl 1242.65089 SIAM J. Matrix Anal. Appl. 32, No. 4, 1317-1350 (2011). Reviewer: Temur Jangveladze (Tbilisi) MSC: 65F50 65F05 65Y05 PDFBibTeX XMLCite \textit{L. Grigori} et al., SIAM J. Matrix Anal. Appl. 32, No. 4, 1317--1350 (2011; Zbl 1242.65089) Full Text: DOI
Grigori, Laura; Boman, Erik G.; Donfack, Simplice; Davis, Timothy A. Hypergraph-based unsymmetric nested dissection ordering for sparse LU factorization. (English) Zbl 1221.65085 SIAM J. Sci. Comput. 32, No. 6, 3426-3446 (2010). MSC: 65F05 65F50 05C50 PDFBibTeX XMLCite \textit{L. Grigori} et al., SIAM J. Sci. Comput. 32, No. 6, 3426--3446 (2010; Zbl 1221.65085) Full Text: DOI Link