Liu, Xiao; Xia, Jianlin; de Hoop, Maarten Fast factorization update for general elliptic equations under multiple coefficient updates. (English) Zbl 1442.65033 SIAM J. Sci. Comput. 42, No. 2, A1174-A1199 (2020). MSC: 65F05 65N22 65Y20 PDFBibTeX XMLCite \textit{X. Liu} et al., SIAM J. Sci. Comput. 42, No. 2, A1174--A1199 (2020; Zbl 1442.65033) Full Text: DOI
Duff, Iain; Hogg, Jonathan; Lopez, Florent A new sparse \(LDL^T\) solver using a posteriori threshold pivoting. (English) Zbl 1434.65049 SIAM J. Sci. Comput. 42, No. 2, C23-C42 (2020). MSC: 65F50 65F05 65F10 PDFBibTeX XMLCite \textit{I. Duff} et al., SIAM J. Sci. Comput. 42, No. 2, C23--C42 (2020; Zbl 1434.65049) Full Text: DOI
Song, Qi; Yang, Ren; Chen, Pu An improvement to exact reanalysis algorithm for local non-topological structural modifications. (English) Zbl 1476.65325 Int. J. Comput. Methods 17, No. 4, Article ID 1850148, 20 p. (2020). MSC: 65N50 PDFBibTeX XMLCite \textit{Q. Song} et al., Int. J. Comput. Methods 17, No. 4, Article ID 1850148, 20 p. (2020; Zbl 1476.65325) Full Text: DOI
Kuřátko, Jan Factorization of saddle-point matrices in dynamical systems optimization – reusing pivots. (English) Zbl 1410.65079 Linear Algebra Appl. 566, 61-85 (2019). MSC: 65F05 65F50 65K05 90C20 90C30 PDFBibTeX XMLCite \textit{J. Kuřátko}, Linear Algebra Appl. 566, 61--85 (2019; Zbl 1410.65079) Full Text: DOI arXiv
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
Krause, Rolf; Rigazzi, Alessandro; Steiner, Johannes A parallel multigrid method for constrained minimization problems and its application to friction, contact, and obstacle problems. (English) Zbl 1360.65175 Comput. Vis. Sci. 18, No. 1, 1-15 (2016). MSC: 65K10 65Y05 15A09 15A15 15A23 65N55 74S30 74P10 74M10 74M15 PDFBibTeX XMLCite \textit{R. Krause} et al., Comput. Vis. Sci. 18, No. 1, 1--15 (2016; Zbl 1360.65175) Full Text: DOI
Maurer, Daniel; Wieners, Christian A scalable parallel factorization of finite element matrices with distributed Schur complements. (English) Zbl 1413.65415 Numer. Linear Algebra Appl. 23, No. 5, 848-864 (2016). MSC: 65N22 65F05 65Y05 PDFBibTeX XMLCite \textit{D. Maurer} and \textit{C. Wieners}, Numer. Linear Algebra Appl. 23, No. 5, 848--864 (2016; Zbl 1413.65415) Full Text: DOI
Lungten, S.; Schilders, W. H. A.; Maubach, J. M. L. Sparse block factorization of saddle point matrices. (English) Zbl 1386.65128 Linear Algebra Appl. 502, 214-242 (2016). MSC: 65F50 15A23 PDFBibTeX XMLCite \textit{S. Lungten} et al., Linear Algebra Appl. 502, 214--242 (2016; Zbl 1386.65128) Full Text: DOI
Paszyński, Maciej Fast solvers for mesh-based computations. (English) Zbl 1334.65069 Advances in Applied Mathematics (Boca Raton). Boca Raton, FL: CRC Press (ISBN 978-1-4987-5419-4/hbk; 978-1-4987-5420-0/ebook). xxxviii, 313 p. (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F05 65M50 65N50 65L50 65F50 65-02 65L60 65N30 65M60 65M06 65N06 65L12 65Y05 PDFBibTeX XMLCite \textit{M. Paszyński}, Fast solvers for mesh-based computations. Boca Raton, FL: CRC Press (2016; Zbl 1334.65069) Full Text: Link
Hogg, Jonathan; Scott, Jennifer On the use of suboptimal matchings for scaling and ordering sparse symmetric matrices. (English) Zbl 1363.65039 Numer. Linear Algebra Appl. 22, No. 4, 648-663 (2015). Reviewer: Miroslav Tůma (Praha) MSC: 65F05 65F35 65Y05 05C70 65F50 PDFBibTeX XMLCite \textit{J. Hogg} and \textit{J. Scott}, Numer. Linear Algebra Appl. 22, No. 4, 648--663 (2015; Zbl 1363.65039) Full Text: DOI
Pardo, David; Paszynski, Maciej; Collier, Nathan; Alvarez, Julen; Dalcin, Lisandro; Calo, Victor M. A survey on direct solvers for Galerkin methods. (English) Zbl 1311.65030 S\(\vec{\text{e}}\)MA J. 57, 107-134 (2012). MSC: 65F05 65-02 65Y05 65F35 65F50 65N30 65G50 PDFBibTeX XMLCite \textit{D. Pardo} et al., S\(\vec{\text{e}}\)MA J. 57, 107--134 (2012; Zbl 1311.65030) Full Text: DOI
Grigori, Laura; Wakam, Desire Nuentsa; Xiang, Hua Saving flops in LU based shift-and-invert strategy. (English) Zbl 1196.65074 J. Comput. Appl. Math. 234, No. 12, 3216-3225 (2010). MSC: 65F15 65F05 PDFBibTeX XMLCite \textit{L. Grigori} et al., J. Comput. Appl. Math. 234, No. 12, 3216--3225 (2010; Zbl 1196.65074) Full Text: DOI
Schenk, O.; van der Vorst, H. A. Solution of linear system. (English) Zbl 1099.78019 Schilders, W. H. A. (ed.) et al., Handbook of numerical analysis. Vol XIII. Special volume: Numerical methods in electromagnetics. Amsterdam: Elsevier/North Holland (ISBN 0-444-51375-2/hbk). Handbook of Numerical Analysis 13, 755-824 (2005). Reviewer: Georg Hebermehl (Berlin) MSC: 78M25 65F05 65F10 65F50 65Y05 PDFBibTeX XMLCite \textit{O. Schenk} and \textit{H. A. van der Vorst}, Handb. Numer. Anal. 13, 755--824 (2005; Zbl 1099.78019)
Schenk, O.; Gärtner, K. Solving unsymmetric sparse systems of linear equations with PARDISO. (English) Zbl 1062.65035 Sloot, Peter M. A. (ed.) et al., Computational science - ICCS 2002. 2nd international conference, Amsterdam, the Netherlands, April. 21–24, 2002. Proceedings. Part 2. Berlin: Springer (ISBN 3-540-43593-X). Lect. Notes Comput. Sci. 2330, 355-363 (2002). MSC: 65F05 65F50 65Y05 65Y20 PDFBibTeX XMLCite \textit{O. Schenk} and \textit{K. Gärtner}, Lect. Notes Comput. Sci. 2330, 355--363 (2002; Zbl 1062.65035) Full Text: Link