Ameli, Siavash; Shadden, Shawn C. Interpolating log-determinant and trace of the powers of matrix \(\mathbf{A}+ t\mathbf{B}\). (English) Zbl 1499.62010 Stat. Comput. 32, No. 6, Paper No. 108, 18 p. (2022). MSC: 62-08 65F99 15A15 65D10 PDFBibTeX XMLCite \textit{S. Ameli} and \textit{S. C. Shadden}, Stat. Comput. 32, No. 6, Paper No. 108, 18 p. (2022; Zbl 1499.62010) Full Text: DOI arXiv
Vermolen, F. J.; den Bakker, D. R.; Vuik, C. On the fundamental solutions-based inversion of Laplace matrices. (English) Zbl 1497.65238 Results Appl. Math. 15, Article ID 100288, 12 p. (2022). MSC: 65N30 65N80 65N12 65N15 65D32 15A09 35J05 PDFBibTeX XMLCite \textit{F. J. Vermolen} et al., Results Appl. Math. 15, Article ID 100288, 12 p. (2022; Zbl 1497.65238) Full Text: DOI
Chen, Chao; Liang, Tianyu; Biros, George rchol: randomized Cholesky factorization for solving SDD linear systems. (English) Zbl 1480.65003 SIAM J. Sci. Comput. 43, No. 6, C411-C438 (2021). MSC: 65-04 65F08 65F50 15A23 65Y05 PDFBibTeX XMLCite \textit{C. Chen} et al., SIAM J. Sci. Comput. 43, No. 6, C411--C438 (2021; Zbl 1480.65003) Full Text: DOI arXiv
Liu, Yang; Ghysels, Pieter; Claus, Lisa; Li, Xiaoye Sherry Sparse approximate multifrontal factorization with butterfly compression for high-frequency wave equations. (English) Zbl 1512.65075 SIAM J. Sci. Comput. 43, No. 3, S367-S391 (2021). MSC: 65F50 15A23 65M22 PDFBibTeX XMLCite \textit{Y. Liu} et al., SIAM J. Sci. Comput. 43, No. 3, S367--S391 (2021; Zbl 1512.65075) Full Text: DOI arXiv
Chen, Chao; Cambier, Leopold; Boman, Erik G.; Rajamanickam, Sivasankaran; Tuminaro, Raymond S.; Darve, Eric A robust hierarchical solver for ill-conditioned systems with applications to ice sheet modeling. (English) Zbl 1452.65079 J. Comput. Phys. 396, 819-836 (2019). MSC: 65F50 65Y20 65Y05 86A40 15A23 PDFBibTeX XMLCite \textit{C. Chen} et al., J. Comput. Phys. 396, 819--836 (2019; Zbl 1452.65079) Full Text: DOI arXiv
Hossain, M. Sumon; Uddin, M. Monir Iterative methods for solving large sparse Lyapunov equations and application to model reduction of index 1 differential-algebraic-equations. (English) Zbl 1435.65070 Numer. Algebra Control Optim. 9, No. 2, 173-186 (2019). MSC: 65F99 15A24 93B11 93C70 PDFBibTeX XMLCite \textit{M. S. Hossain} and \textit{M. M. Uddin}, Numer. Algebra Control Optim. 9, No. 2, 173--186 (2019; Zbl 1435.65070) Full Text: DOI
Ramani, Arjun S.; Eikmeier, Nicole; Gleich, David F. Coin-flipping, Ball-dropping, and Grass-hopping for generating random graphs from matrices of edge probabilities. (English) Zbl 1419.05194 SIAM Rev. 61, No. 3, 549-595 (2019). MSC: 05C80 15A24 05A15 PDFBibTeX XMLCite \textit{A. S. Ramani} et al., SIAM Rev. 61, No. 3, 549--595 (2019; Zbl 1419.05194) Full Text: DOI arXiv
Lourenco, Christopher; Escobedo, Adolfo R.; Moreno-Centeno, Erick; Davis, Timothy A. Exact solution of sparse linear systems via left-looking roundoff-error-free Lu factorization in time proportional to arithmetic work. (English) Zbl 1431.65060 SIAM J. Matrix Anal. Appl. 40, No. 2, 609-638 (2019). MSC: 65F50 15A23 65F05 65G50 90C05 PDFBibTeX XMLCite \textit{C. Lourenco} et al., SIAM J. Matrix Anal. Appl. 40, No. 2, 609--638 (2019; Zbl 1431.65060) Full Text: DOI
Eberly, Wayne Automating algorithm selection: checking for matrix properties that can simplify computations. (English) Zbl 1423.68616 J. Symb. Comput. 94, 1-29 (2019). MSC: 68W30 15A15 15B33 PDFBibTeX XMLCite \textit{W. Eberly}, J. Symb. Comput. 94, 1--29 (2019; Zbl 1423.68616) Full Text: DOI
Abderramán Marrero, J. A reliable Givens-LU approach for solving opposite-bordered tridiagonal linear systems. (English) Zbl 1442.65029 Comput. Math. Appl. 76, No. 10, 2409-2420 (2018). MSC: 65F05 15A06 PDFBibTeX XMLCite \textit{J. Abderramán Marrero}, Comput. Math. Appl. 76, No. 10, 2409--2420 (2018; Zbl 1442.65029) Full Text: DOI
Eid, Ahmad Hosny An extended implementation framework for geometric algebra operations on systems of coordinate frames of arbitrary signature. (English) Zbl 1390.68776 Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 16, 32 p. (2018). MSC: 68W30 15A66 PDFBibTeX XMLCite \textit{A. H. Eid}, Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 16, 32 p. (2018; Zbl 1390.68776) 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
Lungten, Sangye; Schilders, Wil H. A.; Maubach, Joseph M. L. Threshold incomplete factorization constraint preconditioners for saddle-point matrices. (English) Zbl 1390.15045 Linear Algebra Appl. 545, 76-107 (2018). MSC: 15A23 65F05 65F50 PDFBibTeX XMLCite \textit{S. Lungten} et al., Linear Algebra Appl. 545, 76--107 (2018; Zbl 1390.15045) Full Text: DOI
Harrison, A. P.; Joseph, D. High performance rearrangement and multiplication routines for sparse tensor arithmetic. (English) Zbl 1391.65120 SIAM J. Sci. Comput. 40, No. 2, C258-C281 (2018). MSC: 65F50 15A69 65Y04 65Y20 68P05 68P10 PDFBibTeX XMLCite \textit{A. P. Harrison} and \textit{D. Joseph}, SIAM J. Sci. Comput. 40, No. 2, C258--C281 (2018; Zbl 1391.65120) Full Text: DOI arXiv
Abo, Hirotachi; Vannieuwenhoven, Nick Most secant varieties of tangential varieties to Veronese varieties are nondefective. (English) Zbl 1387.14136 Trans. Am. Math. Soc. 370, No. 1, 393-420 (2018). Reviewer: Alessandro Gimigliano (Bologna) MSC: 14N05 14Q15 14Q20 15A69 15A72 PDFBibTeX XMLCite \textit{H. Abo} and \textit{N. Vannieuwenhoven}, Trans. Am. Math. Soc. 370, No. 1, 393--420 (2018; Zbl 1387.14136) Full Text: DOI arXiv
Boutsidis, Christos; Drineas, Petros; Kambadur, Prabhanjan; Kontopoulou, Eugenia-Maria; Zouzias, Anastasios A randomized algorithm for approximating the log determinant of a symmetric positive definite matrix. (English) Zbl 1422.65071 Linear Algebra Appl. 533, 95-117 (2017). MSC: 65F40 15A15 68W20 68W25 PDFBibTeX XMLCite \textit{C. Boutsidis} et al., Linear Algebra Appl. 533, 95--117 (2017; Zbl 1422.65071) Full Text: DOI arXiv
Schaub, Michael T.; Trefois, Maguy; van Dooren, Paul; Delvenne, Jean-Charles Sparse matrix factorizations for fast linear solvers with application to Laplacian systems. (English) Zbl 1367.65041 SIAM J. Matrix Anal. Appl. 38, No. 2, 505-529 (2017). MSC: 65F05 65F50 65F10 15A23 05C50 PDFBibTeX XMLCite \textit{M. T. Schaub} et al., SIAM J. Matrix Anal. Appl. 38, No. 2, 505--529 (2017; Zbl 1367.65041) Full Text: DOI arXiv
Taylor, Dane; Myers, Sean A.; Clauset, Aaron; Porter, Mason A.; Mucha, Peter J. Eigenvector-based centrality measures for temporal networks. (English) Zbl 1386.91116 Multiscale Model. Simul. 15, No. 1, 537-574 (2017). MSC: 91D30 05C81 05C82 15A18 PDFBibTeX XMLCite \textit{D. Taylor} et al., Multiscale Model. Simul. 15, No. 1, 537--574 (2017; Zbl 1386.91116) Full Text: DOI arXiv
Duff, I. S.; Erisman, A. M.; Reid, J. K. Direct methods for sparse matrices. 2nd edition. (English) Zbl 1364.65067 Numerical Mathematics and Scientific Computation. Oxford: Oxford University Press (ISBN 978-0-19-850838-0/hbk). xx, 429 p. (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F05 65-02 65F50 65F30 15-04 05C50 PDFBibTeX XMLCite \textit{I. S. Duff} et al., Direct methods for sparse matrices. 2nd edition. Oxford: Oxford University Press (2017; Zbl 1364.65067) Full Text: DOI
Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef Schur complement-based domain decomposition preconditioners with low-rank corrections. (English) Zbl 1399.65238 Numer. Linear Algebra Appl. 23, No. 4, 706-729 (2016). Reviewer: Miroslav Tůma (Praha) MSC: 65M55 65F08 65F10 65F50 35J05 15A18 PDFBibTeX XMLCite \textit{R. Li} et al., Numer. Linear Algebra Appl. 23, No. 4, 706--729 (2016; Zbl 1399.65238) Full Text: DOI arXiv
Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef Efficient estimation of eigenvalue counts in an interval. (English) Zbl 1413.65092 Numer. Linear Algebra Appl. 23, No. 4, 674-692 (2016). MSC: 65F15 15B57 65F50 PDFBibTeX XMLCite \textit{E. Di Napoli} et al., Numer. Linear Algebra Appl. 23, No. 4, 674--692 (2016; Zbl 1413.65092) Full Text: DOI arXiv
Bello Cruz, J. Y.; Ferreira, O. P.; Prudente, L. F. On the global convergence of the inexact semi-smooth Newton method for absolute value equation. (English) Zbl 1353.90155 Comput. Optim. Appl. 65, No. 1, 93-108 (2016). MSC: 90C33 15B48 PDFBibTeX XMLCite \textit{J. Y. Bello Cruz} et al., Comput. Optim. Appl. 65, No. 1, 93--108 (2016; Zbl 1353.90155) Full Text: DOI arXiv
Martinsson, Per-Gunnar Compressing rank-structured matrices via randomized sampling. (English) Zbl 1342.65211 SIAM J. Sci. Comput. 38, No. 4, A1959-A1986 (2016). MSC: 65N22 65N38 15A23 15B52 PDFBibTeX XMLCite \textit{P.-G. Martinsson}, SIAM J. Sci. Comput. 38, No. 4, A1959--A1986 (2016; Zbl 1342.65211) Full Text: DOI arXiv
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
Gu, Xian-Ming; Huang, Ting-Zhu; Carpentieri, Bruno; Li, Liang; Wen, Chun A hybridized iterative algorithm of the BiCORSTAB and GPBiCOR methods for solving non-Hermitian linear systems. (English) Zbl 1443.65042 Comput. Math. Appl. 70, No. 12, 3019-3031 (2015). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., Comput. Math. Appl. 70, No. 12, 3019--3031 (2015; Zbl 1443.65042) Full Text: DOI
Jia, Jiteng; Jiang, Yaolin Two symbolic algorithms for solving general periodic pentadiagonal linear systems. (English) Zbl 1443.65033 Comput. Math. Appl. 69, No. 9, 1020-1029 (2015). MSC: 65F05 15A06 68W30 PDFBibTeX XMLCite \textit{J. Jia} and \textit{Y. Jiang}, Comput. Math. Appl. 69, No. 9, 1020--1029 (2015; Zbl 1443.65033) Full Text: DOI
Kressner, Daniel; Sirković, Petar Truncated low-rank methods for solving general linear matrix equations. (English) Zbl 1363.65075 Numer. Linear Algebra Appl. 22, No. 3, 564-583 (2015). MSC: 65F30 15A24 65F08 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{P. Sirković}, Numer. Linear Algebra Appl. 22, No. 3, 564--583 (2015; Zbl 1363.65075) Full Text: DOI
Sun, Yifan; Vandenberghe, Lieven Decomposition methods for sparse matrix nearness problems. (English) Zbl 1342.90128 SIAM J. Matrix Anal. Appl. 36, No. 4, 1691-1717 (2015). MSC: 90C22 65F50 15A83 90C25 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{L. Vandenberghe}, SIAM J. Matrix Anal. Appl. 36, No. 4, 1691--1717 (2015; Zbl 1342.90128) Full Text: DOI
Kong, Qiong-Xiang; Jia, Ji-Teng A structure-preserving algorithm for linear systems with circulant pentadiagonal coefficient matrices. (English) Zbl 1331.15008 J. Math. Chem. 53, No. 7, 1617-1633 (2015). MSC: 15A15 15B05 65F30 65F50 PDFBibTeX XMLCite \textit{Q.-X. Kong} and \textit{J.-T. Jia}, J. Math. Chem. 53, No. 7, 1617--1633 (2015; Zbl 1331.15008) Full Text: DOI
Batselier, Kim; Dreesen, Philippe; De Moor, Bart A fast recursive orthogonalization scheme for the Macaulay matrix. (English) Zbl 1293.65064 J. Comput. Appl. Math. 267, 20-32 (2014). MSC: 65F25 65F50 15A18 PDFBibTeX XMLCite \textit{K. Batselier} et al., J. Comput. Appl. Math. 267, 20--32 (2014; Zbl 1293.65064) Full Text: DOI
Jiang, Yao-Lin; Jia, Ji-Teng On the determinant evaluation of quasi penta-diagonal matrices and quasi penta-diagonal Toeplitz matrices. (English) Zbl 1286.65057 J. Math. Chem. 51, No. 9, 2503-2513 (2013). MSC: 65F40 65Y20 15B05 PDFBibTeX XMLCite \textit{Y.-L. Jiang} and \textit{J.-T. Jia}, J. Math. Chem. 51, No. 9, 2503--2513 (2013; Zbl 1286.65057) Full Text: DOI
Benner, Peter; Kürschner, Patrick; Saak, Jens Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method. (English) Zbl 1267.65047 Numer. Algorithms 62, No. 2, 225-251 (2013). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F30 65F10 15A24 65F50 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algorithms 62, No. 2, 225--251 (2013; Zbl 1267.65047) Full Text: DOI
Sogabe, Tomohiro; Hoshi, Takeo; Zhang, Shao-Liang; Fujiwara, Takeo Solution of generalized shifted linear systems with complex symmetric matrices. (English) Zbl 1277.65021 J. Comput. Phys. 231, No. 17, 5669-5684 (2012). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{T. Sogabe} et al., J. Comput. Phys. 231, No. 17, 5669--5684 (2012; Zbl 1277.65021) Full Text: DOI
Khorramizadeh, Mostafa An application of the Dulmage-Mendelsohn decomposition to sparse null space bases of full row rank matrices. (English) Zbl 1258.65042 Int. Math. Forum 7, No. 49-52, 2549-2554 (2012). MSC: 65F30 15A03 PDFBibTeX XMLCite \textit{M. Khorramizadeh}, Int. Math. Forum 7, No. 49--52, 2549--2554 (2012; Zbl 1258.65042) Full Text: Link