Pütz, Michele; Oevermann, Michael Performance and accuracy of the basic closure algorithm of quadrature-based moment methods. (English) Zbl 07766228 J. Comput. Phys. 494, Article ID 112514, 19 p. (2023). MSC: 65Fxx 82Cxx 15Axx PDFBibTeX XMLCite \textit{M. Pütz} and \textit{M. Oevermann}, J. Comput. Phys. 494, Article ID 112514, 19 p. (2023; Zbl 07766228) Full Text: DOI
Schwartz, Oded; Vaknin, Noa Pebbling game and alternative basis for high performance matrix multiplication. (English) Zbl 1527.15001 SIAM J. Sci. Comput. 45, No. 6, C277-C303 (2023). MSC: 15-04 65F99 65K05 PDFBibTeX XMLCite \textit{O. Schwartz} and \textit{N. Vaknin}, SIAM J. Sci. Comput. 45, No. 6, C277--C303 (2023; Zbl 1527.15001) Full Text: DOI
Baglama, James; Perović, Vasilije; Toolan, Timothy Note on a rank-one modification of the singular value decomposition. (English) Zbl 07736201 Appl. Math. Comput. 457, Article ID 128170, 15 p. (2023). MSC: 65Fxx 15Axx 15-XX PDFBibTeX XMLCite \textit{J. Baglama} et al., Appl. Math. Comput. 457, Article ID 128170, 15 p. (2023; Zbl 07736201) Full Text: DOI
Delgado, Jorge; Koev, Plamen; Marco, Ana; Martínez, José-Javier; Peña, Juan Manuel; Persson, Per-Olof; Spasov, Steven Bidiagonal decompositions of Vandermonde-type matrices of arbitrary rank. (English) Zbl 1512.65060 J. Comput. Appl. Math. 426, Article ID 115064, 15 p. (2023). MSC: 65F15 15A23 15B48 15B35 PDFBibTeX XMLCite \textit{J. Delgado} et al., J. Comput. Appl. Math. 426, Article ID 115064, 15 p. (2023; Zbl 1512.65060) Full Text: DOI arXiv
Hu, Shenglong; Ye, Ke Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations. (English) Zbl 1518.65045 Math. Program. 199, No. 1-2 (A), 1305-1364 (2023). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{S. Hu} and \textit{K. Ye}, Math. Program. 199, No. 1--2 (A), 1305--1364 (2023; Zbl 1518.65045) Full Text: DOI arXiv
Liang, Xin; Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang On generalizing trace minimization principles. (English) Zbl 1501.15005 Linear Algebra Appl. 656, 483-509 (2023). MSC: 15A15 15A18 15A22 65F15 90C20 90C26 PDFBibTeX XMLCite \textit{X. Liang} et al., Linear Algebra Appl. 656, 483--509 (2023; Zbl 1501.15005) Full Text: DOI
Sastre, Jorge; Ibáñez, Javier On the backward and forward error of approximations of analytic functions and applications to the computation of matrix functions. (English) Zbl 1502.65022 J. Comput. Appl. Math. 419, Article ID 114706, 18 p. (2023). MSC: 65F60 65D15 15A16 26C15 41-04 41A10 PDFBibTeX XMLCite \textit{J. Sastre} and \textit{J. Ibáñez}, J. Comput. Appl. Math. 419, Article ID 114706, 18 p. (2023; Zbl 1502.65022) Full Text: DOI
Klockiewicz, Bazyli; Cambier, Léopold; Humble, Ryan; Tchelepi, Hamdi; Darve, Eric Second-order accurate hierarchical approximate factorizations for solving sparse linear systems. (English) Zbl 07769285 Int. J. Numer. Methods Eng. 123, No. 22, 5473-5499 (2022). MSC: 65Fxx 35Jxx 15Axx PDFBibTeX XMLCite \textit{B. Klockiewicz} et al., Int. J. Numer. Methods Eng. 123, No. 22, 5473--5499 (2022; Zbl 07769285) Full Text: DOI
Steel, Thijs; Vandebril, Raf A novel, blocked algorithm for the reduction to Hessenberg-triangular form. (English) Zbl 1510.65071 Electron. J. Linear Algebra 38, 712-728 (2022). MSC: 65F15 15A18 65Y10 PDFBibTeX XMLCite \textit{T. Steel} and \textit{R. Vandebril}, Electron. J. Linear Algebra 38, 712--728 (2022; Zbl 1510.65071) Full Text: Link
Dessole, Monica; Marcuzzi, Fabio Deviation maximization for rank-revealing QR factorizations. (English) Zbl 1503.65073 Numer. Algorithms 91, No. 3, 1047-1079 (2022). MSC: 65F15 15A23 PDFBibTeX XMLCite \textit{M. Dessole} and \textit{F. Marcuzzi}, Numer. Algorithms 91, No. 3, 1047--1079 (2022; Zbl 1503.65073) Full Text: DOI arXiv
Ou, Xiaofeng; Xia, Jianlin SuperDC: superfast divide-and-conquer eigenvalue decomposition with improved stability for rank-structured matrices. (English) Zbl 1501.65019 SIAM J. Sci. Comput. 44, No. 5, A3041-A3066 (2022). MSC: 65F15 65F55 15A18 15A23 PDFBibTeX XMLCite \textit{X. Ou} and \textit{J. Xia}, SIAM J. Sci. Comput. 44, No. 5, A3041--A3066 (2022; Zbl 1501.65019) Full Text: DOI
Dopico, Froilán M.; Quintana, María C.; van Dooren, Paul Diagonal scalings for the eigenstructure of arbitrary pencils. (English) Zbl 1498.15018 SIAM J. Matrix Anal. Appl. 43, No. 3, 1213-1237 (2022). Reviewer: Ctirad Matonoha (Praha) MSC: 15A22 15A18 65F15 65F35 65F22 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., SIAM J. Matrix Anal. Appl. 43, No. 3, 1213--1237 (2022; Zbl 1498.15018) Full Text: DOI arXiv
Shi, Jia; Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef; de Hoop, Maarten V. A non-perturbative approach to computing seismic normal modes in rotating planets. (English) Zbl 1489.85001 J. Sci. Comput. 91, No. 2, Paper No. 67, 52 p. (2022). MSC: 85-08 86-08 85-10 85A20 86A15 76U60 76M10 15A18 65N25 65N30 PDFBibTeX XMLCite \textit{J. Shi} et al., J. Sci. Comput. 91, No. 2, Paper No. 67, 52 p. (2022; Zbl 1489.85001) Full Text: DOI arXiv
Barlow, Jesse L.; Eisenstat, Stanley C.; Stor, Nevena Jakovčević; Slapnicar, Ivan Deflation for the symmetric arrowhead and diagonal-plus-rank-one eigenvalue problems. (English) Zbl 1492.65085 SIAM J. Matrix Anal. Appl. 43, No. 2, 681-709 (2022). MSC: 65F15 65G50 15-04 15B99 PDFBibTeX XMLCite \textit{J. L. Barlow} et al., SIAM J. Matrix Anal. Appl. 43, No. 2, 681--709 (2022; Zbl 1492.65085) Full Text: DOI
Novaković, Vedran; Singer, Sanja A Kogbetliantz-type algorithm for the hyperbolic SVD. (English) Zbl 1492.65091 Numer. Algorithms 90, No. 2, 523-561 (2022). MSC: 65F15 65Y05 15A18 PDFBibTeX XMLCite \textit{V. Novaković} and \textit{S. Singer}, Numer. Algorithms 90, No. 2, 523--561 (2022; Zbl 1492.65091) Full Text: DOI arXiv
Inghelbrecht, Gilles; Barbé, Kurt Parallelization of Hermitian positive definite systems of equations: a hierarchical Jacobi approach. (English) Zbl 1482.65043 Linear Algebra Appl. 639, 81-115 (2022). MSC: 65F08 65F10 15B48 65Y05 PDFBibTeX XMLCite \textit{G. Inghelbrecht} and \textit{K. Barbé}, Linear Algebra Appl. 639, 81--115 (2022; Zbl 1482.65043) Full Text: DOI
Petkov, Petko H.; Konstantinov, Mihail M. The numerical Jordan form. (English) Zbl 1482.65059 Linear Algebra Appl. 638, 1-45 (2022). MSC: 65F15 65F22 15A20 15A21 47A55 PDFBibTeX XMLCite \textit{P. H. Petkov} and \textit{M. M. Konstantinov}, Linear Algebra Appl. 638, 1--45 (2022; Zbl 1482.65059) Full Text: DOI
Rueda-Ramírez, Andrés M.; Ferrer, Esteban; Kopriva, David A.; Rubio, Gonzalo; Valero, Eusebio A statically condensed discontinuous Galerkin spectral element method on Gauss-Lobatto nodes for the compressible Navier-Stokes equations. (English) Zbl 07510067 J. Comput. Phys. 426, Article ID 109953, 28 p. (2021). MSC: 65-XX 15-XX PDFBibTeX XMLCite \textit{A. M. Rueda-Ramírez} et al., J. Comput. Phys. 426, Article ID 109953, 28 p. (2021; Zbl 07510067) Full Text: DOI arXiv
Solomonik, Edgar; Demmel, James Fast bilinear algorithms for symmetric tensor contractions. (English) Zbl 1473.65360 Comput. Methods Appl. Math. 21, No. 1, 211-231 (2021). MSC: 65Y04 65Y20 68Q25 15B57 PDFBibTeX XMLCite \textit{E. Solomonik} and \textit{J. Demmel}, Comput. Methods Appl. Math. 21, No. 1, 211--231 (2021; Zbl 1473.65360) Full Text: DOI
Wang, Shaoxin An efficient numerical method for condition number constrained covariance matrix approximation. (English) Zbl 1508.65038 Appl. Math. Comput. 397, Article ID 125925, 15 p. (2021). MSC: 65F35 15A12 15A60 PDFBibTeX XMLCite \textit{S. Wang}, Appl. Math. Comput. 397, Article ID 125925, 15 p. (2021; Zbl 1508.65038) Full Text: DOI arXiv
Petkov, Petko H. Componentwise perturbation analysis of the Schur decomposition of a matrix. (English) Zbl 1459.65051 SIAM J. Matrix Anal. Appl. 42, No. 1, 108-133 (2021). MSC: 65F15 47A55 47H14 15A23 PDFBibTeX XMLCite \textit{P. H. Petkov}, SIAM J. Matrix Anal. Appl. 42, No. 1, 108--133 (2021; Zbl 1459.65051) Full Text: DOI
Drmač, Zlatko; Glibić, Ivana Šain New numerical algorithm for deflation of infinite and zero eigenvalues and full solution of quadratic eigenvalue problems. (English) Zbl 1486.65051 ACM Trans. Math. Softw. 46, No. 4, Article No. 30, 32 p. (2020). MSC: 65H17 65F15 15A22 PDFBibTeX XMLCite \textit{Z. Drmač} and \textit{I. Š. Glibić}, ACM Trans. Math. Softw. 46, No. 4, Article No. 30, 32 p. (2020; Zbl 1486.65051) Full Text: DOI arXiv
Keyes, D. E.; Ltaief, H.; Turkiyyah, G. Hierarchical algorithms on hierarchical architectures. (English) Zbl 1462.65048 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2166, Article ID 20190055, 16 p. (2020). MSC: 65F99 15A23 PDFBibTeX XMLCite \textit{D. E. Keyes} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2166, Article ID 20190055, 16 p. (2020; Zbl 1462.65048) Full Text: DOI
Kalantzis, Vassilis A domain decomposition Rayleigh-Ritz algorithm for symmetric generalized eigenvalue problems. (English) Zbl 1467.65031 SIAM J. Sci. Comput. 42, No. 6, C410-C435 (2020). MSC: 65F15 15A18 65F50 PDFBibTeX XMLCite \textit{V. Kalantzis}, SIAM J. Sci. Comput. 42, No. 6, C410--C435 (2020; Zbl 1467.65031) Full Text: DOI
Edelman, Alan; Wang, Yuyang The GSVD: where are the ellipses?, matrix trigonometry, and more. (English) Zbl 1461.65046 SIAM J. Matrix Anal. Appl. 41, No. 4, 1826-1856 (2020). MSC: 65F15 15A23 15A18 PDFBibTeX XMLCite \textit{A. Edelman} and \textit{Y. Wang}, SIAM J. Matrix Anal. Appl. 41, No. 4, 1826--1856 (2020; Zbl 1461.65046) Full Text: DOI arXiv
Chang, Xiao-Wen; Titley-Peloquin, David An improved algorithm for generalized least squares estimation. (English) Zbl 1456.62139 Numer. Algebra Control Optim. 10, No. 4, 451-461 (2020). MSC: 62J05 65F20 15A23 93E24 PDFBibTeX XMLCite \textit{X.-W. Chang} and \textit{D. Titley-Peloquin}, Numer. Algebra Control Optim. 10, No. 4, 451--461 (2020; Zbl 1456.62139) Full Text: DOI
Yuan, Xinru; Huang, Wen; Absil, P.-A.; Gallivan, Kyle A. Computing the matrix geometric mean: Riemannian versus Euclidean conditioning, implementation techniques, and a Riemannian BFGS method. (English) Zbl 1474.65131 Numer. Linear Algebra Appl. 27, No. 5, e2321, 23 p. (2020). MSC: 65F99 15B48 PDFBibTeX XMLCite \textit{X. Yuan} et al., Numer. Linear Algebra Appl. 27, No. 5, e2321, 23 p. (2020; Zbl 1474.65131) Full Text: DOI
Drmač, Zlatko; Mezić, Igor; Mohr, Ryan On least squares problems with certain Vandermonde-Khatri-Rao structure with applications to DMD. (English) Zbl 1452.65086 SIAM J. Sci. Comput. 42, No. 5, A3250-A3284 (2020). MSC: 65F99 15A23 65F20 65F35 65P99 PDFBibTeX XMLCite \textit{Z. Drmač} et al., SIAM J. Sci. Comput. 42, No. 5, A3250--A3284 (2020; Zbl 1452.65086) Full Text: DOI arXiv
Tsachouridis, Vassilios A.; Giantamidis, Georgios; Basagiannis, Stylianos; Kouramas, Kostas Formal analysis of the Schulz matrix inversion algorithm: a paradigm towards computer aided verification of general matrix flow solvers. (English) Zbl 1458.65035 Numer. Algebra Control Optim. 10, No. 2, 177-206 (2020). MSC: 65F10 15A09 68Q60 PDFBibTeX XMLCite \textit{V. A. Tsachouridis} et al., Numer. Algebra Control Optim. 10, No. 2, 177--206 (2020; Zbl 1458.65035) Full Text: DOI
Mastronardi, Nicola; Taeter, Harold; van Dooren, Paul On computing eigenvectors of symmetric tridiagonal matrices. (English) Zbl 07215840 Bini, Dario Andrea (ed.) et al., Structured matrices in numerical linear algebra. Analysis, algorithms and applications. Selected papers of the INdAM meeting on structured matrices in numerical linear algebra: analysis, algorithms and applications, Cortona, Italy, September 4–8, 2017. Cham: Springer. Springer INdAM Ser. 30, 181-195 (2019). MSC: 65Yxx 15-XX 68-XX 65-XX 65Fxx PDFBibTeX XMLCite \textit{N. Mastronardi} et al., Springer INdAM Ser. 30, 181--195 (2019; Zbl 07215840) Full Text: DOI
Feng, Yuehua; Xiao, Jianwei; Gu, Ming Flip-flop spectrum-revealing QR factorization and its applications to singular value decomposition. (English) Zbl 1433.65083 ETNA, Electron. Trans. Numer. Anal. 51, 469-494 (2019). MSC: 65F55 15A18 15A23 PDFBibTeX XMLCite \textit{Y. Feng} et al., ETNA, Electron. Trans. Numer. Anal. 51, 469--494 (2019; Zbl 1433.65083) Full Text: DOI arXiv Link
Mohanty, Sraban Kumar; Sajith, G. An input/output efficient algorithm for Hessenberg reduction. (English) Zbl 1480.65110 Int. J. Found. Comput. Sci. 30, No. 8, 1279-1300 (2019). MSC: 65F99 68W40 15A23 PDFBibTeX XMLCite \textit{S. K. Mohanty} and \textit{G. Sajith}, Int. J. Found. Comput. Sci. 30, No. 8, 1279--1300 (2019; Zbl 1480.65110) Full Text: DOI
Del Corso, Gianna M.; Poloni, Federico; Robol, Leonardo; Vandebril, Raf When is a matrix unitary or Hermitian plus low rank? (English) Zbl 1463.15075 Numer. Linear Algebra Appl. 26, No. 6, e2266, 19 p. (2019). MSC: 15B57 15A21 65F55 PDFBibTeX XMLCite \textit{G. M. Del Corso} et al., Numer. Linear Algebra Appl. 26, No. 6, e2266, 19 p. (2019; Zbl 1463.15075) Full Text: DOI arXiv Link
Jeannerod, Claude-Pierre; Mary, Theo; Pernet, Clément; Roche, Daniel S. Improving the complexity of block low-rank factorizations with fast matrix arithmetic. (English) Zbl 07141460 SIAM J. Matrix Anal. Appl. 40, No. 4, 1478-1496 (2019). MSC: 65-XX 68-XX 15A23 65F05 PDFBibTeX XMLCite \textit{C.-P. Jeannerod} et al., SIAM J. Matrix Anal. Appl. 40, No. 4, 1478--1496 (2019; Zbl 07141460) Full Text: DOI
Sastre, J.; Ibáñez, J.; Defez, E. Boosting the computation of the matrix exponential. (English) Zbl 1429.65093 Appl. Math. Comput. 340, 206-220 (2019). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{J. Sastre} et al., Appl. Math. Comput. 340, 206--220 (2019; Zbl 1429.65093) Full Text: DOI
Yin, Guojian A contour-integral based method with Schur-Rayleigh-Ritz procedure for generalized eigenvalue problems. (English) Zbl 1444.65012 J. Sci. Comput. 81, No. 1, 252-270 (2019). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 65F22 15A18 58C40 PDFBibTeX XMLCite \textit{G. Yin}, J. Sci. Comput. 81, No. 1, 252--270 (2019; Zbl 1444.65012) Full Text: DOI
Ogita, Takeshi; Aishima, Kensuke Iterative refinement for symmetric eigenvalue decomposition. II. Clustered eigenvalues. (English) Zbl 1418.65049 Japan J. Ind. Appl. Math. 36, No. 2, 435-459 (2019). MSC: 65F15 15A18 15A23 PDFBibTeX XMLCite \textit{T. Ogita} and \textit{K. Aishima}, Japan J. Ind. Appl. Math. 36, No. 2, 435--459 (2019; Zbl 1418.65049) Full Text: DOI
Shishkin, Serge L.; Shalaginov, Arkadi; Bopardikar, Shaunak D. Fast approximate truncated SVD. (English) Zbl 1449.65082 Numer. Linear Algebra Appl. 26, No. 4, e2246, 18 p. (2019). Reviewer: Nela Bosner (Zagreb) MSC: 65F15 15A23 15A18 PDFBibTeX XMLCite \textit{S. L. Shishkin} et al., Numer. Linear Algebra Appl. 26, No. 4, e2246, 18 p. (2019; Zbl 1449.65082) Full Text: DOI
Avron, Haim; Druinsky, Alex; Toledo, Sivan Spectral condition-number estimation of large sparse matrices. (English) Zbl 1449.65097 Numer. Linear Algebra Appl. 26, No. 3, e2235, 19 p. (2019). MSC: 65F50 65F10 15A12 65F35 PDFBibTeX XMLCite \textit{H. Avron} et al., Numer. Linear Algebra Appl. 26, No. 3, e2235, 19 p. (2019; Zbl 1449.65097) Full Text: DOI arXiv
Amestoy, Patrick R.; Buttari, Alfredo; L’Excellent, Jean-Yves; Mary, Theo A. Bridging the gap between flat and hierarchical low-rank matrix formats: the multilevel block low-rank format. (English) Zbl 1434.65051 SIAM J. Sci. Comput. 41, No. 3, A1414-A1442 (2019). MSC: 65F55 65F50 65Y20 15A23 PDFBibTeX XMLCite \textit{P. R. Amestoy} et al., SIAM J. Sci. Comput. 41, No. 3, A1414--A1442 (2019; Zbl 1434.65051) Full Text: DOI
Koev, Plamen Accurate eigenvalues and exact zero Jordan blocks of totally nonnegative matrices. (English) Zbl 1434.65035 Numer. Math. 141, No. 3, 693-713 (2019). Reviewer: Georg Hebermehl (Berlin) MSC: 65F15 65F22 65F35 65Y04 15A18 15A20 PDFBibTeX XMLCite \textit{P. Koev}, Numer. Math. 141, No. 3, 693--713 (2019; Zbl 1434.65035) Full Text: DOI
Feng, Yuehua; Lu, Linzhang On the growth factor upper bound for Aasen’s algorithm. (English) Zbl 1416.65113 Appl. Math. Lett. 88, 118-124 (2019). MSC: 65F30 15A23 65F35 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{L. Lu}, Appl. Math. Lett. 88, 118--124 (2019; Zbl 1416.65113) Full Text: DOI arXiv
Humeniuk, Alexander; Mitrić, Roland A block Jacobi method for complex skew-symmetric matrices with applications in the time-dependent variational principle. (English) Zbl 1498.15016 Comput. Phys. Commun. 231, 187-197 (2018). MSC: 15A21 15B57 PDFBibTeX XMLCite \textit{A. Humeniuk} and \textit{R. Mitrić}, Comput. Phys. Commun. 231, 187--197 (2018; Zbl 1498.15016) Full Text: DOI
Cosme, Iria C. S.; Fernandes, Isaac F.; de Carvalho, João L.; Xavier-de-Souza, Samuel Memory-usage advantageous block recursive matrix inverse. (English) Zbl 1427.65034 Appl. Math. Comput. 328, 125-136 (2018). MSC: 65F05 15A09 PDFBibTeX XMLCite \textit{I. C. S. Cosme} et al., Appl. Math. Comput. 328, 125--136 (2018; Zbl 1427.65034) Full Text: DOI arXiv
Ogita, Takeshi; Aishima, Kensuke Iterative refinement for symmetric eigenvalue decomposition. (English) Zbl 1403.65018 Japan J. Ind. Appl. Math. 35, No. 3, 1007-1035 (2018). MSC: 65F15 15A18 15A23 PDFBibTeX XMLCite \textit{T. Ogita} and \textit{K. Aishima}, Japan J. Ind. Appl. Math. 35, No. 3, 1007--1035 (2018; Zbl 1403.65018) Full Text: DOI
Feng, Yuehua; Xiao, Jianwei; Gu, Ming Randomized complete pivoting for solving symmetric indefinite linear systems. (English) Zbl 1404.65013 SIAM J. Matrix Anal. Appl. 39, No. 4, 1616-1641 (2018). MSC: 65F05 15A06 15A23 PDFBibTeX XMLCite \textit{Y. Feng} et al., SIAM J. Matrix Anal. Appl. 39, No. 4, 1616--1641 (2018; Zbl 1404.65013) Full Text: DOI arXiv
Huang, Tsung-Ming; Li, Ren-Cang; Lin, Wen-Wei Structure-preserving doubling algorithms for nonlinear matrix equations. (English) Zbl 1435.65006 Fundamentals of Algorithms 14. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-535-2/pbk; 978-1-61197-536-9/ebook). xii, 144 p. (2018). Reviewer: Adhemar Bultheel (Leuven) MSC: 65-02 65F45 65F15 15A24 PDFBibTeX XMLCite \textit{T.-M. Huang} et al., Structure-preserving doubling algorithms for nonlinear matrix equations. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2018; Zbl 1435.65006) Full Text: DOI
Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro The singular value decomposition: anatomy of optimizing an algorithm for extreme scale. (English) Zbl 1410.65114 SIAM Rev. 60, No. 4, 808-865 (2018). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 65Y15 15A18 15A23 65Y05 PDFBibTeX XMLCite \textit{J. Dongarra} et al., SIAM Rev. 60, No. 4, 808--865 (2018; Zbl 1410.65114) Full Text: DOI
Strang, Gilbert Multiplying and factoring matrices. (English) Zbl 1393.15017 Am. Math. Mon. 125, No. 3, 223-230 (2018). MSC: 15A23 15A21 PDFBibTeX XMLCite \textit{G. Strang}, Am. Math. Mon. 125, No. 3, 223--230 (2018; Zbl 1393.15017) Full Text: DOI Link
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
Sastre, J. Efficient evaluation of matrix polynomials. (English) Zbl 1432.65029 Linear Algebra Appl. 539, 229-250 (2018). MSC: 65D99 15A99 65Y05 PDFBibTeX XMLCite \textit{J. Sastre}, Linear Algebra Appl. 539, 229--250 (2018; Zbl 1432.65029) Full Text: DOI Link
Wang, Xuezhong; Che, Maolin; Wei, Yimin Partial orthogonal rank-one decomposition of complex symmetric tensors based on the Takagi factorization. (English) Zbl 1377.65052 J. Comput. Appl. Math. 332, 56-71 (2018). MSC: 65F25 15A69 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Comput. Appl. Math. 332, 56--71 (2018; Zbl 1377.65052) Full Text: DOI
Bylina, Beata The block WZ factorization. (English) Zbl 1377.65036 J. Comput. Appl. Math. 331, 119-132 (2018). MSC: 65F05 15A23 PDFBibTeX XMLCite \textit{B. Bylina}, J. Comput. Appl. Math. 331, 119--132 (2018; Zbl 1377.65036) Full Text: DOI
Noble, J. H.; Lubasch, M.; Stevens, J.; Jentschura, U. D. Diagonalization of complex symmetric matrices: generalized Householder reflections, iterative deflation and implicit shifts. (English) Zbl 1498.15013 Comput. Phys. Commun. 221, 304-316 (2017). MSC: 15A20 65F15 PDFBibTeX XMLCite \textit{J. H. Noble} et al., Comput. Phys. Commun. 221, 304--316 (2017; Zbl 1498.15013) Full Text: DOI
Diao, Huai-An; Yan, Hong; Chu, Eric King-Wah Backward errors and small-sample condition estimation for \(\star\)-Sylvester equations. (English) Zbl 1393.15018 Int. J. Comput. Math. 94, No. 10, 2106-2121 (2017). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 15A09 15A12 65F35 PDFBibTeX XMLCite \textit{H.-A. Diao} et al., Int. J. Comput. Math. 94, No. 10, 2106--2121 (2017; Zbl 1393.15018) Full Text: DOI arXiv
Aurentz, Jared L.; Mach, Thomas; Vandebril, Raf; Watkins, David S. Computing the eigenvalues of symmetric tridiagonal matrices via a Cayley transformation. (English) Zbl 1392.65084 ETNA, Electron. Trans. Numer. Anal. 46, 447-459 (2017). MSC: 65F15 65H17 15A18 15B10 PDFBibTeX XMLCite \textit{J. L. Aurentz} et al., ETNA, Electron. Trans. Numer. Anal. 46, 447--459 (2017; Zbl 1392.65084) Full Text: Link
Gentle, James E. Matrix algebra. Theory, computations and applications in statistics. 2nd edition. (English) Zbl 1386.15002 Springer Texts in Statistics. Cham: Springer (ISBN 978-3-319-64866-8/pbk; 978-3-319-64867-5/ebook). xxix, 648 p. (2017). Reviewer: Frank Uhlig (Auburn) MSC: 15-01 62-01 65-01 PDFBibTeX XMLCite \textit{J. E. Gentle}, Matrix algebra. Theory, computations and applications in statistics. 2nd edition. Cham: Springer (2017; Zbl 1386.15002) Full Text: DOI
Trangenstein, John A. Scientific computing. Vol. I. Linear and nonlinear equations. (English) Zbl 1402.65002 Texts in Computational Science and Engineering 18. Cham: Springer (ISBN 978-3-319-69104-6/hbk; 978-3-319-69105-3/ebook). xxvi, 614 p. (2017). Reviewer: Hans Benker (Merseburg) MSC: 65-01 15-01 65Hxx 65Fxx PDFBibTeX XMLCite \textit{J. A. Trangenstein}, Scientific computing. Vol. I. Linear and nonlinear equations. Cham: Springer (2017; Zbl 1402.65002) Full Text: DOI
Amestoy, Patrick; Buttari, Alfredo; L’Excellent, Jean-Yves; Mary, Theo On the complexity of the block low-rank multifrontal factorization. (English) Zbl 1372.65089 SIAM J. Sci. Comput. 39, No. 4, A1710-A1740 (2017). MSC: 65F05 65N30 15A23 65F50 65Y20 PDFBibTeX XMLCite \textit{P. Amestoy} et al., SIAM J. Sci. Comput. 39, No. 4, A1710--A1740 (2017; Zbl 1372.65089) Full Text: DOI
Francisco, Juliano B.; Gonçalves, Douglas S. A fixed-point method for approximate projection onto the positive semidefinite cone. (English) Zbl 1372.65169 Linear Algebra Appl. 523, 59-78 (2017). MSC: 65K05 90C22 15B57 65F50 PDFBibTeX XMLCite \textit{J. B. Francisco} and \textit{D. S. Gonçalves}, Linear Algebra Appl. 523, 59--78 (2017; Zbl 1372.65169) Full Text: DOI
Lee, Geunseop; Barlow, Jesse Updating approximate principal components with applications to template tracking. (English) Zbl 1424.65053 Numer. Linear Algebra Appl. 24, No. 2, e2081, 12 p. (2017). Reviewer: Hasan Erbay (Kırıkkale) MSC: 65F30 15A23 65F25 PDFBibTeX XMLCite \textit{G. Lee} and \textit{J. Barlow}, Numer. Linear Algebra Appl. 24, No. 2, e2081, 12 p. (2017; Zbl 1424.65053) Full Text: DOI
Beilina, Larisa; Karchevskii, Evgenii; Karchevskii, Mikhail Numerical linear algebra: theory and applications. (English) Zbl 1396.65001 Cham: Springer (ISBN 978-3-319-57302-1/hbk; 978-3-319-57304-5/ebook). xiv, 450 p. (2017). Reviewer: Cyril Fischer (Praha) MSC: 65-01 65Fxx 15-01 15Axx PDFBibTeX XMLCite \textit{L. Beilina} et al., Numerical linear algebra: theory and applications. Cham: Springer (2017; Zbl 1396.65001) Full Text: DOI
Bosner, Nela; Karlsson, Lars Parallel and heterogeneous \(m\)-Hessenberg-triangular-triangular reduction. (English) Zbl 1355.65047 SIAM J. Sci. Comput. 39, No. 1, C29-C47 (2017). MSC: 65F05 15A21 PDFBibTeX XMLCite \textit{N. Bosner} and \textit{L. Karlsson}, SIAM J. Sci. Comput. 39, No. 1, C29--C47 (2017; Zbl 1355.65047) Full Text: DOI
Wen, Zaiwen; Yang, Chao; Liu, Xin; Zhang, Yin Trace-penalty minimization for large-scale eigenspace computation. (English) Zbl 1373.65026 J. Sci. Comput. 66, No. 3, 1175-1203 (2016). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 65K05 90C06 15A22 65Y20 PDFBibTeX XMLCite \textit{Z. Wen} et al., J. Sci. Comput. 66, No. 3, 1175--1203 (2016; Zbl 1373.65026) Full Text: DOI Link
Sukkari, Dalal; Ltaief, Hatem; Keyes, David A high performance QDWH-SVD solver using hardware accelerators. (English) Zbl 1369.65058 ACM Trans. Math. Softw. 43, No. 1, Article No. 6, 25 p. (2016). MSC: 65F15 15A23 65Y10 65Y20 PDFBibTeX XMLCite \textit{D. Sukkari} et al., ACM Trans. Math. Softw. 43, No. 1, Article No. 6, 25 p. (2016; Zbl 1369.65058) Full Text: DOI Link
Stewart, Michael Rank decisions in matrix quotient decompositions. (English) Zbl 1387.65036 SIAM J. Matrix Anal. Appl. 37, No. 4, 1729-1746 (2016). MSC: 65F15 15A23 PDFBibTeX XMLCite \textit{M. Stewart}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1729--1746 (2016; Zbl 1387.65036) 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
Diao, Huai-An; Wei, Yimin; Qiao, Sanzheng Structured condition numbers of structured Tikhonov regularization problem and their estimations. (English) Zbl 1346.65015 J. Comput. Appl. Math. 308, 276-300 (2016). MSC: 65F20 65F35 15A12 65F08 65F10 65D18 65F22 PDFBibTeX XMLCite \textit{H.-A. Diao} et al., J. Comput. Appl. Math. 308, 276--300 (2016; Zbl 1346.65015) Full Text: DOI arXiv
Dopico, Froilán; Uhlig, Frank Computing matrix symmetrizers. II: New methods using eigendata and linear means; a comparison. (English) Zbl 1337.65030 Linear Algebra Appl. 504, 590-622 (2016). MSC: 65F10 65J10 15A23 15B57 PDFBibTeX XMLCite \textit{F. Dopico} and \textit{F. Uhlig}, Linear Algebra Appl. 504, 590--622 (2016; Zbl 1337.65030) Full Text: DOI
Drmač, Zlatko; Gugercin, Serkan A new selection operator for the discrete empirical interpolation method – improved a priori error bound and extensions. (English) Zbl 1382.65193 SIAM J. Sci. Comput. 38, No. 2, A631-A648 (2016). MSC: 65L05 15A12 15A23 93B11 93B40 PDFBibTeX XMLCite \textit{Z. Drmač} and \textit{S. Gugercin}, SIAM J. Sci. Comput. 38, No. 2, A631--A648 (2016; Zbl 1382.65193) Full Text: DOI arXiv
Lawrence, Piers W.; van Barel, Marc; van Dooren, Paul Backward error analysis of polynomial eigenvalue problems solved by linearization. (English) Zbl 1382.65101 SIAM J. Matrix Anal. Appl. 37, No. 1, 123-144 (2016). MSC: 65F15 15A18 65F35 PDFBibTeX XMLCite \textit{P. W. Lawrence} et al., SIAM J. Matrix Anal. Appl. 37, No. 1, 123--144 (2016; Zbl 1382.65101) Full Text: DOI
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus Efficient approximation of random fields for numerical applications. (English) Zbl 1349.65048 Numer. Linear Algebra Appl. 22, No. 4, 596-617 (2015). Reviewer: Alan L. Andrew (Bundoora) MSC: 65C50 65F15 60G60 65N75 15A23 PDFBibTeX XMLCite \textit{H. Harbrecht} et al., Numer. Linear Algebra Appl. 22, No. 4, 596--617 (2015; Zbl 1349.65048) Full Text: DOI Link
Lu, Linzhang; Yuan, Fei; Li, Ren-Cang A new look at the doubling algorithm for a structured palindromic quadratic eigenvalue problem. (English) Zbl 1363.65097 Numer. Linear Algebra Appl. 22, No. 3, 393-409 (2015). Reviewer: Liu Xinguo (Qingdao) MSC: 65H17 65F15 15A24 PDFBibTeX XMLCite \textit{L. Lu} et al., Numer. Linear Algebra Appl. 22, No. 3, 393--409 (2015; Zbl 1363.65097) Full Text: DOI
Drmač, Zlatko SVD of Hankel matrices in Vandermonde-Cauchy product form. (English) Zbl 1330.65057 ETNA, Electron. Trans. Numer. Anal. 44, 593-623 (2015). MSC: 65F15 15A09 15A12 15A18 15A23 15B05 65F22 65F35 65T50 PDFBibTeX XMLCite \textit{Z. Drmač}, ETNA, Electron. Trans. Numer. Anal. 44, 593--623 (2015; Zbl 1330.65057) Full Text: EMIS
Jakovčević Stor, N.; Slapničar, I.; Barlow, J. L. Forward stable eigenvalue decomposition of rank-one modifications of diagonal matrices. (English) Zbl 1325.65053 Linear Algebra Appl. 487, 301-315 (2015). MSC: 65F15 65G50 15-04 15B99 PDFBibTeX XMLCite \textit{N. Jakovčević Stor} et al., Linear Algebra Appl. 487, 301--315 (2015; Zbl 1325.65053) Full Text: DOI arXiv
Lawrence, Piers W.; Corless, Robert M. Backward error of polynomial eigenvalue problems solved by linearization of Lagrange interpolants. (English) Zbl 1327.65073 SIAM J. Matrix Anal. Appl. 36, No. 4, 1425-1442 (2015). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{P. W. Lawrence} and \textit{R. M. Corless}, SIAM J. Matrix Anal. Appl. 36, No. 4, 1425--1442 (2015; Zbl 1327.65073) Full Text: DOI Link
Puelz, Charles; Embree, Mark; Fillman, Jake Spectral approximation for quasiperiodic Jacobi operators. (English) Zbl 1325.47069 Integral Equations Oper. Theory 82, No. 4, 533-554 (2015). Reviewer: Michael Baake (Bielefeld) MSC: 47B36 65F15 81Q10 15A18 47A75 PDFBibTeX XMLCite \textit{C. Puelz} et al., Integral Equations Oper. Theory 82, No. 4, 533--554 (2015; Zbl 1325.47069) Full Text: DOI arXiv
Lang, Norman; Mena, Hermann; Saak, Jens On the benefits of the \(L D L^T\) factorization for large-scale differential matrix equation solvers. (English) Zbl 1320.65110 Linear Algebra Appl. 480, 44-71 (2015). MSC: 65L06 15A23 93A15 PDFBibTeX XMLCite \textit{N. Lang} et al., Linear Algebra Appl. 480, 44--71 (2015; Zbl 1320.65110) Full Text: DOI
Holodnak, John T.; Ipsen, Ilse C. F. Randomized approximation of the Gram matrix: exact computation and probabilistic bounds. (English) Zbl 1330.65061 SIAM J. Matrix Anal. Appl. 36, No. 1, 110-137 (2015). MSC: 65F20 65F35 15A18 65C05 68W20 PDFBibTeX XMLCite \textit{J. T. Holodnak} and \textit{I. C. F. Ipsen}, SIAM J. Matrix Anal. Appl. 36, No. 1, 110--137 (2015; Zbl 1330.65061) Full Text: DOI arXiv Backlinks: MO
Strobach, Peter Constrained optimization of the overdetermined Zimmermann compressor for nonorthogonal joint matrix diagonalization. (English) Zbl 1310.65049 Numer. Math. 129, No. 3, 563-586 (2015). MSC: 65F30 65F20 15A21 PDFBibTeX XMLCite \textit{P. Strobach}, Numer. Math. 129, No. 3, 563--586 (2015; Zbl 1310.65049) Full Text: DOI
Loring, Terry A. Computing a logarithm of a unitary matrix with general spectrum. (English) Zbl 1340.65089 Numer. Linear Algebra Appl. 21, No. 6, 744-760 (2014). MSC: 65F60 15B10 15A16 PDFBibTeX XMLCite \textit{T. A. Loring}, Numer. Linear Algebra Appl. 21, No. 6, 744--760 (2014; Zbl 1340.65089) Full Text: DOI arXiv
Huang, Wei-Qiang; Gu, Xianfeng David; Lin, Wen-Wei; Yau, Shing-Tung A novel symmetric skew-Hamiltonian isotropic Lanczos algorithm for spectral conformal parameterizations. (English) Zbl 1315.65036 J. Sci. Comput. 61, No. 3, 558-583 (2014). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 15B57 PDFBibTeX XMLCite \textit{W.-Q. Huang} et al., J. Sci. Comput. 61, No. 3, 558--583 (2014; Zbl 1315.65036) Full Text: DOI arXiv
Li, Shengguo; Gu, Ming; Cheng, Lizhi; Chi, Xuebin; Sun, Meng An accelerated divide-and-conquer algorithm for the bidiagonal SVD problem. (English) Zbl 1305.65127 SIAM J. Matrix Anal. Appl. 35, No. 3, 1038-1057 (2014). MSC: 65F20 15B05 65F15 PDFBibTeX XMLCite \textit{S. Li} et al., SIAM J. Matrix Anal. Appl. 35, No. 3, 1038--1057 (2014; Zbl 1305.65127) Full Text: DOI
Tang, Ping Tak Peter; Polizzi, Eric FEAST as a subspace iteration eigensolver accelerated by approximate spectral projection. (English) Zbl 1303.65018 SIAM J. Matrix Anal. Appl. 35, No. 2, 354-390 (2014). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{P. T. P. Tang} and \textit{E. Polizzi}, SIAM J. Matrix Anal. Appl. 35, No. 2, 354--390 (2014; Zbl 1303.65018) Full Text: DOI arXiv
Meng, Xiangrui; Saunders, Michael A.; Mahoney, Michael W. LSRN: A parallel iterative solver for strongly over- or underdetermined systems. (English) Zbl 1298.65053 SIAM J. Sci. Comput. 36, No. 2, 95-118 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F08 65F10 65F20 65F22 65F35 65F50 15B52 65Y05 PDFBibTeX XMLCite \textit{X. Meng} et al., SIAM J. Sci. Comput. 36, No. 2, 95--118 (2014; Zbl 1298.65053) Full Text: DOI arXiv Link
Bertolazzi, Enrico; Rimoldi, Anna Fast matrix decomposition in \(\mathbb F_2\). (English) Zbl 1293.65067 J. Comput. Appl. Math. 260, 519-532 (2014). MSC: 65F30 15A23 68Q25 94A60 PDFBibTeX XMLCite \textit{E. Bertolazzi} and \textit{A. Rimoldi}, J. Comput. Appl. Math. 260, 519--532 (2014; Zbl 1293.65067) Full Text: DOI arXiv
Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki A shift strategy for superquadratic convergence in the dqds algorithm for singular values. (English) Zbl 1294.65043 J. Comput. Appl. Math. 257, 132-143 (2014). MSC: 65F20 15A18 PDFBibTeX XMLCite \textit{K. Aishima} et al., J. Comput. Appl. Math. 257, 132--143 (2014; Zbl 1294.65043) Full Text: DOI
Benner, Peter; Ezzatti, Pablo; Quintana-Ortí, Enrique S.; Remón, Alfredo A factored variant of the Newton iteration for the solution of algebraic Riccati equations via the matrix sign function. (English) Zbl 1300.65021 Numer. Algorithms 66, No. 2, 363-377 (2014). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algorithms 66, No. 2, 363--377 (2014; Zbl 1300.65021) Full Text: DOI
Boito, P.; Eidelman, Y.; Gemignani, L. Implicit QR for rank-structured matrix pencils. (English) Zbl 1290.65031 BIT 54, No. 1, 85-111 (2014). MSC: 65F15 65Y20 15B57 15A22 PDFBibTeX XMLCite \textit{P. Boito} et al., BIT 54, No. 1, 85--111 (2014; Zbl 1290.65031) Full Text: DOI
Yamashita, Takumi; Kimura, Kinji; Takata, Masami; Nakamura, Yoshimasa An application of the Kato-temple inequality on matrix eigenvalues to the dqds algorithm for singular values. (English) Zbl 1416.65099 JSIAM Lett. 5, 21-24 (2013). Reviewer: John D. Dixon (Ottawa) MSC: 65F15 15A18 65F30 PDFBibTeX XMLCite \textit{T. Yamashita} et al., JSIAM Lett. 5, 21--24 (2013; Zbl 1416.65099) Full Text: DOI
Benner, Peter; Börm, Steffen; Mach, Thomas; Reimer, Knut Computing the eigenvalues of symmetric \(\mathcal{H}^2\)-matrices by slicing the spectrum. (English) Zbl 1376.65044 Comput. Vis. Sci. 16, No. 6, 271-282 (2013). MSC: 65F15 65F50 15A18 65Y20 PDFBibTeX XMLCite \textit{P. Benner} et al., Comput. Vis. Sci. 16, No. 6, 271--282 (2013; Zbl 1376.65044) Full Text: DOI arXiv
Bientinesi, Paolo; Gunnels, John A.; Myers, Margaret E.; Quintana-Ortí, Enrique S.; Rhodes, Tyler; van de Geijn, Robert A.; van Zee, Field G. Deriving dense linear algebra libraries. (English) Zbl 1298.65003 Formal Asp. Comput. 25, No. 6, 933-945 (2013). MSC: 65-04 65Fxx 15-04 PDFBibTeX XMLCite \textit{P. Bientinesi} et al., Formal Asp. Comput. 25, No. 6, 933--945 (2013; Zbl 1298.65003) Full Text: DOI Link
Jeannerod, Claude-Pierre; Pernet, Clément; Storjohann, Arne Rank-profile revealing Gaussian elimination and the CUP matrix decomposition. (English) Zbl 1329.65065 J. Symb. Comput. 56, 46-68 (2013). MSC: 65F05 15A23 PDFBibTeX XMLCite \textit{C.-P. Jeannerod} et al., J. Symb. Comput. 56, 46--68 (2013; Zbl 1329.65065) Full Text: DOI arXiv
Benner, Peter; Mach, Thomas The preconditioned inverse iteration for hierarchical matrices. (English) Zbl 1289.65074 Numer. Linear Algebra Appl. 20, No. 1, 150-166 (2013). Reviewer: Sabine Le Borne (Hamburg) MSC: 65F15 65F08 15B48 65F50 65N30 65N38 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Mach}, Numer. Linear Algebra Appl. 20, No. 1, 150--166 (2013; Zbl 1289.65074) Full Text: DOI
Diao, Huaian; Wang, Weiguo; Wei, Yimin; Qiao, Sanzheng On condition numbers for Moore-Penrose inverse and linear least squares problem involving Kronecker products. (English) Zbl 1289.65118 Numer. Linear Algebra Appl. 20, No. 1, 44-59 (2013). MSC: 65F35 15A69 15A09 65F20 PDFBibTeX XMLCite \textit{H. Diao} et al., Numer. Linear Algebra Appl. 20, No. 1, 44--59 (2013; Zbl 1289.65118) Full Text: DOI
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
Willems, Paul R.; Lang, Bruno A framework for the \(\text{MR}^3\) algorithm: theory and implementation. (English) Zbl 1266.65061 SIAM J. Sci. Comput. 35, No. 2, A740-A766 (2013). MSC: 65F15 65G50 15A18 PDFBibTeX XMLCite \textit{P. R. Willems} and \textit{B. Lang}, SIAM J. Sci. Comput. 35, No. 2, A740--A766 (2013; Zbl 1266.65061) Full Text: DOI
Xu, Wei; Qiao, Sanzheng; Zhang, Jiantong A twisted factorization method for complex symmetric tridiagonal eigenvalue decomposition. (English) Zbl 1323.65033 Information 15, No. 4, 1393-1407 (2012). MSC: 65F15 15A23 PDFBibTeX XMLCite \textit{W. Xu} et al., Information 15, No. 4, 1393--1407 (2012; Zbl 1323.65033)
Lin, Yiqin; Bao, Liang; Cao, Yanhua; Zhou, Liping A direct method for solving projected generalized continuous-time Sylvester equations. (English) Zbl 1274.65123 J. Control Theory Appl. 10, No. 3, 319-324 (2012). MSC: 65F30 15A24 65F05 PDFBibTeX XMLCite \textit{Y. Lin} et al., J. Control Theory Appl. 10, No. 3, 319--324 (2012; Zbl 1274.65123) Full Text: DOI
Schauer, Marco; Roman, Jose E.; Quintana-Ortí, Enrique S.; Langer, Sabine Parallel computation of 3-D soil-structure interaction in time domain with a coupled FEM/SBFEM approach. (English) Zbl 1311.74077 J. Sci. Comput. 52, No. 2, 446-467 (2012). MSC: 74L10 74S05 65L60 15A24 PDFBibTeX XMLCite \textit{M. Schauer} et al., J. Sci. Comput. 52, No. 2, 446--467 (2012; Zbl 1311.74077) Full Text: DOI Link