Baglama, James; Perović, Vasilije; Picucci, Jennifer Hybrid iterative refined restarted Lanczos bidiagonalization methods. (English) Zbl 1506.65060 Numer. Algorithms 92, No. 2, 1183-1212 (2023). MSC: 65F15 65F50 15A18 PDFBibTeX XMLCite \textit{J. Baglama} et al., Numer. Algorithms 92, No. 2, 1183--1212 (2023; Zbl 1506.65060) Full Text: DOI
Kenmoe, Maseim; Kriemann, Ronald; Smerlak, Matteo; Zadorin, Anton S. A fast iterative algorithm for near-diagonal eigenvalue problems. (English) Zbl 1508.65032 SIAM J. Matrix Anal. Appl. 43, No. 4, 1573-1598 (2022). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{M. Kenmoe} et al., SIAM J. Matrix Anal. Appl. 43, No. 4, 1573--1598 (2022; Zbl 1508.65032) Full Text: DOI arXiv
Eldén, Lars; Dehghan, Maryam A Krylov-Schur-like method for computing the best rank-\((r_1,r_2,r_3)\) approximation of large and sparse tensors. (English) Zbl 1500.65016 Numer. Algorithms 91, No. 3, 1315-1347 (2022). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{L. Eldén} and \textit{M. Dehghan}, Numer. Algorithms 91, No. 3, 1315--1347 (2022; Zbl 1500.65016) 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
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
Kalantzis, Vassilis; Xi, Yuanzhe; Horesh, Lior Fast randomized non-Hermitian eigensolvers based on rational filtering and matrix partitioning. (English) Zbl 07418130 SIAM J. Sci. Comput. 43, No. 5, S791-S815 (2021). MSC: 65F15 15A18 65F50 PDFBibTeX XMLCite \textit{V. Kalantzis} et al., SIAM J. Sci. Comput. 43, No. 5, S791--S815 (2021; Zbl 07418130) Full Text: DOI arXiv
Hashemian, Ali; Pardo, David; Calo, Victor M. Refined isogeometric analysis for generalized Hermitian eigenproblems. (English) Zbl 1506.65197 Comput. Methods Appl. Mech. Eng. 381, Article ID 113823, 25 p. (2021). MSC: 65N25 15A18 65D07 PDFBibTeX XMLCite \textit{A. Hashemian} et al., Comput. Methods Appl. Mech. Eng. 381, Article ID 113823, 25 p. (2021; Zbl 1506.65197) Full Text: DOI arXiv Link
Mostajeran, Cyrus; Grussler, Christian; Sepulchre, Rodolphe Geometric matrix midranges. (English) Zbl 1456.15031 SIAM J. Matrix Anal. Appl. 41, No. 3, 1347-1368 (2020). MSC: 15B48 53C22 47N10 90C26 PDFBibTeX XMLCite \textit{C. Mostajeran} et al., SIAM J. Matrix Anal. Appl. 41, No. 3, 1347--1368 (2020; Zbl 1456.15031) Full Text: DOI arXiv
Hokanson, Jeffrey M. A data-driven McMillan degree lower bound. (English) Zbl 1456.37098 SIAM J. Sci. Comput. 42, No. 5, A3447-A3461 (2020). MSC: 37M99 15B52 60B20 62B10 93E12 PDFBibTeX XMLCite \textit{J. M. Hokanson}, SIAM J. Sci. Comput. 42, No. 5, A3447--A3461 (2020; Zbl 1456.37098) Full Text: DOI arXiv
Uschmajew, André; Vandereycken, Bart Geometric methods on low-rank matrix and tensor manifolds. (English) Zbl 1512.65078 Grohs, Philipp (ed.) et al., Handbook of variational methods for nonlinear geometric data. Cham: Springer. 261-313 (2020). MSC: 65F55 15A69 53B21 90C30 90C48 PDFBibTeX XMLCite \textit{A. Uschmajew} and \textit{B. Vandereycken}, in: Handbook of variational methods for nonlinear geometric data. Cham: Springer. 261--313 (2020; Zbl 1512.65078) Full Text: DOI
Kalantzis, Vassilis A spectral Newton-Schur algorithm for the solution of symmetric generalized eigenvalue problems. (English) Zbl 1436.65038 ETNA, Electron. Trans. Numer. Anal. 52, 132-153 (2020). MSC: 65F15 15A18 65F50 PDFBibTeX XMLCite \textit{V. Kalantzis}, ETNA, Electron. Trans. Numer. Anal. 52, 132--153 (2020; Zbl 1436.65038) Full Text: DOI Link
Goulart, Paul J.; Nakatsukasa, Yuji; Rontsis, Nikitas Accuracy of approximate projection to the semidefinite cone. (English) Zbl 1436.65036 Linear Algebra Appl. 594, 177-192 (2020). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 15A45 15B48 90C22 PDFBibTeX XMLCite \textit{P. J. Goulart} et al., Linear Algebra Appl. 594, 177--192 (2020; Zbl 1436.65036) Full Text: DOI arXiv
Girardi, Maria; Padovani, Cristina; Pellegrini, Daniele; Porcelli, Margherita; Robol, Leonardo Finite element model updating for structural applications. (English) Zbl 1493.65075 J. Comput. Appl. Math. 370, Article ID 112675, 19 p. (2020). MSC: 65F18 15A22 65L60 70J10 PDFBibTeX XMLCite \textit{M. Girardi} et al., J. Comput. Appl. Math. 370, Article ID 112675, 19 p. (2020; Zbl 1493.65075) Full Text: DOI arXiv
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
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
Hou, Thomas Y.; Huang, De; Lam, Ka Chun; Zhang, Ziyun A fast hierarchically preconditioned eigensolver based on multiresolution matrix decomposition. (English) Zbl 1455.65053 Multiscale Model. Simul. 17, No. 1, 260-306 (2019). MSC: 65F15 15A18 15A12 65F08 PDFBibTeX XMLCite \textit{T. Y. Hou} et al., Multiscale Model. Simul. 17, No. 1, 260--306 (2019; Zbl 1455.65053) Full Text: DOI arXiv
Andreotti, Eleonora; Edelmann, Dominik; Guglielmi, Nicola; Lubich, Christian Constrained graph partitioning via matrix differential equations. (English) Zbl 1407.05187 SIAM J. Matrix Anal. Appl. 40, No. 1, 1-22 (2019). MSC: 05C70 05C85 05C22 15A18 65K05 PDFBibTeX XMLCite \textit{E. Andreotti} et al., SIAM J. Matrix Anal. Appl. 40, No. 1, 1--22 (2019; Zbl 1407.05187) Full Text: DOI
Noschese, Silvia; Reichel, Lothar Computing unstructured and structured polynomial pseudospectrum approximations. (English) Zbl 1417.65116 J. Comput. Appl. Math. 350, 57-68 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{S. Noschese} and \textit{L. Reichel}, J. Comput. Appl. Math. 350, 57--68 (2019; Zbl 1417.65116) Full Text: DOI arXiv
Camps, Daan; Meerbergen, Karl; Vandebril, Raf An implicit filter for rational Krylov using core transformations. (English) Zbl 1403.65016 Linear Algebra Appl. 561, 113-140 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{D. Camps} et al., Linear Algebra Appl. 561, 113--140 (2019; Zbl 1403.65016) Full Text: DOI Link
Yu, Wenjian; Gu, Yu; Li, Yaohang Efficient randomized algorithms for the fixed-precision low-rank matrix approximation. (English) Zbl 1405.65063 SIAM J. Matrix Anal. Appl. 39, No. 3, 1339-1359 (2018). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 65F30 15A18 15A23 60B20 65F15 68W20 PDFBibTeX XMLCite \textit{W. Yu} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1339--1359 (2018; Zbl 1405.65063) Full Text: DOI arXiv
Carrington, Tucker Iterative methods for computing vibrational spectra. (English) Zbl 06916888 Mathematics 6, No. 1, Paper No. 13, 14 p. (2018). MSC: 65-XX 15-XX 94-XX PDFBibTeX XMLCite \textit{T. Carrington}, Mathematics 6, No. 1, Paper No. 13, 14 p. (2018; Zbl 06916888) 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
Guglielmi, Nicola; Lubich, Christian Matrix stabilization using differential equations. (English) Zbl 1379.65037 SIAM J. Numer. Anal. 55, No. 6, 3097-3119 (2017). MSC: 65K05 90C26 15A18 93D15 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{C. Lubich}, SIAM J. Numer. Anal. 55, No. 6, 3097--3119 (2017; Zbl 1379.65037) Full Text: DOI
Benner, Peter; Dolgov, Sergey; Khoromskaia, Venera; Khoromskij, Boris N. Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation. (English) Zbl 1376.65045 J. Comput. Phys. 334, 221-239 (2017). MSC: 65F15 65F30 15A69 35Q35 PDFBibTeX XMLCite \textit{P. Benner} et al., J. Comput. Phys. 334, 221--239 (2017; Zbl 1376.65045) Full Text: DOI arXiv
Embree, Mark; Keeler, Blake Pseudospectra of matrix pencils for transient analysis of differential-algebraic equations. (English) Zbl 1379.65058 SIAM J. Matrix Anal. Appl. 38, No. 3, 1028-1054 (2017). MSC: 65L80 65L20 34A09 15A22 65F15 PDFBibTeX XMLCite \textit{M. Embree} and \textit{B. Keeler}, SIAM J. Matrix Anal. Appl. 38, No. 3, 1028--1054 (2017; Zbl 1379.65058) Full Text: DOI arXiv
Wu, Lingfei; Romero, Eloy; Stathopoulos, Andreas PRIMME_SVDS: a high-performance preconditioned SVD solver for accurate large-scale computations. (English) Zbl 1392.65100 SIAM J. Sci. Comput. 39, No. 5, S248-S271 (2017). MSC: 65F15 15A18 65Y15 PDFBibTeX XMLCite \textit{L. Wu} et al., SIAM J. Sci. Comput. 39, No. 5, S248--S271 (2017; Zbl 1392.65100) Full Text: DOI arXiv
Che, Maolin; Li, Guoyin; Qi, Liqun; Wei, Yimin Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems. (English) Zbl 1371.15010 Linear Algebra Appl. 533, 536-572 (2017). MSC: 15A18 15A69 65F15 65F10 PDFBibTeX XMLCite \textit{M. Che} et al., Linear Algebra Appl. 533, 536--572 (2017; Zbl 1371.15010) Full Text: DOI
Lu, Ding; Vandereycken, Bart Criss-cross type algorithms for computing the real pseudospectral abscissa. (English) Zbl 1373.65024 SIAM J. Matrix Anal. Appl. 38, No. 3, 891-923 (2017). MSC: 65F15 15A60 PDFBibTeX XMLCite \textit{D. Lu} and \textit{B. Vandereycken}, SIAM J. Matrix Anal. Appl. 38, No. 3, 891--923 (2017; Zbl 1373.65024) Full Text: DOI
Gomes, F. M.; Martínez, J. M.; Raydan, M. On the computation of large-scale self-consistent-field iterations. (English) Zbl 1392.65094 J. Math. Chem. 55, No. 5, 1158-1172 (2017). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{F. M. Gomes} et al., J. Math. Chem. 55, No. 5, 1158--1172 (2017; Zbl 1392.65094) Full Text: DOI
Guglielmi, Nicola; Lubich, Christian; Mehrmann, Volker On the nearest singular matrix pencil. (English) Zbl 1371.15015 SIAM J. Matrix Anal. Appl. 38, No. 3, 776-806 (2017). MSC: 15A22 34A30 34A09 65F30 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., SIAM J. Matrix Anal. Appl. 38, No. 3, 776--806 (2017; Zbl 1371.15015) Full Text: DOI
Guglielmi, Nicola; Rehman, Mutti-Ur; Kressner, Daniel A novel iterative method to approximate structured singular values. (English) Zbl 1365.65101 SIAM J. Matrix Anal. Appl. 38, No. 2, 361-386 (2017). MSC: 65F20 15A18 93D05 65K10 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., SIAM J. Matrix Anal. Appl. 38, No. 2, 361--386 (2017; Zbl 1365.65101) Full Text: DOI arXiv
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
Bangay, Shaun; Beliakov, Gleb On the fast Lanczos method for computation of eigenvalues of Hankel matrices using multiprecision arithmetics. (English) Zbl 1413.65089 Numer. Linear Algebra Appl. 23, No. 3, 485-500 (2016). MSC: 65F15 15B05 65T50 PDFBibTeX XMLCite \textit{S. Bangay} and \textit{G. Beliakov}, Numer. Linear Algebra Appl. 23, No. 3, 485--500 (2016; Zbl 1413.65089) Full Text: DOI
Brown, Kirsty L.; Gejadze, Igor; Ramage, Alison A multilevel approach for computing the limited-memory Hessian and its inverse in variational data assimilation. (English) Zbl 1348.65074 SIAM J. Sci. Comput. 38, No. 5, A2934-A2963 (2016). MSC: 65F30 65F08 15A09 65F15 PDFBibTeX XMLCite \textit{K. L. Brown} et al., SIAM J. Sci. Comput. 38, No. 5, A2934--A2963 (2016; Zbl 1348.65074) Full Text: DOI
Simoncini, V. Computational methods for linear matrix equations. (English) Zbl 1386.65124 SIAM Rev. 58, No. 3, 377-441 (2016). MSC: 65F30 65F10 15A24 15A06 PDFBibTeX XMLCite \textit{V. Simoncini}, SIAM Rev. 58, No. 3, 377--441 (2016; Zbl 1386.65124) Full Text: DOI Link
Saibaba, Arvind K.; Lee, Jonghyun; Kitanidis, Peter K. Randomized algorithms for generalized Hermitian eigenvalue problems with application to computing Karhunen-Loève expansion. (English) Zbl 1413.65104 Numer. Linear Algebra Appl. 23, No. 2, 314-339 (2016). MSC: 65F15 15B57 PDFBibTeX XMLCite \textit{A. K. Saibaba} et al., Numer. Linear Algebra Appl. 23, No. 2, 314--339 (2016; Zbl 1413.65104) Full Text: DOI arXiv
Sirković, Petar; Kressner, Daniel Subspace acceleration for large-scale parameter-dependent Hermitian eigenproblems. (English) Zbl 1382.65104 SIAM J. Matrix Anal. Appl. 37, No. 2, 695-718 (2016). MSC: 65F15 15B57 15A18 47A55 PDFBibTeX XMLCite \textit{P. Sirković} and \textit{D. Kressner}, SIAM J. Matrix Anal. Appl. 37, No. 2, 695--718 (2016; Zbl 1382.65104) Full Text: DOI arXiv
Sorensen, D. C.; Embree, Mark A DEIM induced CUR factorization. (English) Zbl 1382.65121 SIAM J. Sci. Comput. 38, No. 3, A1454-A1482 (2016). MSC: 65F30 15A23 47A58 65F35 68W25 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{M. Embree}, SIAM J. Sci. Comput. 38, No. 3, A1454--A1482 (2016; Zbl 1382.65121) Full Text: DOI arXiv
Huang, Tsung-Ming; Lin, Wen-Wei; Mehrmann, Volker A Newton-type method with nonequivalence deflation for nonlinear eigenvalue problems arising in photonic crystal modeling. (English) Zbl 1380.65354 SIAM J. Sci. Comput. 38, No. 2, B191-B218 (2016). MSC: 65N25 65F15 78A40 15A18 PDFBibTeX XMLCite \textit{T.-M. Huang} et al., SIAM J. Sci. Comput. 38, No. 2, B191--B218 (2016; Zbl 1380.65354) Full Text: DOI Link
Guglielmi, Nicola; Manetta, Manuela An iterative method for computing robustness of polynomial stability. (English) Zbl 1327.15013 J. Comput. Appl. Math. 292, 638-653 (2016). MSC: 15A18 65K05 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. Manetta}, J. Comput. Appl. Math. 292, 638--653 (2016; Zbl 1327.15013) 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
Spantini, Alessio; Solonen, Antti; Cui, Tiangang; Martin, James; Tenorio, Luis; Marzouk, Youssef Optimal low-rank approximations of Bayesian linear inverse problems. (English) Zbl 1325.62060 SIAM J. Sci. Comput. 37, No. 6, A2451-A2487 (2015). MSC: 62F15 15A29 92C55 68W25 PDFBibTeX XMLCite \textit{A. Spantini} et al., SIAM J. Sci. Comput. 37, No. 6, A2451--A2487 (2015; Zbl 1325.62060) Full Text: DOI arXiv Link
Wu, Lingfei; Stathopoulos, Andreas A preconditioned hybrid SVD method for accurately computing singular triplets of large matrices. (English) Zbl 1325.65055 SIAM J. Sci. Comput. 37, No. 5, S365-S388 (2015). MSC: 65F15 65F08 15A18 PDFBibTeX XMLCite \textit{L. Wu} and \textit{A. Stathopoulos}, SIAM J. Sci. Comput. 37, No. 5, S365--S388 (2015; Zbl 1325.65055) Full Text: DOI arXiv
Liu, Xin; Wen, Zaiwen; Zhang, Yin An efficient Gauss-Newton algorithm for symmetric low-rank product matrix approximations. (English) Zbl 1321.65060 SIAM J. Optim. 25, No. 3, 1571-1608 (2015). MSC: 65F20 15A83 65F10 62H35 PDFBibTeX XMLCite \textit{X. Liu} et al., SIAM J. Optim. 25, No. 3, 1571--1608 (2015; Zbl 1321.65060) Full Text: DOI
Lee, Namgil; Cichocki, Andrzej Estimating a few extreme singular values and vectors for large-scale matrices in tensor train format. (English) Zbl 1319.65029 SIAM J. Matrix Anal. Appl. 36, No. 3, 994-1014 (2015). MSC: 65F20 15A18 65Y20 65F50 15B05 15B52 PDFBibTeX XMLCite \textit{N. Lee} and \textit{A. Cichocki}, SIAM J. Matrix Anal. Appl. 36, No. 3, 994--1014 (2015; Zbl 1319.65029) Full Text: DOI arXiv
Austin, Anthony P.; Trefethen, Lloyd N. Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic. (English) Zbl 1328.15016 SIAM J. Sci. Comput. 37, No. 3, A1365-A1387 (2015). MSC: 15A18 41A20 65F15 PDFBibTeX XMLCite \textit{A. P. Austin} and \textit{L. N. Trefethen}, SIAM J. Sci. Comput. 37, No. 3, A1365--A1387 (2015; Zbl 1328.15016) Full Text: DOI Link
Buttà, P.; Guglielmi, N.; Manetta, M.; Noschese, S. Differential equations for real-structured defectivity measures. (English) Zbl 1320.65053 SIAM J. Matrix Anal. Appl. 36, No. 2, 523-548 (2015). MSC: 65F15 15A18 65K05 PDFBibTeX XMLCite \textit{P. Buttà} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 523--548 (2015; Zbl 1320.65053) Full Text: DOI arXiv Link
Kostić, Vladimir R.; Miȩdlar, Agnieszka; Stolwijk, Jeroen J. On matrix nearness problems: distance to delocalization. (English) Zbl 1328.65090 SIAM J. Matrix Anal. Appl. 36, No. 2, 435-460 (2015). MSC: 65F15 15A18 15A22 PDFBibTeX XMLCite \textit{V. R. Kostić} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 435--460 (2015; Zbl 1328.65090) Full Text: DOI Link
Guglielmi, Nicola; Kressner, Daniel; Lubich, Christian Low rank differential equations for Hamiltonian matrix nearness problems. (English) Zbl 1312.65070 Numer. Math. 129, No. 2, 279-319 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A18 93B36 93B40 49N35 65F15 93B52 93C05 65K10 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., Numer. Math. 129, No. 2, 279--319 (2015; Zbl 1312.65070) Full Text: DOI
Kressner, Daniel; Roman, Jose E. Memory-efficient Arnoldi algorithms for linearizations of matrix polynomials in Chebyshev basis. (English) Zbl 1340.65059 Numer. Linear Algebra Appl. 21, No. 4, 569-588 (2014). Reviewer: Karl Meerbergen (Leuven) MSC: 65F15 15A18 15A22 65H17 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{J. E. Roman}, Numer. Linear Algebra Appl. 21, No. 4, 569--588 (2014; Zbl 1340.65059) Full Text: DOI Link
Abdel-Rehim, A. M.; Stathopoulos, Andreas; Orginos, Kostas Extending the eigCG algorithm to nonsymmetric Lanczos for linear systems with multiple right-hand sides. (English) Zbl 1340.65056 Numer. Linear Algebra Appl. 21, No. 4, 473-493 (2014). Reviewer: Ronald B. Morgan (Waco) MSC: 65F15 65F10 15A06 15A18 65F50 81V05 PDFBibTeX XMLCite \textit{A. M. Abdel-Rehim} et al., Numer. Linear Algebra Appl. 21, No. 4, 473--493 (2014; Zbl 1340.65056) 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
Assis, M.; Jacobsen, J. L.; Jensen, I.; Maillard, J.-M.; McCoy, B. M. The hard hexagon partition function for complex fugacity. (English) Zbl 1284.82014 J. Phys. A, Math. Theor. 46, No. 44, Article ID 445202, 46 p. (2013). Reviewer: Guy Jumarie (Montréal) MSC: 82B20 15A18 34L15 PDFBibTeX XMLCite \textit{M. Assis} et al., J. Phys. A, Math. Theor. 46, No. 44, Article ID 445202, 46 p. (2013; Zbl 1284.82014) Full Text: DOI arXiv
Guglielmi, Nicola; Gürbüzbalaban, Mert; Overton, Michael L. Fast approximation of the \(H_\infty\) norm via optimization over spectral value sets. (English) Zbl 1271.93057 SIAM J. Matrix Anal. Appl. 34, No. 2, 709-737 (2013). MSC: 93B40 93B25 93B60 93C05 93C80 65F15 15A18 90C06 93C55 65F50 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., SIAM J. Matrix Anal. Appl. 34, No. 2, 709--737 (2013; Zbl 1271.93057) Full Text: DOI
Wang, Xiang; Lu, Lin-zhang; Niu, Qiang; Nie, Yong-ming A refined variant of the inverse-free Krylov subspace method for symmetric generalized eigenvalue problems. (English) Zbl 1268.65050 Japan J. Ind. Appl. Math. 30, No. 2, 465-482 (2013). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{X. Wang} et al., Japan J. Ind. Appl. Math. 30, No. 2, 465--482 (2013; Zbl 1268.65050) Full Text: DOI
Guglielmi, Nicola; Lubich, Christian Low-rank dynamics for computing extremal points of real pseudospectra. (English) Zbl 1272.65032 SIAM J. Matrix Anal. Appl. 34, No. 1, 40-66 (2013). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 15A18 15A42 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{C. Lubich}, SIAM J. Matrix Anal. Appl. 34, No. 1, 40--66 (2013; Zbl 1272.65032) Full Text: DOI Link
Savas, Berkant; Eldén, Lars Krylov-type methods for tensor computations.I. (English) Zbl 1258.65032 Linear Algebra Appl. 438, No. 2, 891-918 (2013). MSC: 65F10 65F20 15A72 PDFBibTeX XMLCite \textit{B. Savas} and \textit{L. Eldén}, Linear Algebra Appl. 438, No. 2, 891--918 (2013; Zbl 1258.65032) Full Text: DOI arXiv
Amodei, L.; Buchot, J.-M. A stabilization algorithm of the Navier-Stokes equations based on algebraic Bernoulli equation. (English) Zbl 1274.76186 Numer. Linear Algebra Appl. 19, No. 4, 700-727 (2012). MSC: 76D05 15A24 65F30 PDFBibTeX XMLCite \textit{L. Amodei} and \textit{J. M. Buchot}, Numer. Linear Algebra Appl. 19, No. 4, 700--727 (2012; Zbl 1274.76186) Full Text: DOI
Janovská, Drahoslava; Janovský, Vladimír; Tanabe, Kunio A note on computation of pseudospectra. (English) Zbl 1255.65078 Math. Comput. Simul. 82, No. 10, 1732-1743 (2012). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{D. Janovská} et al., Math. Comput. Simul. 82, No. 10, 1732--1743 (2012; Zbl 1255.65078) Full Text: DOI
Guglielmi, Nicola; Lubich, Christian Erratum/addendum: Differential equations for roaming pseudospectra: paths to extremal points and boundary tracking. (English) Zbl 1257.15007 SIAM J. Numer. Anal. 50, No. 2, 977-981 (2012). MSC: 15A18 65F15 37C10 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{C. Lubich}, SIAM J. Numer. Anal. 50, No. 2, 977--981 (2012; Zbl 1257.15007) Full Text: DOI
Harbrecht, Helmut; Peters, Michael; Schneider, Reinhold On the low-rank approximation by the pivoted Cholesky decomposition. (English) Zbl 1244.65042 Appl. Numer. Math. 62, No. 4, 428-440 (2012). Reviewer: R. Militaru (Craiova) MSC: 65F05 15B48 47A10 47B07 PDFBibTeX XMLCite \textit{H. Harbrecht} et al., Appl. Numer. Math. 62, No. 4, 428--440 (2012; Zbl 1244.65042) Full Text: DOI
Janecek, Andreas; Schulze Grotthoff, Stefan; Gansterer, Wilfried N. LibNMF – a library for nonnegative matrix factorization. (English) Zbl 1413.65001 Comput. Inform. 30, No. 2, 205-224 (2011). MSC: 65-04 65F30 15A23 65Y15 PDFBibTeX XMLCite \textit{A. Janecek} et al., Comput. Inform. 30, No. 2, 205--224 (2011; Zbl 1413.65001)
Mehrmann, Volker; Schröder, Christian Nonlinear eigenvalue and frequency response problems in industrial practice. (English) Zbl 1273.65058 J. Math. Ind. 1, Paper No. 7, 18 p. (2011). MSC: 65F18 15A18 PDFBibTeX XMLCite \textit{V. Mehrmann} and \textit{C. Schröder}, J. Math. Ind. 1, Paper No. 7, 18 p. (2011; Zbl 1273.65058) Full Text: DOI
Su, Yangfeng; Bai, Zhaojun Solving rational eigenvalue problems via linearization. (English) Zbl 1222.65034 SIAM J. Matrix Anal. Appl. 32, No. 1, 201-216 (2011). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 65F50 15A22 47A56 PDFBibTeX XMLCite \textit{Y. Su} and \textit{Z. Bai}, SIAM J. Matrix Anal. Appl. 32, No. 1, 201--216 (2011; Zbl 1222.65034) Full Text: DOI
Mengi, Emre Locating a nearest matrix with an eigenvalue of prespecified algebraic multiplicity. (English) Zbl 1219.65046 Numer. Math. 118, No. 1, 109-135 (2011). Reviewer: Efstratios Rappos (Aubonne) MSC: 65F30 15A18 90C56 15A60 65K05 65F15 PDFBibTeX XMLCite \textit{E. Mengi}, Numer. Math. 118, No. 1, 109--135 (2011; Zbl 1219.65046) Full Text: DOI
Savas, Berkant; Lim, Lek-Heng Quasi-Newton methods on Grassmannians and multilinear approximations of tensors. (English) Zbl 1226.65058 SIAM J. Sci. Comput. 32, No. 6, 3352-3393 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65K05 90C53 15A69 14M15 90C30 53A45 PDFBibTeX XMLCite \textit{B. Savas} and \textit{L.-H. Lim}, SIAM J. Sci. Comput. 32, No. 6, 3352--3393 (2010; Zbl 1226.65058) Full Text: DOI arXiv
Zhou, Yunkai A block Chebyshev-Davidson method with inner-outer restart for large eigenvalue problems. (English) Zbl 1203.65077 J. Comput. Phys. 229, No. 24, 9188-9200 (2010). MSC: 65F15 15B57 PDFBibTeX XMLCite \textit{Y. Zhou}, J. Comput. Phys. 229, No. 24, 9188--9200 (2010; Zbl 1203.65077) Full Text: DOI
Carden, Russell A simple algorithm for the inverse field of values problem. (English) Zbl 1187.65041 Inverse Probl. 25, No. 11, Article ID 115019, 9 p. (2009). Reviewer: Janko Bračič (Ljubljana) MSC: 65F30 15A29 15A60 PDFBibTeX XMLCite \textit{R. Carden}, Inverse Probl. 25, No. 11, Article ID 115019, 9 p. (2009; Zbl 1187.65041) Full Text: DOI Link
Huang, Tsung-Ming; Lin, Wen-Wei; Qian, Jiang Structure-preserving algorithms for palindromic quadratic eigenvalue problems arising from vibration of fast trains. (English) Zbl 1180.65043 SIAM J. Matrix Anal. Appl. 30, No. 4, 1566-1592 (2009). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 15A18 65F50 70K30 PDFBibTeX XMLCite \textit{T.-M. Huang} et al., SIAM J. Matrix Anal. Appl. 30, No. 4, 1566--1592 (2009; Zbl 1180.65043) Full Text: DOI Link
Zhou, Y.; Sorensen, D. C. Approximate implicit subspace iteration with alternating directions for LTI system model reduction. (English) Zbl 1212.65258 Numer. Linear Algebra Appl. 15, No. 9, 873-886 (2008). MSC: 65K10 65F30 15A24 93B40 65F10 93B11 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{D. C. Sorensen}, Numer. Linear Algebra Appl. 15, No. 9, 873--886 (2008; Zbl 1212.65258) Full Text: DOI
Brezina, M.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sanders, G.; Vassilevski, P. A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation (SA) multigrid. (English) Zbl 1212.65149 Numer. Linear Algebra Appl. 15, No. 2-3, 249-269 (2008). MSC: 65F15 65F50 15B48 PDFBibTeX XMLCite \textit{M. Brezina} et al., Numer. Linear Algebra Appl. 15, No. 2--3, 249--269 (2008; Zbl 1212.65149) Full Text: DOI
Fritzsche, David; Mehrmann, Volker; Szyld, Daniel B.; Virnik, Elena An SVD approach to identifying metastable states of Markov chains. (English) Zbl 1171.15008 ETNA, Electron. Trans. Numer. Anal. 29(2007-2008), 46-69 (2008). MSC: 15A18 15B51 60J10 60J20 65F15 PDFBibTeX XMLCite \textit{D. Fritzsche} et al., ETNA, Electron. Trans. Numer. Anal. 29, 46--69 (2008; Zbl 1171.15008) Full Text: EuDML EMIS
Gotsman, Craig; Toledo, Sivan On the computation of null spaces of sparse rectangular matrices. (English) Zbl 1170.65029 SIAM J. Matrix Anal. Appl. 30, No. 2, 445-463 (2008). Reviewer: Michael Jung (Dresden) MSC: 65F30 15A18 65F15 65F50 PDFBibTeX XMLCite \textit{C. Gotsman} and \textit{S. Toledo}, SIAM J. Matrix Anal. Appl. 30, No. 2, 445--463 (2008; Zbl 1170.65029) Full Text: DOI
Lampe, J.; Voss, H. On a quadratic eigenproblem occurring in regularized total least squares. (English) Zbl 1393.15013 Comput. Stat. Data Anal. 52, No. 2, 1090-1102 (2007). MSC: 15A18 65F15 65F20 65F22 PDFBibTeX XMLCite \textit{J. Lampe} and \textit{H. Voss}, Comput. Stat. Data Anal. 52, No. 2, 1090--1102 (2007; Zbl 1393.15013) Full Text: DOI
Zhou, Yunkai; Saad, Yousef A Chebyshev-Davidson algorithm for large symmetric eigenproblems. (English) Zbl 1151.65321 SIAM J. Matrix Anal. Appl. 29, No. 3, 954-971 (2007). MSC: 65F15 15A18 15A23 15A90 65F25 65F50 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{Y. Saad}, SIAM J. Matrix Anal. Appl. 29, No. 3, 954--971 (2007; Zbl 1151.65321) Full Text: DOI
Ye, Qiang; Zha, Hongyuan; Li, Ren-Cang Analysis of an alignment algorithm for nonlinear dimensionality reduction. (English) Zbl 1129.62062 BIT 47, No. 4, 873-885 (2007). MSC: 62H99 62-07 15A99 62H30 65F15 15A18 PDFBibTeX XMLCite \textit{Q. Ye} et al., BIT 47, No. 4, 873--885 (2007; Zbl 1129.62062) Full Text: DOI
Fassbender, Heike; Kressner, Daniel Structured eigenvalue problems. (English) Zbl 1177.65052 GAMM-Mitt. 29, No. 2, 297-318 (2006). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{H. Fassbender} and \textit{D. Kressner}, GAMM-Mitt. 29, No. 2, 297--318 (2006; Zbl 1177.65052) Full Text: DOI Link
Benner, Peter Numerical linear algebra for model reduction in control and simulation. (English) Zbl 1157.93337 GAMM-Mitt. 29, No. 2, 275-296 (2006). MSC: 93B11 65F30 41A20 65F15 93-02 15A18 PDFBibTeX XMLCite \textit{P. Benner}, GAMM-Mitt. 29, No. 2, 275--296 (2006; Zbl 1157.93337) Full Text: DOI
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker Structured polynomial eigenvalue problems: Good vibrations from good linearizations. (English) Zbl 1132.65028 SIAM J. Matrix Anal. Appl. 28, No. 4, 1029-1051 (2006). Reviewer: E. Kreyszig (Ottawa) MSC: 65F15 15A18 15B57 93B60 15A54 PDFBibTeX XMLCite \textit{D. S. Mackey} et al., SIAM J. Matrix Anal. Appl. 28, No. 4, 1029--1051 (2006; Zbl 1132.65028) Full Text: DOI Link
Shah, Mili I.; Sorensen, Danny C. A symmetry preserving singular value decomposition. (English) Zbl 1124.65042 SIAM J. Matrix Anal. Appl. 28, No. 3, 749-769 (2006). Reviewer: Reinhold Kainhofer (Wien) MSC: 65F20 15A18 62H25 92D20 PDFBibTeX XMLCite \textit{M. I. Shah} and \textit{D. C. Sorensen}, SIAM J. Matrix Anal. Appl. 28, No. 3, 749--769 (2006; Zbl 1124.65042) Full Text: DOI Link
Kressner, Daniel A periodic Krylov-Schur algorithm for large matrix products. (English) Zbl 1094.65027 Numer. Math. 103, No. 3, 461-483 (2006). MSC: 65F15 65F50 15-04 PDFBibTeX XMLCite \textit{D. Kressner}, Numer. Math. 103, No. 3, 461--483 (2006; Zbl 1094.65027) Full Text: DOI Link
Boutry, Gregory; Elad, Michael; Golub, Gene H.; Milanfar, Peyman The generalized eigenvalue problem for nonsquare pencils using a minimal perturbation approach. (English) Zbl 1100.65035 SIAM J. Matrix Anal. Appl. 27, No. 2, 582-601 (2005). Reviewer: E. Kreyszig (Ottawa) MSC: 65F15 15A18 15A22 PDFBibTeX XMLCite \textit{G. Boutry} et al., SIAM J. Matrix Anal. Appl. 27, No. 2, 582--601 (2005; Zbl 1100.65035) Full Text: DOI
Beattie, Christopher A.; Embree, Mark; Sorensen, D. C. Convergence of polynomial restart Krylov methods for eigenvalue computations. (English) Zbl 1073.65028 SIAM Rev. 47, No. 3, 492-515 (2005). Reviewer: Ferenc Szidarovszky (Tucson) MSC: 65F15 15A18 15A60 30E10 47A15 PDFBibTeX XMLCite \textit{C. A. Beattie} et al., SIAM Rev. 47, No. 3, 492--515 (2005; Zbl 1073.65028) Full Text: DOI
Kreßner, Daniel Numerical methods and software for general and structured eigenvalue problems. (English) Zbl 1213.65062 Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.). 267 p. (2004). MSC: 65F15 15-04 PDFBibTeX XMLCite \textit{D. Kreßner}, Numerical methods and software for general and structured eigenvalue problems. Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.) (2004; Zbl 1213.65062) Full Text: Link
Burke, J. V.; Lewis, A. S.; Overton, M. L. Pseudospectral components and the distance to uncontrollability. (English) Zbl 1078.93008 SIAM J. Matrix Anal. Appl. 26, No. 2, 350-361 (2004). Reviewer: Ralf Gramlich (Darmstadt) MSC: 93B05 15A18 65F15 PDFBibTeX XMLCite \textit{J. V. Burke} et al., SIAM J. Matrix Anal. Appl. 26, No. 2, 350--361 (2004; Zbl 1078.93008) Full Text: DOI
Baglama, J.; Calvetti, D.; Reichel, L. Algorithm 827: irbleigs: a Matlab program for computing a few eigenpairs of a large sparse Hermitian matrix. (English) Zbl 1070.65529 ACM Trans. Math. Softw. 29, No. 3, 337-348 (2003). MSC: 65F15 65F50 15-04 65Y15 PDFBibTeX XMLCite \textit{J. Baglama} et al., ACM Trans. Math. Softw. 29, No. 3, 337--348 (2003; Zbl 1070.65529) Full Text: DOI
Hwang, Tsung-Min; Lin, Wen-Wei; Mehrmann, Volker Numerical solution of quadratic eigenvalue problems with structure-preserving methods. (English) Zbl 1048.65035 SIAM J. Sci. Comput. 24, No. 4, 1283-1302 (2003). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 65F50 47A15 15A22 PDFBibTeX XMLCite \textit{T.-M. Hwang} et al., SIAM J. Sci. Comput. 24, No. 4, 1283--1302 (2003; Zbl 1048.65035) Full Text: DOI
Lui, S.-H. A pseudospectral mapping theorem. (English) Zbl 1031.15012 Math. Comput. 72, No. 244, 1841-1854 (2003). Reviewer: Pei Yuan Wu (Hsinchu) MSC: 15A18 15A60 65F15 PDFBibTeX XMLCite \textit{S. H. Lui}, Math. Comput. 72, No. 244, 1841--1854 (2003; Zbl 1031.15012) Full Text: DOI
Higham, Nicholas J.; Tisseur, Françoise Bounds for eigenvalues of matrix polynomials. (English) Zbl 1055.15030 Linear Algebra Appl. 358, No. 1-3, 5-22 (2003). Reviewer: Jane M. Day (San José) MSC: 15A42 15A54 65F15 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{F. Tisseur}, Linear Algebra Appl. 358, No. 1--3, 5--22 (2003; Zbl 1055.15030) Full Text: DOI
Sorensen, D. C.; Antoulas, A. C. The Sylvester equation and approximate balanced reduction. (English) Zbl 1023.93012 Linear Algebra Appl. 351-352, 671-700 (2002). Reviewer: L.Rodman (Williamsburg) MSC: 93B11 15A24 93B20 41A05 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{A. C. Antoulas}, Linear Algebra Appl. 351--352, 671--700 (2002; Zbl 1023.93012) Full Text: DOI
Higham, Nicholas J.; Tisseur, Françoise More on pseudospectra for polynomial eigenvalue problems and applications in control theory. (English) Zbl 1004.65046 Linear Algebra Appl. 351-352, 435-453 (2002). Reviewer: Miloslav Znojil (Řež) MSC: 65F15 15A22 93B60 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{F. Tisseur}, Linear Algebra Appl. 351--352, 435--453 (2002; Zbl 1004.65046) Full Text: DOI
Embree, Mark; Trefethen, Lloyd N. Generalizing eigenvalue theorems to pseudospectra theorems. (English) Zbl 0995.15003 SIAM J. Sci. Comput. 23, No. 2, 583-590 (2001). Reviewer: Jitka Drkošova (Praha) MSC: 15A18 65F10 15A60 PDFBibTeX XMLCite \textit{M. Embree} and \textit{L. N. Trefethen}, SIAM J. Sci. Comput. 23, No. 2, 583--590 (2001; Zbl 0995.15003) Full Text: DOI
Tisseur, Françoise; Higham, Nicholas J. Structured pseudospectra for polynomial eigenvalue problems, with applications. (English) Zbl 0996.65042 SIAM J. Matrix Anal. Appl. 23, No. 1, 187-208 (2001). Reviewer: Liu Xinguo (Qingdao) MSC: 65F15 15A22 PDFBibTeX XMLCite \textit{F. Tisseur} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 23, No. 1, 187--208 (2001; Zbl 0996.65042) Full Text: DOI
Lehoucq, R. B.; Sorensen, D. C.; Yang, C. ARPACK user’s guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. (English) Zbl 0901.65021 Software - Environments - Tools, 6. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 142 p. (1998). Reviewer: P.Narain (Bombay) MSC: 65F15 65-02 15-04 PDFBibTeX XMLCite \textit{R. B. Lehoucq} et al., ARPACK user's guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. Philadelphia, PA: SIAM (1998; Zbl 0901.65021) Full Text: DOI