Lu, Song; Xu, Xianmin Numerical investigations on trace finite element methods for the Laplace-Beltrami eigenvalue problem. (English) Zbl 1522.65194 J. Sci. Comput. 97, No. 1, Paper No. 12, 31 p. (2023). MSC: 65N25 65N30 65F15 65F22 47A55 15A18 58J50 PDFBibTeX XMLCite \textit{S. Lu} and \textit{X. Xu}, J. Sci. Comput. 97, No. 1, Paper No. 12, 31 p. (2023; Zbl 1522.65194) Full Text: DOI arXiv
Baglama, James; Perović, Vasilije Explicit deflation in Golub-Kahan-Lanczos bidiagonalization methods. (English) Zbl 1512.65059 ETNA, Electron. Trans. Numer. Anal. 58, 164-176 (2023). MSC: 65F15 65F50 15A18 PDFBibTeX XMLCite \textit{J. Baglama} and \textit{V. Perović}, ETNA, Electron. Trans. Numer. Anal. 58, 164--176 (2023; Zbl 1512.65059) Full Text: DOI Link
Jia, Zhongxiao; Li, Haibo The joint bidiagonalization method for large GSVD computations in finite precision. (English) Zbl 1516.65029 SIAM J. Matrix Anal. Appl. 44, No. 1, 382-407 (2023). MSC: 65F15 65F20 65F25 15A18 65F50 65G50 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{H. Li}, SIAM J. Matrix Anal. Appl. 44, No. 1, 382--407 (2023; Zbl 1516.65029) Full Text: DOI arXiv
Mele, Giampaolo The infinite Lanczos method for symmetric nonlinear eigenvalue problems. (English) Zbl 07668048 Calcolo 60, No. 2, Paper No. 19, 24 p. (2023). MSC: 47J10 35P30 65H17 65F60 15A18 65F15 PDFBibTeX XMLCite \textit{G. Mele}, Calcolo 60, No. 2, Paper No. 19, 24 p. (2023; Zbl 07668048) Full Text: DOI arXiv
Petkov, Petko H. Jordan-Schur algorithms for computing the matrix exponential. (English) Zbl 07665365 Int. J. Math. Math. Sci. 2023, Article ID 4908185, 17 p. (2023). MSC: 65Fxx 15Axx 65Dxx PDFBibTeX XMLCite \textit{P. H. Petkov}, Int. J. Math. Math. Sci. 2023, Article ID 4908185, 17 p. (2023; Zbl 07665365) Full Text: DOI
Kressner, Daniel; Šain Glibić, Ivana Singular quadratic eigenvalue problems: linearization and weak condition numbers. (English) Zbl 1508.65033 BIT 63, No. 1, Paper No. 18, 25 p. (2023). MSC: 65F15 15A18 65F35 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{I. Šain Glibić}, BIT 63, No. 1, Paper No. 18, 25 p. (2023; Zbl 1508.65033) Full Text: DOI arXiv
Huang, Jinzhi; Jia, Zhongxiao A cross-product free Jacobi-Davidson type method for computing a partial generalized singular value decomposition of a large matrix pair. (English) Zbl 1507.65080 J. Sci. Comput. 94, No. 1, Paper No. 3, 32 p. (2023). MSC: 65F15 15A18 15A12 65F10 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Jia}, J. Sci. Comput. 94, No. 1, Paper No. 3, 32 p. (2023; Zbl 1507.65080) 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
Wang, Yuchao; Wei, Yimin Generalized eigenvalue for even order tensors via Einstein product and its applications in multilinear control systems. (English) Zbl 1513.15022 Comput. Appl. Math. 41, No. 8, Paper No. 419, 30 p. (2022). MSC: 15A18 15A69 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Y. Wei}, Comput. Appl. Math. 41, No. 8, Paper No. 419, 30 p. (2022; Zbl 1513.15022) 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
Huang, Jinzhi; Jia, Zhongxiao Two harmonic Jacobi-Davidson methods for computing a partial generalized singular value decomposition of a large matrix pair. (English) Zbl 1502.65014 J. Sci. Comput. 93, No. 2, Paper No. 41, 29 p. (2022). MSC: 65F15 15A18 65F20 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Jia}, J. Sci. Comput. 93, No. 2, Paper No. 41, 29 p. (2022; Zbl 1502.65014) Full Text: DOI arXiv
Jia, Zhongxiao Theoretical and computable optimal subspace expansions for matrix eigenvalue problems. (English) Zbl 1492.65087 SIAM J. Matrix Anal. Appl. 43, No. 2, 584-604 (2022). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{Z. Jia}, SIAM J. Matrix Anal. Appl. 43, No. 2, 584--604 (2022; Zbl 1492.65087) Full Text: DOI arXiv
Nechepurenko, Yuri M.; Zasko, Grigory V. Constant upper bounds on the matrix exponential norm. (English) Zbl 1485.65051 Russ. J. Numer. Anal. Math. Model. 37, No. 1, 15-23 (2022). MSC: 65F60 15A45 15A60 65F35 PDFBibTeX XMLCite \textit{Y. M. Nechepurenko} and \textit{G. V. Zasko}, Russ. J. Numer. Anal. Math. Model. 37, No. 1, 15--23 (2022; Zbl 1485.65051) 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
Huang, Rong Accurate computation of generalized eigenvalues of regular SR-BP pairs. (English) Zbl 1480.65081 SIAM J. Matrix Anal. Appl. 42, No. 4, 1680-1702 (2021). MSC: 65F15 65G50 15A18 15A22 15B05 PDFBibTeX XMLCite \textit{R. Huang}, SIAM J. Matrix Anal. Appl. 42, No. 4, 1680--1702 (2021; Zbl 1480.65081) Full Text: DOI
Baglama, James; Bella, Tom; Picucci, Jennifer Hybrid iterative refined method for computing a few extreme eigenpairs of a symmetric matrix. (English) Zbl 1490.65058 SIAM J. Sci. Comput. 43, No. 5, S200-S224 (2021). MSC: 65F15 65F50 15A18 PDFBibTeX XMLCite \textit{J. Baglama} et al., SIAM J. Sci. Comput. 43, No. 5, S200--S224 (2021; Zbl 1490.65058) Full Text: DOI
Baglama, James; Bella, Tom; Picucci, Jennifer Hybrid iterative refined method for computing a few extreme eigenpairs of a symmetric matrix. (English) Zbl 1512.65058 SIAM J. Sci. Comput. 43, No. 3, S200-S224 (2021). MSC: 65F15 65F50 15A18 PDFBibTeX XMLCite \textit{J. Baglama} et al., SIAM J. Sci. Comput. 43, No. 3, S200--S224 (2021; Zbl 1512.65058) Full Text: DOI
Huang, Jinzhi; Jia, Zhongxiao On choices of formulations of computing the generalized singular value decomposition of a large matrix pair. (English) Zbl 1465.65027 Numer. Algorithms 87, No. 2, 689-718 (2021). MSC: 65F15 65F35 15A12 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Jia}, Numer. Algorithms 87, No. 2, 689--718 (2021; Zbl 1465.65027) Full Text: DOI arXiv
Mitchell, Tim Computing the Kreiss constant of a matrix. (English) Zbl 1464.65044 SIAM J. Matrix Anal. Appl. 41, No. 4, 1944-1975 (2020). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{T. Mitchell}, SIAM J. Matrix Anal. Appl. 41, No. 4, 1944--1975 (2020; Zbl 1464.65044) Full Text: DOI arXiv
Lu, Ding Nonlinear eigenvector methods for convex minimization over the numerical range. (English) Zbl 1461.65048 SIAM J. Matrix Anal. Appl. 41, No. 4, 1771-1796 (2020). MSC: 65F15 15A60 PDFBibTeX XMLCite \textit{D. Lu}, SIAM J. Matrix Anal. Appl. 41, No. 4, 1771--1796 (2020; Zbl 1461.65048) Full Text: DOI
Blekherman, Grigoriy; Kummer, Mario; Riener, Cordian; Schweighofer, Markus; Vinzant, Cynthia Generalized eigenvalue methods for Gaussian quadrature rules. (Méthodes de valeurs propres généralisées pour les formules de quadrature de Gauss.) (English. French summary) Zbl 1458.65023 Ann. Henri Lebesgue 3, 1327-1341 (2020). MSC: 65D32 14H50 15A22 PDFBibTeX XMLCite \textit{G. Blekherman} et al., Ann. Henri Lebesgue 3, 1327--1341 (2020; Zbl 1458.65023) Full Text: DOI arXiv
Ravibabu, Mashetti; Singh, Arindama The least squares and line search in extracting eigenpairs in Jacobi-Davidson method. (English) Zbl 1455.65057 BIT 60, No. 4, 1033-1055 (2020). MSC: 65F15 15A18 15A60 PDFBibTeX XMLCite \textit{M. Ravibabu} and \textit{A. Singh}, BIT 60, No. 4, 1033--1055 (2020; Zbl 1455.65057) Full Text: DOI
Wang, Li; Zhang, Lei-hong; Bai, Zhaojun; Li, Ren-Cang Orthogonal canonical correlation analysis and applications. (English) Zbl 1455.65059 Optim. Methods Softw. 35, No. 4, 787-807 (2020). MSC: 65F15 15A18 65K05 90C90 PDFBibTeX XMLCite \textit{L. Wang} et al., Optim. Methods Softw. 35, No. 4, 787--807 (2020; Zbl 1455.65059) Full Text: DOI
Campos, Carmen; Roman, Jose E. A polynomial Jacobi-Davidson solver with support for non-monomial bases and deflation. (English) Zbl 1442.65054 BIT 60, No. 2, 295-318 (2020). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 15A18 65F50 PDFBibTeX XMLCite \textit{C. Campos} and \textit{J. E. Roman}, BIT 60, No. 2, 295--318 (2020; Zbl 1442.65054) Full Text: DOI
Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens A numerical comparison of different solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems. (English) Zbl 1437.65021 SIAM J. Sci. Comput. 42, No. 2, A957-A996 (2020). MSC: 65F45 65F55 15A24 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Sci. Comput. 42, No. 2, A957--A996 (2020; Zbl 1437.65021) Full Text: DOI arXiv
Aishima, Kensuke Convergence proof of the harmonic Ritz pairs of iterative projection methods with restart strategies for symmetric eigenvalue problems. (English) Zbl 1445.65008 Japan J. Ind. Appl. Math. 37, No. 2, 415-431 (2020). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 15A18 65H17 PDFBibTeX XMLCite \textit{K. Aishima}, Japan J. Ind. Appl. Math. 37, No. 2, 415--431 (2020; Zbl 1445.65008) Full Text: DOI
Nakatsukasa, Yuji Sharp error bounds for Ritz vectors and approximate singular vectors. (English) Zbl 1441.65038 Math. Comput. 89, No. 324, 1843-1866 (2020). Reviewer: Jorma K. Merikoski (Tampere) MSC: 65F15 15A18 15A42 PDFBibTeX XMLCite \textit{Y. Nakatsukasa}, Math. Comput. 89, No. 324, 1843--1866 (2020; Zbl 1441.65038) Full Text: DOI arXiv
Jia, Zhongxiao Approximation accuracy of the Krylov subspaces for linear discrete ill-posed problems. (English) Zbl 1434.65043 J. Comput. Appl. Math. 374, Article ID 112786, 25 p. (2020). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 15A18 65F10 65F20 65R32 65J20 65J22 65R30 47A52 15A29 45Q05 86A22 PDFBibTeX XMLCite \textit{Z. Jia}, J. Comput. Appl. Math. 374, Article ID 112786, 25 p. (2020; Zbl 1434.65043) Full Text: DOI arXiv
Fukaya, Takeshi; Kannan, Ramaseshan; Nakatsukasa, Yuji; Yamamoto, Yusaku; Yanagisawa, Yuka Shifted Cholesky QR for computing the QR factorization of ill-conditioned matrices. (English) Zbl 1434.65041 SIAM J. Sci. Comput. 42, No. 1, A477-A503 (2020). MSC: 65F22 15A23 65F15 15A18 65G50 PDFBibTeX XMLCite \textit{T. Fukaya} et al., SIAM J. Sci. Comput. 42, No. 1, A477--A503 (2020; Zbl 1434.65041) Full Text: DOI arXiv
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
Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor Solving singular generalized eigenvalue problems by a rank-completing perturbation. (English) Zbl 1435.65056 SIAM J. Matrix Anal. Appl. 40, No. 3, 1022-1046 (2019). MSC: 65F15 15A18 15A22 15A21 47A55 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 1022--1046 (2019; Zbl 1435.65056) Full Text: DOI arXiv
Yin, Guojian A harmonic FEAST algorithm for non-Hermitian generalized eigenvalue problems. (English) Zbl 1431.65048 Linear Algebra Appl. 578, 75-94 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{G. Yin}, Linear Algebra Appl. 578, 75--94 (2019; Zbl 1431.65048) Full Text: DOI
Goldenberg, Steven; Stathopoulos, Andreas; Romero, Eloy A Golub-Kahan Davidson method for accurately computing a few singular triplets of large sparse matrices. (English) Zbl 1420.65047 SIAM J. Sci. Comput. 41, No. 4, A2172-A2192 (2019). MSC: 65F15 15A04 PDFBibTeX XMLCite \textit{S. Goldenberg} et al., SIAM J. Sci. Comput. 41, No. 4, A2172--A2192 (2019; Zbl 1420.65047) Full Text: DOI
Zemaityte, Mante; Tisseur, Françoise; Kannan, Ramaseshan Filtering frequencies in a shift-and-invert Lanczos algorithm for the dynamic analysis of structures. (English) Zbl 1420.65052 SIAM J. Sci. Comput. 41, No. 3, B601-B624 (2019). MSC: 65F15 15A18 15A22 PDFBibTeX XMLCite \textit{M. Zemaityte} et al., SIAM J. Sci. Comput. 41, No. 3, B601--B624 (2019; Zbl 1420.65052) Full Text: DOI
Liu, J.; Sun, J.; Turner, T. Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem. (English) Zbl 1422.65361 J. Sci. Comput. 79, No. 3, 1814-1831 (2019). MSC: 65N25 65N30 65N12 35P25 35P30 65F10 65F15 15A18 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Sci. Comput. 79, No. 3, 1814--1831 (2019; Zbl 1422.65361) Full Text: DOI arXiv
Yin, Guojian A contour-integral based method for counting the eigenvalues inside a region. (English) Zbl 1417.65117 J. Sci. Comput. 78, No. 3, 1942-1961 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{G. Yin}, J. Sci. Comput. 78, No. 3, 1942--1961 (2019; Zbl 1417.65117) Full Text: DOI
Yin, Guojian On the non-Hermitian FEAST algorithms with oblique projection for eigenvalue problems. (English) Zbl 1415.65094 J. Comput. Appl. Math. 355, 23-35 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{G. Yin}, J. Comput. Appl. Math. 355, 23--35 (2019; Zbl 1415.65094) Full Text: DOI
Huhtanen, Marko; Kotila, Vesa Optimal quotients for solving large eigenvalue problems. (English) Zbl 1454.65023 BIT 59, No. 1, 125-154 (2019). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 15A22 15A60 76W05 PDFBibTeX XMLCite \textit{M. Huhtanen} and \textit{V. Kotila}, BIT 59, No. 1, 125--154 (2019; Zbl 1454.65023) Full Text: DOI Link
Bai, Zhaojun; Lu, Ding; Vandereycken, Bart Robust Rayleigh quotient minimization and nonlinear eigenvalue problems. (English) Zbl 1416.65148 SIAM J. Sci. Comput. 40, No. 5, A3495-A3522 (2018). MSC: 65H17 65F15 15A18 47J10 65K05 PDFBibTeX XMLCite \textit{Z. Bai} et al., SIAM J. Sci. Comput. 40, No. 5, A3495--A3522 (2018; Zbl 1416.65148) Full Text: DOI
Xue, Fei A block preconditioned harmonic projection method for large-scale nonlinear eigenvalue problems. (English) Zbl 1391.65092 SIAM J. Sci. Comput. 40, No. 3, A1809-A1835 (2018). MSC: 65F15 65F50 15A18 15A22 PDFBibTeX XMLCite \textit{F. Xue}, SIAM J. Sci. Comput. 40, No. 3, A1809--A1835 (2018; Zbl 1391.65092) Full Text: DOI
Lin, Matthew M.; Chiang, Chun-Yueh An iterative method for solving the stable subspace of a matrix pencil and its application. (English) Zbl 1398.65063 Linear Multilinear Algebra 66, No. 7, 1279-1298 (2018). Reviewer: Mihail Voicu (Iaşi) MSC: 65F15 15A22 15A18 15A24 PDFBibTeX XMLCite \textit{M. M. Lin} and \textit{C.-Y. Chiang}, Linear Multilinear Algebra 66, No. 7, 1279--1298 (2018; Zbl 1398.65063) Full Text: DOI
Mele, Giampaolo; Jarlebring, Elias On restarting the tensor infinite Arnoldi method. (English) Zbl 1386.65132 BIT 58, No. 1, 133-162 (2018). MSC: 65F60 35P30 65H17 15A18 65F15 PDFBibTeX XMLCite \textit{G. Mele} and \textit{E. Jarlebring}, BIT 58, No. 1, 133--162 (2018; Zbl 1386.65132) Full Text: DOI arXiv
Zhang, Lei-Hong; Shen, Chungen; Yang, Wei Hong; Júdice, Joaquim J. A Lanczos method for large-scale extreme Lorentz eigenvalue problems. (English) Zbl 1390.90543 SIAM J. Matrix Anal. Appl. 39, No. 2, 611-631 (2018). MSC: 90C33 47J20 15A18 90C06 65F15 PDFBibTeX XMLCite \textit{L.-H. Zhang} et al., SIAM J. Matrix Anal. Appl. 39, No. 2, 611--631 (2018; Zbl 1390.90543) Full Text: DOI
Kressner, Daniel; Luce, Robert Fast computation of the matrix exponential for a Toeplitz matrix. (English) Zbl 1386.65131 SIAM J. Matrix Anal. Appl. 39, No. 1, 23-47 (2018). MSC: 65F60 15B05 65Y20 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{R. Luce}, SIAM J. Matrix Anal. Appl. 39, No. 1, 23--47 (2018; Zbl 1386.65131) Full Text: DOI arXiv
Dax, Achiya The numerical rank of Krylov matrices. (English) Zbl 1398.15003 Linear Algebra Appl. 528, 185-205 (2017). MSC: 15A03 15A24 15B57 65F15 65F25 PDFBibTeX XMLCite \textit{A. Dax}, Linear Algebra Appl. 528, 185--205 (2017; Zbl 1398.15003) Full Text: DOI
Nakatsukasa, Yuji Accuracy of singular vectors obtained by projection-based SVD methods. (English) Zbl 1386.65116 BIT 57, No. 4, 1137-1152 (2017). Reviewer: Vasilis Dimitriou (Chania) MSC: 65F20 15A18 15A42 PDFBibTeX XMLCite \textit{Y. Nakatsukasa}, BIT 57, No. 4, 1137--1152 (2017; Zbl 1386.65116) Full Text: DOI
Spantini, Alessio; Cui, Tiangang; Willcox, Karen; Tenorio, Luis; Marzouk, Youssef Goal-oriented optimal approximations of Bayesian linear inverse problems. (English) Zbl 1373.15027 SIAM J. Sci. Comput. 39, No. 5, S167-S196 (2017). MSC: 15A29 62F15 68W25 PDFBibTeX XMLCite \textit{A. Spantini} et al., SIAM J. Sci. Comput. 39, No. 5, S167--S196 (2017; Zbl 1373.15027) Full Text: DOI arXiv
Wang, Xiang; Tang, Xiao-Bin; Mao, Liang-Zhi A modified second-order Arnoldi method for solving the quadratic eigenvalue problems. (English) Zbl 1368.65059 Comput. Math. Appl. 73, No. 2, 327-338 (2017). MSC: 65F15 65H17 15A24 PDFBibTeX XMLCite \textit{X. Wang} et al., Comput. Math. Appl. 73, No. 2, 327--338 (2017; Zbl 1368.65059) Full Text: DOI
Wang, Wei-Guo; Wei, Yimin Mixed and componentwise condition numbers for matrix decompositions. (English) Zbl 1375.65048 Theor. Comput. Sci. 681, 199-216 (2017). MSC: 65F05 15A23 65F35 PDFBibTeX XMLCite \textit{W.-G. Wang} and \textit{Y. Wei}, Theor. Comput. Sci. 681, 199--216 (2017; Zbl 1375.65048) Full Text: DOI
Campos, Carmen; Roman, Jose E. Parallel Krylov solvers for the polynomial eigenvalue problem in SLEPc. (English) Zbl 1352.65116 SIAM J. Sci. Comput. 38, No. 5, S385-S411 (2016). MSC: 65F15 65F50 65Y05 15A54 PDFBibTeX XMLCite \textit{C. Campos} and \textit{J. E. Roman}, SIAM J. Sci. Comput. 38, No. 5, S385--S411 (2016; Zbl 1352.65116) Full Text: DOI
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
Higham, Nicholas J.; Strabić, Nataša Bounds for the distance to the nearest correlation matrix. (English) Zbl 1347.65075 SIAM J. Matrix Anal. Appl. 37, No. 3, 1088-1102 (2016). MSC: 65F30 62H20 15B48 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{N. Strabić}, SIAM J. Matrix Anal. Appl. 37, No. 3, 1088--1102 (2016; Zbl 1347.65075) Full Text: DOI
Nakatsukasa, Yuji; Freund, Roland W. Computing fundamental matrix decompositions accurately via the matrix sign function in two iterations: the power of Zolotarev’s functions. (English) Zbl 1383.15012 SIAM Rev. 58, No. 3, 461-493 (2016). MSC: 15A23 65F15 65F30 65G50 PDFBibTeX XMLCite \textit{Y. Nakatsukasa} and \textit{R. W. Freund}, SIAM Rev. 58, No. 3, 461--493 (2016; Zbl 1383.15012) 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
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
Meerbergen, Karl; Plestenjak, Bor A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants. (English) Zbl 1349.65122 Numer. Linear Algebra Appl. 22, No. 6, 1131-1146 (2015). Reviewer: Edgar Pereira (Natal) MSC: 65F10 15A18 15A24 65F15 PDFBibTeX XMLCite \textit{K. Meerbergen} and \textit{B. Plestenjak}, Numer. Linear Algebra Appl. 22, No. 6, 1131--1146 (2015; Zbl 1349.65122) Full Text: DOI Link
Yamamoto, Yusaku; Nakatsukasa, Yuji; Yanagisawa, Yuka; Fukaya, Takeshi Roundoff error analysis of the CholeskyQR2 algorithm. (English) Zbl 1330.65049 ETNA, Electron. Trans. Numer. Anal. 44, 306-326 (2015). MSC: 65F05 65F35 65G50 15A23 PDFBibTeX XMLCite \textit{Y. Yamamoto} et al., ETNA, Electron. Trans. Numer. Anal. 44, 306--326 (2015; Zbl 1330.65049) Full Text: EMIS
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
Hnětynková, Iveta; Plešinger, Martin Complex wedge-shaped matrices: a generalization of Jacobi matrices. (English) Zbl 1325.15005 Linear Algebra Appl. 487, 203-219 (2015). MSC: 15A18 15B57 65F15 PDFBibTeX XMLCite \textit{I. Hnětynková} and \textit{M. Plešinger}, Linear Algebra Appl. 487, 203--219 (2015; Zbl 1325.15005) Full Text: DOI
Naumov, M.; Arsaev, M.; Castonguay, P.; Cohen, J.; Demouth, J.; Eaton, J.; Layton, S.; Markovskiy, N.; Reguly, I.; Sakharnykh, N.; Sellappan, V.; Strzodka, R. AmgX: a library for GPU accelerated algebraic multigrid and preconditioned iterative methods. (English) Zbl 1325.65065 SIAM J. Sci. Comput. 37, No. 5, S602-S626 (2015). MSC: 65F50 15-04 65F08 05C15 PDFBibTeX XMLCite \textit{M. Naumov} et al., SIAM J. Sci. Comput. 37, No. 5, S602--S626 (2015; Zbl 1325.65065) Full Text: DOI Link
Aishima, Kensuke Global convergence of the restarted Lanczos and Jacobi-Davidson methods for symmetric eigenvalue problems. (English) Zbl 1325.65050 Numer. Math. 131, No. 3, 405-423 (2015). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{K. Aishima}, Numer. Math. 131, No. 3, 405--423 (2015; Zbl 1325.65050) Full Text: DOI
Ding, Weiyang; Wei, Yimin Generalized tensor eigenvalue problems. (English) Zbl 1321.15018 SIAM J. Matrix Anal. Appl. 36, No. 3, 1073-1099 (2015). MSC: 15A18 15A69 15A42 15A60 PDFBibTeX XMLCite \textit{W. Ding} and \textit{Y. Wei}, SIAM J. Matrix Anal. Appl. 36, No. 3, 1073--1099 (2015; Zbl 1321.15018) Full Text: DOI
Neymeyr, Klaus; Zhou, Ming Iterative minimization of the Rayleigh quotient by block steepest descent iterations. (English) Zbl 1340.65061 Numer. Linear Algebra Appl. 21, No. 5, 604-617 (2014). Reviewer: Martin Plešinger (Liberec) MSC: 65F15 15A18 15A42 PDFBibTeX XMLCite \textit{K. Neymeyr} and \textit{M. Zhou}, Numer. Linear Algebra Appl. 21, No. 5, 604--617 (2014; Zbl 1340.65061) Full Text: DOI
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
Biloti, R.; Matioli, L. C.; Yuan, Jinyun A short note on a generalization of the Givens transformation. (English) Zbl 1391.65101 Comput. Math. Appl. 66, No. 1, 56-61 (2013). MSC: 65F25 15A21 65F15 65F35 PDFBibTeX XMLCite \textit{R. Biloti} et al., Comput. Math. Appl. 66, No. 1, 56--61 (2013; Zbl 1391.65101) 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
Xia, Jianlin Efficient structured multifrontal factorization for general large sparse matrices. (English) Zbl 1266.15022 SIAM J. Sci. Comput. 35, No. 2, A832-A860 (2013). MSC: 15A23 65F05 65F30 65F50 PDFBibTeX XMLCite \textit{J. Xia}, SIAM J. Sci. Comput. 35, No. 2, A832--A860 (2013; Zbl 1266.15022) Full Text: DOI Link
Shi, Xinghua; Wei, Yimin A sharp version of Bauer-Fike’s theorem. (English) Zbl 1247.15017 J. Comput. Appl. Math. 236, No. 13, 3218-3227 (2012). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A42 15A09 65F20 93B55 93D05 PDFBibTeX XMLCite \textit{X. Shi} and \textit{Y. Wei}, J. Comput. Appl. Math. 236, No. 13, 3218--3227 (2012; Zbl 1247.15017) Full Text: DOI
Chen, Xiao Shan; Li, Wen; Xu, Wei Wei Perturbation analysis of the eigenvector matrix and singular vector matrices. (English) Zbl 1242.65064 Taiwanese J. Math. 16, No. 1, 179-194 (2012). Reviewer: Liu Xinguo (Qingdao) MSC: 65F15 65F20 15A18 PDFBibTeX XMLCite \textit{X. S. Chen} et al., Taiwanese J. Math. 16, No. 1, 179--194 (2012; Zbl 1242.65064) Full Text: DOI Link
Nakatsukasa, Yuji The tan \(\theta \) theorem with relaxed conditions. (English) Zbl 1244.15013 Linear Algebra Appl. 436, No. 5, 1528-1534 (2012). Reviewer: Fozi Dannan (Damascus) MSC: 15A42 PDFBibTeX XMLCite \textit{Y. Nakatsukasa}, Linear Algebra Appl. 436, No. 5, 1528--1534 (2012; Zbl 1244.15013) Full Text: DOI
Nakatsukasa, Yuji Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices. (English) Zbl 1234.15005 Appl. Numer. Math. 62, No. 1, 67-78 (2012). Reviewer: Grozio Stanilov (Sofia) MSC: 15A42 15B57 65F15 65F50 PDFBibTeX XMLCite \textit{Y. Nakatsukasa}, Appl. Numer. Math. 62, No. 1, 67--78 (2012; Zbl 1234.15005) Full Text: DOI arXiv
Avdonin, Sergei; Bulanova, Anna Boundary control approach to the spectral estimation problem: the case of multiple poles. (English) Zbl 1248.93076 Math. Control Signals Syst. 22, No. 3, 245-265 (2011). MSC: 93B60 93B30 94A12 93C55 15A22 PDFBibTeX XMLCite \textit{S. Avdonin} and \textit{A. Bulanova}, Math. Control Signals Syst. 22, No. 3, 245--265 (2011; Zbl 1248.93076) Full Text: DOI
Nakatsukasa, Yuji Gerschgorin’s theorem for generalized eigenvalue problems in the Euclidean metric. (English) Zbl 1230.15012 Math. Comput. 80, No. 276, 2127-2142 (2011). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A42 15A22 65F15 PDFBibTeX XMLCite \textit{Y. Nakatsukasa}, Math. Comput. 80, No. 276, 2127--2142 (2011; Zbl 1230.15012) Full Text: DOI arXiv
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
Simoncini, Valeria; Szyld, Daniel B. Interpreting IDR as a Petrov-Galerkin method. (English) Zbl 1219.65039 SIAM J. Sci. Comput. 32, No. 4, 1898-1912 (2010). MSC: 65F10 15A06 65F50 PDFBibTeX XMLCite \textit{V. Simoncini} and \textit{D. B. Szyld}, SIAM J. Sci. Comput. 32, No. 4, 1898--1912 (2010; Zbl 1219.65039) Full Text: DOI
Lee, Spike T.; Pang, Hong-Kui; Sun, Hai-Wei Shift-invert Arnoldi approximation to the Toeplitz matrix exponential. (English) Zbl 1210.65079 SIAM J. Sci. Comput. 32, No. 2, 774-792 (2010). MSC: 65F10 15B05 15A16 65F15 PDFBibTeX XMLCite \textit{S. T. Lee} et al., SIAM J. Sci. Comput. 32, No. 2, 774--792 (2010; Zbl 1210.65079) Full Text: DOI Link
Xia, Jianlin; Gu, Ming Robust approximate Cholesky factorization of rank-structured symmetric positive definite matrices. (English) Zbl 1217.65061 SIAM J. Matrix Anal. Appl. 31, No. 5, 2899-2920 (2010). Reviewer: Edgar Pereira (Covilha) MSC: 65F05 15A12 65F08 15B48 PDFBibTeX XMLCite \textit{J. Xia} and \textit{M. Gu}, SIAM J. Matrix Anal. Appl. 31, No. 5, 2899--2920 (2010; Zbl 1217.65061) Full Text: DOI Link
Xue, Fei; Elman, Howard C. Convergence analysis of iterative solvers in inexact Rayleigh quotient iteration. (English) Zbl 1201.65060 SIAM J. Matrix Anal. Appl. 31(2009), No. 3, 877-899 (2010). Reviewer: R. Militaru (Craiova) MSC: 65F15 65F08 65F10 15B48 PDFBibTeX XMLCite \textit{F. Xue} and \textit{H. C. Elman}, SIAM J. Matrix Anal. Appl. 31, No. 3, 877--899 (2010; Zbl 1201.65060) Full Text: DOI
Karow, Michael; Kokiopoulou, Effrosyni; Kressner, Daniel On the computation of structured singular values and pseudospectra. (English) Zbl 1186.93032 Syst. Control Lett. 59, No. 2, 122-129 (2010). MSC: 93B60 15A18 93C05 PDFBibTeX XMLCite \textit{M. Karow} et al., Syst. Control Lett. 59, No. 2, 122--129 (2010; Zbl 1186.93032) Full Text: DOI Link
Nakatsukasa, Yuji Perturbation behavior of a multiple eigenvalue in generalized Hermitian eigenvalue problems. (English) Zbl 1189.15025 BIT 50, No. 1, 109-121 (2010). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A42 15A22 65F15 15B57 PDFBibTeX XMLCite \textit{Y. Nakatsukasa}, BIT 50, No. 1, 109--121 (2010; Zbl 1189.15025) Full Text: DOI
Simonsson, Lennart; Eldén, Lars Grassmann algorithms for low rank approximation of matrices with missing values. (English) Zbl 1186.65050 BIT 50, No. 1, 173-191 (2010). MSC: 65F20 15A83 PDFBibTeX XMLCite \textit{L. Simonsson} and \textit{L. Eldén}, BIT 50, No. 1, 173--191 (2010; Zbl 1186.65050) Full Text: DOI Link
Lippert, Ross A. Fixing multiple eigenvalues by a minimal perturbation. (English) Zbl 1188.65050 Linear Algebra Appl. 432, No. 7, 1785-1817 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65F18 15A18 PDFBibTeX XMLCite \textit{R. A. Lippert}, Linear Algebra Appl. 432, No. 7, 1785--1817 (2010; Zbl 1188.65050) Full Text: DOI
Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Tang, Yuqing; Yan, Xiaodong Additive preconditioning for matrix computations. (English) Zbl 1191.65024 Linear Algebra Appl. 432, No. 4, 1070-1089 (2010). Reviewer: Elena V. Tabarintseva (Chelyabinsk) MSC: 65F08 65F22 65F35 15A12 PDFBibTeX XMLCite \textit{V. Y. Pan} et al., Linear Algebra Appl. 432, No. 4, 1070--1089 (2010; Zbl 1191.65024) Full Text: DOI
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker Jordan structures of alternating matrix polynomials. (English) Zbl 1188.15010 Linear Algebra Appl. 432, No. 4, 867-891 (2010). Reviewer: R. Militaru (Craiova) MSC: 15A21 15A18 15A54 PDFBibTeX XMLCite \textit{D. S. Mackey} et al., Linear Algebra Appl. 432, No. 4, 867--891 (2010; Zbl 1188.15010) Full Text: DOI
Nakatsukasa, Yuji Absolute and relative Weyl theorems for generalized eigenvalue problems. (English) Zbl 1186.15017 Linear Algebra Appl. 432, No. 1, 242-248 (2010). Reviewer: Adhemar Bultheel (Leuven) MSC: 15A42 15A22 65F15 PDFBibTeX XMLCite \textit{Y. Nakatsukasa}, Linear Algebra Appl. 432, No. 1, 242--248 (2010; Zbl 1186.15017) Full Text: DOI
Knyazev, Andrew (ed.); Mehrmann, Volker (ed.); Osborn, John (ed.); Xu, Jinchao (ed.) Linear and nonlinear eigenproblems for PDEs. Abstracts from the workshop held August 9th – August 15th, 2009. (English) Zbl 1192.00064 Oberwolfach Rep. 6, No. 3, 2025-2114 (2009). MSC: 00B05 65-06 65N25 65F15 15A18 PDFBibTeX XMLCite \textit{A. Knyazev} (ed.) et al., Oberwolfach Rep. 6, No. 3, 2025--2114 (2009; Zbl 1192.00064) Full Text: DOI
Datta, Biswa N.; Sokolov, Vadim Quadratic inverse eigenvalue problems, active vibration control and model updating. (English) Zbl 1194.15008 Appl. Comput. Math. 8, No. 2, 170 (2009). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 15A18 15A29 65F18 70J50 65N30 PDFBibTeX XMLCite \textit{B. N. Datta} and \textit{V. Sokolov}, Appl. Comput. Math. 8, No. 2, 170 (2009; Zbl 1194.15008) Full Text: Link
Vidal, Antonio M.; Garcia, Victor M.; Alonso, Pedro; Bernabeu, Miguel O. Parallel computation of the eigenvalues of symmetric Toeplitz matrices through iterative methods. (English) Zbl 1243.65044 J. Parallel Distrib. Comput. 68, No. 8, 1113-1121 (2008). MSC: 65F15 15B05 65Y05 65F10 PDFBibTeX XMLCite \textit{A. M. Vidal} et al., J. Parallel Distrib. Comput. 68, No. 8, 1113--1121 (2008; Zbl 1243.65044) 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
Demmel, James W.; Marques, Osni A.; Parlett, Beresford N.; Vömel, Christof Performance and accuracy of LAPACK’s symmetric tridiagonal eigensolvers. (English) Zbl 1165.65014 SIAM J. Sci. Comput. 30, No. 3, 1508-1526 (2008). MSC: 65F15 65F50 65Y20 15A18 15A23 PDFBibTeX XMLCite \textit{J. W. Demmel} et al., SIAM J. Sci. Comput. 30, No. 3, 1508--1526 (2008; Zbl 1165.65014) Full Text: DOI Link
Hochbruck, Marlis; Niehoff, Jörg Approximation of matrix operators applied to multiple vectors. (English) Zbl 1189.65077 Math. Comput. Simul. 79, No. 4, 1270-1283 (2008). Reviewer: Gennadij Demidenko (Novosibirsk) MSC: 65F30 65F10 15A16 PDFBibTeX XMLCite \textit{M. Hochbruck} and \textit{J. Niehoff}, Math. Comput. Simul. 79, No. 4, 1270--1283 (2008; Zbl 1189.65077) Full Text: DOI Link
Lecumberri, Pablo; Gómez, Marisol; Carlosena, Alfonso Generalized eigenvalues of nonsquare pencils with structure. (English) Zbl 1158.15005 SIAM J. Matrix Anal. Appl. 30, No. 1, 41-55 (2008). MSC: 15A18 15A22 65F15 12D05 PDFBibTeX XMLCite \textit{P. Lecumberri} et al., SIAM J. Matrix Anal. Appl. 30, No. 1, 41--55 (2008; Zbl 1158.15005) Full Text: DOI
Higham, Nicholas J.; Li, Ren-Cang; Tisseur, Françoise Backward error of polynomial eigenproblems solved by linearization. (English) Zbl 1159.65042 SIAM J. Matrix Anal. Appl. 29, No. 4, 1218-1241 (2008). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 15A18 65F35 15A22 15A12 PDFBibTeX XMLCite \textit{N. J. Higham} et al., SIAM J. Matrix Anal. Appl. 29, No. 4, 1218--1241 (2008; Zbl 1159.65042) Full Text: DOI Link
Atreas, N. D.; Polychronidou, P. A class of sparse invertible matrices and their use for nonlinear prediction of nearly periodic time series with fixed period. (English) Zbl 1156.65007 Numer. Funct. Anal. Optim. 29, No. 1-2, 66-87 (2008). Reviewer: Jaromir Antoch (Praha) MSC: 65C60 65F30 15A09 60G25 62M20 62M10 65F50 PDFBibTeX XMLCite \textit{N. D. Atreas} and \textit{P. Polychronidou}, Numer. Funct. Anal. Optim. 29, No. 1--2, 66--87 (2008; Zbl 1156.65007) Full Text: DOI
Freitag, Melina A.; Spence, Alastair Convergence theory for inexact inverse iteration applied to the generalised nonsymmetric eigenproblem. (English) Zbl 1171.65025 ETNA, Electron. Trans. Numer. Anal. 28(2007-2008), 40-64 (2007). MSC: 65F15 15A18 65F50 PDFBibTeX XMLCite \textit{M. A. Freitag} and \textit{A. Spence}, ETNA, Electron. Trans. Numer. Anal. 28, 40--64 (2007; Zbl 1171.65025) Full Text: EuDML EMIS
van Noorden, Tycho; Rommes, Joost Computing a partial generalized real Schur form using the Jacobi-Davidson method. (English) Zbl 1199.65126 Numer. Linear Algebra Appl. 14, No. 3, 197-215 (2007). MSC: 65F15 15A22 PDFBibTeX XMLCite \textit{T. van Noorden} and \textit{J. Rommes}, Numer. Linear Algebra Appl. 14, No. 3, 197--215 (2007; Zbl 1199.65126) 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
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
Wang, Xiang; Zhou, Jituan A fast eigenvalue algorithm for Pascal matrices. (English) Zbl 1109.65033 Appl. Math. Comput. 183, No. 2, 711-716 (2006). MSC: 65F15 15B36 65T50 PDFBibTeX XMLCite \textit{X. Wang} and \textit{J. Zhou}, Appl. Math. Comput. 183, No. 2, 711--716 (2006; Zbl 1109.65033) Full Text: DOI