Ruymbeek, Koen; Meerbergen, Karl; Michiels, Wim Tensor-Krylov method for computing eigenvalues of parameter-dependent matrices. (English) Zbl 1485.65039 J. Comput. Appl. Math. 408, Article ID 113869, 16 p. (2022). MSC: 65F15 15A69 PDFBibTeX XMLCite \textit{K. Ruymbeek} et al., J. Comput. Appl. Math. 408, Article ID 113869, 16 p. (2022; Zbl 1485.65039) Full Text: DOI arXiv Link
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
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
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
Steel, Thijs; Camps, Daan; Meerbergen, Karl; Vandebril, Raf A multishift, multipole rational QZ method with aggressive early deflation. (English) Zbl 1467.65032 SIAM J. Matrix Anal. Appl. 42, No. 2, 753-774 (2021). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{T. Steel} et al., SIAM J. Matrix Anal. Appl. 42, No. 2, 753--774 (2021; Zbl 1467.65032) Full Text: DOI arXiv
Embree, Mark; Loe, Jennifer A.; Morgan, Ronald Polynomial preconditioned Arnoldi with stability control. (English) Zbl 1464.65035 SIAM J. Sci. Comput. 43, No. 1, A1-A25 (2021). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{M. Embree} et al., SIAM J. Sci. Comput. 43, No. 1, A1--A25 (2021; Zbl 1464.65035) 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
Wang, Qing-Wen; Wang, Xiang-Xiang Arnoldi method for large quaternion right eigenvalue problem. (English) Zbl 1432.65047 J. Sci. Comput. 82, No. 3, Paper No. 58, 20 p. (2020). MSC: 65F15 15A18 15B33 PDFBibTeX XMLCite \textit{Q.-W. Wang} and \textit{X.-X. Wang}, J. Sci. Comput. 82, No. 3, Paper No. 58, 20 p. (2020; Zbl 1432.65047) Full Text: DOI
Miao, Cun-Qiang Filtered Krylov-like sequence method for symmetric eigenvalue problems. (English) Zbl 1436.65039 Numer. Algorithms 82, No. 3, 791-807 (2019). MSC: 65F15 15B57 PDFBibTeX XMLCite \textit{C.-Q. Miao}, Numer. Algorithms 82, No. 3, 791--807 (2019; Zbl 1436.65039) Full Text: DOI
Zadeh, Najmeh Azizi; Tajaddini, Azita; Wu, Gang Weighted and deflated global GMRES algorithms for solving large Sylvester matrix equations. (English) Zbl 1420.65040 Numer. Algorithms 82, No. 1, 155-181 (2019). MSC: 65F10 65F15 15A24 65F30 PDFBibTeX XMLCite \textit{N. A. Zadeh} et al., Numer. Algorithms 82, No. 1, 155--181 (2019; Zbl 1420.65040) Full Text: DOI arXiv
Camps, Daan; Meerbergen, Karl; Vandebril, Raf A rational QZ method. (English) Zbl 1420.65044 SIAM J. Matrix Anal. Appl. 40, No. 3, 943-972 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{D. Camps} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 943--972 (2019; Zbl 1420.65044) Full Text: DOI arXiv
Dong, Yiqiu; Hansen, Per Christian; Hochstenbach, Michiel E.; Brogaard Riis, Nicolai André Fixing nonconvergence of algebraic iterative reconstruction with an unmatched backprojector. (English) Zbl 1420.65031 SIAM J. Sci. Comput. 41, No. 3, A1822-A1839 (2019). MSC: 65F10 65F15 65F22 15A18 15A60 PDFBibTeX XMLCite \textit{Y. Dong} et al., SIAM J. Sci. Comput. 41, No. 3, A1822--A1839 (2019; Zbl 1420.65031) Full Text: DOI arXiv
Wu, Lingfei; Xue, Fei; Stathopoulos, Andreas TRPL+K: thick-restart preconditioned Lanczos+K method for large symmetric eigenvalue problems. (English) Zbl 1431.65047 SIAM J. Sci. Comput. 41, No. 2, A1013-A1040 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{L. Wu} et al., SIAM J. Sci. Comput. 41, No. 2, A1013--A1040 (2019; Zbl 1431.65047) 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
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
Morgan, Ronald B.; Yang, Zhao Two-grid and multiple-grid Arnoldi for eigenvalues. (English) Zbl 1401.65039 SIAM J. Sci. Comput. 40, No. 5, A3470-A3494 (2018). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{R. B. Morgan} and \textit{Z. Yang}, SIAM J. Sci. Comput. 40, No. 5, A3470--A3494 (2018; Zbl 1401.65039) Full Text: DOI
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
Miao, Cun-Qiang A filtered-Davidson method for large symmetric eigenvalue problems. (English) Zbl 1373.15018 East Asian J. Appl. Math. 7, No. 1, 21-37 (2017). MSC: 15A18 65F15 65F50 34L15 65N25 PDFBibTeX XMLCite \textit{C.-Q. Miao}, East Asian J. Appl. Math. 7, No. 1, 21--37 (2017; Zbl 1373.15018) Full Text: DOI
Hou, Thomas Y.; Li, Qin; Zhang, Pengchuan A sparse decomposition of low rank symmetric positive semidefinite matrices. (English) Zbl 1386.65127 Multiscale Model. Simul. 15, No. 1, 410-444 (2017). MSC: 65F50 15B48 PDFBibTeX XMLCite \textit{T. Y. Hou} et al., Multiscale Model. Simul. 15, No. 1, 410--444 (2017; Zbl 1386.65127) Full Text: DOI arXiv
Katsouleas, Georgios; Maroulas, John An inverse problem for the \(k\)-rank numerical range. (English) Zbl 1347.15030 SIAM J. Matrix Anal. Appl. 37, No. 3, 1022-1037 (2016). MSC: 15A60 15A29 47A20 PDFBibTeX XMLCite \textit{G. Katsouleas} and \textit{J. Maroulas}, SIAM J. Matrix Anal. Appl. 37, No. 3, 1022--1037 (2016; Zbl 1347.15030) Full Text: DOI
Maroulas, John; Katsouleas, Georgios Block imbedding and interlacing results for normal matrices. (English) Zbl 1392.15050 Electron. J. Linear Algebra 31, 244-262 (2016). MSC: 15B57 15A42 15A18 PDFBibTeX XMLCite \textit{J. Maroulas} and \textit{G. Katsouleas}, Electron. J. Linear Algebra 31, 244--262 (2016; Zbl 1392.15050) Full Text: DOI
Feng, Ting-Ting; Wu, Gang; Xu, Ting-Ting An inexact shift-and-invert Arnoldi algorithm for large non-Hermitian generalised Toeplitz eigenproblems. (English) Zbl 1478.65024 East Asian J. Appl. Math. 5, No. 2, 160-175 (2015). MSC: 65F15 15B05 PDFBibTeX XMLCite \textit{T.-T. Feng} et al., East Asian J. Appl. Math. 5, No. 2, 160--175 (2015; Zbl 1478.65024) Full Text: DOI
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
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
Rostami, Minghao W. New algorithms for computing the real structured pseudospectral abscissa and the real stability radius of large and sparse matrices. (English) Zbl 1325.65067 SIAM J. Sci. Comput. 37, No. 5, S447-S471 (2015). MSC: 65F50 65F15 15A18 15A24 PDFBibTeX XMLCite \textit{M. W. Rostami}, SIAM J. Sci. Comput. 37, No. 5, S447--S471 (2015; Zbl 1325.65067) 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
Jia, Zhongxiao; Lin, Wen-Wei; Liu, Ching-Sung A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible \(M\)-matrix. (English) Zbl 1320.65055 Numer. Math. 130, No. 4, 645-679 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 65F50 15B48 PDFBibTeX XMLCite \textit{Z. Jia} et al., Numer. Math. 130, No. 4, 645--679 (2015; Zbl 1320.65055) Full Text: DOI arXiv
Jia, Zhongxiao; Lv, Hui A posteriori error estimates of Krylov subspace approximations to matrix functions. (English) Zbl 1331.65069 Numer. Algorithms 69, No. 1, 1-28 (2015). Reviewer: João R. Cardoso (Coimbra) MSC: 65F60 65F10 15A16 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{H. Lv}, Numer. Algorithms 69, No. 1, 1--28 (2015; Zbl 1331.65069) Full Text: DOI arXiv
Katsouleas, Georgios; Maroulas, John Interaction between Hermitian and normal imbeddings. (English) Zbl 1336.65056 Appl. Math. Comput. 233, 557-564 (2014). MSC: 65F15 15B57 PDFBibTeX XMLCite \textit{G. Katsouleas} and \textit{J. Maroulas}, Appl. Math. Comput. 233, 557--564 (2014; Zbl 1336.65056) Full Text: DOI
Carden, Russell; Hansen, Derek J. Ritz values of normal matrices and Ceva’s theorem. (English) Zbl 1305.15026 Linear Algebra Appl. 438, No. 11, 4114-4129 (2013). MSC: 15A18 15A29 15A60 65F15 65F35 PDFBibTeX XMLCite \textit{R. Carden} and \textit{D. J. Hansen}, Linear Algebra Appl. 438, No. 11, 4114--4129 (2013; Zbl 1305.15026) Full Text: DOI
Bujanović, Zvonimir On the permissible arrangements of Ritz values for normal matrices in the complex plane. (English) Zbl 1281.15007 Linear Algebra Appl. 438, No. 12, 4606-4624 (2013). MSC: 15A18 15A29 15A42 65F15 65F18 PDFBibTeX XMLCite \textit{Z. Bujanović}, Linear Algebra Appl. 438, No. 12, 4606--4624 (2013; Zbl 1281.15007) Full Text: DOI
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
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
Darnell, Dean; Morgan, Ronald B.; Wilcox, Walter Deflated GMRES for systems with multiple shifts and multiple right-hand sides. (English) Zbl 1153.65032 Linear Algebra Appl. 429, No. 10, 2415-2434 (2008). MSC: 65F10 15A06 81V05 81-08 PDFBibTeX XMLCite \textit{D. Darnell} et al., Linear Algebra Appl. 429, No. 10, 2415--2434 (2008; Zbl 1153.65032) Full Text: DOI arXiv
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
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
Jbilou, K. An Arnoldi based algorithm for large algebraic Riccati equations. (English) Zbl 1094.65038 Appl. Math. Lett. 19, No. 5, 437-444 (2006). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{K. Jbilou}, Appl. Math. Lett. 19, No. 5, 437--444 (2006; Zbl 1094.65038) Full Text: DOI
Lin, Yi-Qin Implicitly restarted global FOM and GMRES for nonsymmetric matrix equations and Sylvester equations. (English) Zbl 1081.65038 Appl. Math. Comput. 167, No. 2, 1004-1025 (2005). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{Y.-Q. Lin}, Appl. Math. Comput. 167, No. 2, 1004--1025 (2005; Zbl 1081.65038) Full Text: DOI
Guo, Chun-Hua; Lancaster, Peter Algorithms for hyperbolic quadratic eigenvalue problems. (English) Zbl 1083.65037 Math. Comput. 74, No. 252, 1777-1791 (2005). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 65F30 15A18 15A24 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{P. Lancaster}, Math. Comput. 74, No. 252, 1777--1791 (2005; Zbl 1083.65037) 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
Abdel-Aziz, Mohammedi R.; El-Sayed, Salah M. Sensitivity analysis of the largest dependent eigenvalue functions of eigensystems. (English) Zbl 0934.65048 Appl. Math. Comput. 100, No. 2-3, 103-110 (1999). Reviewer: J.B.Butler jun.(Portland) MSC: 65F15 15A42 PDFBibTeX XMLCite \textit{M. R. Abdel-Aziz} and \textit{S. M. El-Sayed}, Appl. Math. Comput. 100, No. 2--3, 103--110 (1999; Zbl 0934.65048) Full Text: DOI