Chen, Tyler; Hallman, Eric Krylov-aware stochastic trace estimation. (English) Zbl 1525.65042 SIAM J. Matrix Anal. Appl. 44, No. 3, 1218-1244 (2023). MSC: 65F60 15A15 65F55 PDFBibTeX XMLCite \textit{T. Chen} and \textit{E. Hallman}, SIAM J. Matrix Anal. Appl. 44, No. 3, 1218--1244 (2023; Zbl 1525.65042) Full Text: DOI arXiv
Jia, Zhigang; Liu, Xuan; Zhu, Jingfei; Zhao, Meixiang Harmonic multi-symplectic Lanczos algorithm for quaternion singular triplets. (English) Zbl 1522.65072 Numer. Algorithms 93, No. 3, 1309-1335 (2023). MSC: 65F99 15A18 15B33 65F15 65F55 PDFBibTeX XMLCite \textit{Z. Jia} et al., Numer. Algorithms 93, No. 3, 1309--1335 (2023; Zbl 1522.65072) Full Text: DOI
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
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
Jia, Zhigang; Liu, Xuan; Zhao, Meixiang The implicitly restarted multi-symplectic block-Lanczos method for large-scale Hermitian quaternion matrix eigenvalue problem and applications. (English) Zbl 1501.65010 J. Comput. Appl. Math. 419, Article ID 114664, 15 p. (2023). MSC: 65D18 65F15 15A18 PDFBibTeX XMLCite \textit{Z. Jia} et al., J. Comput. Appl. Math. 419, Article ID 114664, 15 p. (2023; Zbl 1501.65010) Full Text: DOI
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
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
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
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
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
Huang, R.; Sun, J.; Yang, C. Recursive integral method with Cayley transformation. (English) Zbl 1513.65099 Numer. Linear Algebra Appl. 25, No. 6, e2199, 12 p. (2018). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{R. Huang} et al., Numer. Linear Algebra Appl. 25, No. 6, e2199, 12 p. (2018; Zbl 1513.65099) Full Text: DOI arXiv
Zhang, Zhongming Teng Lei-Hong A block Lanczos method for the linear response eigenvalue problem. (English) Zbl 1392.65102 ETNA, Electron. Trans. Numer. Anal. 46, 505-523 (2017). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{Z. T. L. H. Zhang}, ETNA, Electron. Trans. Numer. Anal. 46, 505--523 (2017; Zbl 1392.65102) Full Text: Link
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
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
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
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
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
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
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
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
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
Aminikhah, Hossein; Jamalian, Ali A new algorithm for computing eigenpairs of matrices. (English) Zbl 1225.65044 Math. Comput. Modelling 54, No. 1-2, 119-130 (2011). MSC: 65F15 15A18 90C59 PDFBibTeX XMLCite \textit{H. Aminikhah} and \textit{A. Jamalian}, Math. Comput. Modelling 54, No. 1--2, 119--130 (2011; Zbl 1225.65044) 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
Benner, Peter; Effenberger, Cedric A rational SHIRA method for the Hamiltonian eigenvalue problem. (English) Zbl 1207.65037 Taiwanese J. Math. 14, No. 3A, 805-823 (2010). Reviewer: Costică Moroşanu (Iaşi) MSC: 65F15 15A22 15B57 65F50 PDFBibTeX XMLCite \textit{P. Benner} and \textit{C. Effenberger}, Taiwanese J. Math. 14, No. 3A, 805--823 (2010; Zbl 1207.65037) 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
Tal-Ezer, Hillel On restart and error estimation for Krylov approximation of \(w=f(A)v\). (English) Zbl 1154.65320 SIAM J. Sci. Comput. 29, No. 6, 2426-2441 (2007). MSC: 65F30 15-04 PDFBibTeX XMLCite \textit{H. Tal-Ezer}, SIAM J. Sci. Comput. 29, No. 6, 2426--2441 (2007; Zbl 1154.65320) 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
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
Fasino, Dario Rational Krylov matrices and \(QR\) steps on Hermitian diagonal-plus-semiseparable matrices. (English) Zbl 1164.15339 Numer. Linear Algebra Appl. 12, No. 8, 743-754 (2005). MSC: 15B57 15A23 15A18 65F15 PDFBibTeX XMLCite \textit{D. Fasino}, Numer. Linear Algebra Appl. 12, No. 8, 743--754 (2005; Zbl 1164.15339) Full Text: DOI
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
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
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
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
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
Mehrmann, Volker; Watkins, David Structure-preserving methods for computing eigenpairs of large sparse skew-Hamiltonian/Hamiltonian pencils. (English) Zbl 0986.65033 SIAM J. Sci. Comput. 22, No. 6, 1905-1925 (2001). Reviewer: Emil Minchev (Sofia) MSC: 65F15 65F50 15A22 65N25 65N30 65Y05 PDFBibTeX XMLCite \textit{V. Mehrmann} and \textit{D. Watkins}, SIAM J. Sci. Comput. 22, No. 6, 1905--1925 (2001; Zbl 0986.65033) Full Text: DOI
Penzl, Thilo A cyclic low-rank Smith method for large sparse Lyapunov equations. (English) Zbl 0958.65052 SIAM J. Sci. Comput. 21, No. 4, 1401-1418 (1999). Reviewer: Florica Luban (Bucureşti) MSC: 65F30 65F10 15A24 93C05 PDFBibTeX XMLCite \textit{T. Penzl}, SIAM J. Sci. Comput. 21, No. 4, 1401--1418 (2000; Zbl 0958.65052) 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
Ruhe, Axel Rational Krylov: A practical algorithm for large sparse nonsymmetric matrix pencils. (English) Zbl 0914.65036 SIAM J. Sci. Comput. 19, No. 5, 1535-1551 (1998). Reviewer: H.Matthies (Braunschweig) MSC: 65F15 65F50 15A22 PDFBibTeX XMLCite \textit{A. Ruhe}, SIAM J. Sci. Comput. 19, No. 5, 1535--1551 (1998; Zbl 0914.65036) Full Text: DOI
Eldén, Lars; Sjöström, Eva Fast computation of the principal singular vectors of Toeplitz matrices arising in exponential data modelling. (English) Zbl 0875.15006 Signal Process. 50, No. 1-2, 151-164 (1996). MSC: 15B57 94A12 PDFBibTeX XMLCite \textit{L. Eldén} and \textit{E. Sjöström}, Signal Process. 50, No. 1--2, 151--164 (1996; Zbl 0875.15006) Full Text: DOI
Cliffe, K. A.; Garratt, T. J.; Spence, A. Eigenvalues of block matrices arising from problems in fluid mechanics. (English) Zbl 0807.65030 SIAM J. Matrix Anal. Appl. 15, No. 4, 1310-1318 (1994). Reviewer: Yang Yingchen (Beijing) MSC: 65F15 65F50 15A18 76D05 76M10 PDFBibTeX XMLCite \textit{K. A. Cliffe} et al., SIAM J. Matrix Anal. Appl. 15, No. 4, 1310--1318 (1994; Zbl 0807.65030) Full Text: DOI