Bai, Zhaojun; Lu, Ding Variational characterization of monotone nonlinear eigenvector problems and geometry of self-consistent field iteration. (English) Zbl 07791520 SIAM J. Matrix Anal. Appl. 45, No. 1, 84-111 (2024). Reviewer: Andreas Kleefeld (Jülich) MSC: 65F15 65H17 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{D. Lu}, SIAM J. Matrix Anal. Appl. 45, No. 1, 84--111 (2024; Zbl 07791520) Full Text: DOI arXiv
Banks, Jess; Garza-Vargas, Jorge; Kulkarni, Archit; Srivastava, Nikhil Pseudospectral shattering, the sign function, and diagonalization in nearly matrix multiplication time. (English) Zbl 07781553 Found. Comput. Math. 23, No. 6, 1959-2047 (2023). MSC: 65F15 60B20 68Q25 PDFBibTeX XMLCite \textit{J. Banks} et al., Found. Comput. Math. 23, No. 6, 1959--2047 (2023; Zbl 07781553) Full Text: DOI arXiv OA License
Senosiain, M. J.; Tocino, A. A survey of mean-square destabilization of multidimensional linear stochastic differential systems with non-normal drift. (English) Zbl 07720455 Numer. Algorithms 93, No. 4, 1543-1559 (2023). MSC: 65-XX 60H05 65C30 65L20 PDFBibTeX XMLCite \textit{M. J. Senosiain} and \textit{A. Tocino}, Numer. Algorithms 93, No. 4, 1543--1559 (2023; Zbl 07720455) Full Text: DOI
Colbrook, Matthew J. The mpEDMD algorithm for data-driven computations of measure-preserving dynamical systems. (English) Zbl 1517.65038 SIAM J. Numer. Anal. 61, No. 3, 1585-1608 (2023). MSC: 65H99 65P99 47N40 47A10 47B33 37M10 37A05 37N10 PDFBibTeX XMLCite \textit{M. J. Colbrook}, SIAM J. Numer. Anal. 61, No. 3, 1585--1608 (2023; Zbl 1517.65038) Full Text: DOI arXiv
Mitchell, Tim Convergence rate analysis and improved iterations for numerical radius computation. (English) Zbl 1512.65063 SIAM J. Sci. Comput. 45, No. 2, A753-A780 (2023). MSC: 65F15 47A12 15A60 65Y20 PDFBibTeX XMLCite \textit{T. Mitchell}, SIAM J. Sci. Comput. 45, No. 2, A753--A780 (2023; Zbl 1512.65063) Full Text: DOI arXiv
Zou, Qinmeng GMRES algorithms over 35 years. (English) Zbl 1511.65002 Appl. Math. Comput. 445, Article ID 127869, 23 p. (2023). MSC: 65-03 65F10 65Y05 PDFBibTeX XMLCite \textit{Q. Zou}, Appl. Math. Comput. 445, Article ID 127869, 23 p. (2023; Zbl 1511.65002) Full Text: DOI arXiv
Aljawi, Salma; Marletta, Marco On the eigenvalues of spectral gaps of elliptic PDEs on waveguides. (English) Zbl 1506.35129 Integral Equations Oper. Theory 95, No. 1, Paper No. 7, 40 p. (2023). MSC: 35P05 35P15 15A60 PDFBibTeX XMLCite \textit{S. Aljawi} and \textit{M. Marletta}, Integral Equations Oper. Theory 95, No. 1, Paper No. 7, 40 p. (2023; Zbl 1506.35129) Full Text: DOI
Ostermann, Maëva Pseudospectra and simultaneous power control. (English) Zbl 1510.15034 Linear Algebra Appl. 658, 49-61 (2023). MSC: 15A45 15A18 15A60 PDFBibTeX XMLCite \textit{M. Ostermann}, Linear Algebra Appl. 658, 49--61 (2023; Zbl 1510.15034) Full Text: DOI arXiv
Soleymani, Fazlollah An efficient numerical scheme for the solution of a stochastic volatility model including contemporaneous jumps in finance. (English) Zbl 07633873 Int. J. Comput. Methods 19, No. 7, Article ID 2141021, 27 p. (2022). MSC: 65-XX 91-XX PDFBibTeX XMLCite \textit{F. Soleymani}, Int. J. Comput. Methods 19, No. 7, Article ID 2141021, 27 p. (2022; Zbl 07633873) Full Text: DOI
Owolabi, Kolade M.; Pindza, Edson Dynamics of fractional chaotic systems with Chebyshev spectral approximation method. (English) Zbl 1489.65115 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 140, 22 p. (2022). MSC: 65L60 65L05 34A08 34A34 37D45 PDFBibTeX XMLCite \textit{K. M. Owolabi} and \textit{E. Pindza}, Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 140, 22 p. (2022; Zbl 1489.65115) Full Text: DOI
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
Defez, E.; Ibáñez, J.; Peinado, J.; Alonso-Jordá, P.; Alonso, José M. New Hermite series expansion for computing the matrix hyperbolic cosine. (English) Zbl 1484.65087 J. Comput. Appl. Math. 408, Article ID 114084, 14 p. (2022). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{E. Defez} et al., J. Comput. Appl. Math. 408, Article ID 114084, 14 p. (2022; Zbl 1484.65087) Full Text: DOI
Ekström, Sven-Erik; Vassalos, Paris A matrix-less method to approximate the spectrum and the spectral function of Toeplitz matrices with real eigenvalues. (English) Zbl 1480.65102 Numer. Algorithms 89, No. 2, 701-720 (2022). MSC: 65F60 15B05 PDFBibTeX XMLCite \textit{S.-E. Ekström} and \textit{P. Vassalos}, Numer. Algorithms 89, No. 2, 701--720 (2022; Zbl 1480.65102) Full Text: DOI arXiv
Brooks, Cara D.; Condori, Alberto A.; Seguin, Nicholas Polynomially isometric matrices in low dimensions. (English) Zbl 07354530 Am. Math. Mon. 128, No. 6, 513-524 (2021). MSC: 47A10 15A60 15A18 47A56 PDFBibTeX XMLCite \textit{C. D. Brooks} et al., Am. Math. Mon. 128, No. 6, 513--524 (2021; Zbl 07354530) Full Text: DOI arXiv
Cvetković, Dragana Lj.; Cvetković, Ljiljana; Li, Chaoqian CKV-type matrices with applications. (English) Zbl 1458.15064 Linear Algebra Appl. 608, 158-184 (2021). Reviewer: Francisco Marcellán (Leganes) MSC: 15B99 15A18 15A42 15A60 PDFBibTeX XMLCite \textit{D. Lj. Cvetković} et al., Linear Algebra Appl. 608, 158--184 (2021; Zbl 1458.15064) Full Text: DOI
Hu, Tianli; Liao, Shijun On the risks of using double precision in numerical simulations of spatio-temporal chaos. (English) Zbl 07506180 J. Comput. Phys. 418, Article ID 109629, 25 p. (2020). MSC: 65-XX 37-XX PDFBibTeX XMLCite \textit{T. Hu} and \textit{S. Liao}, J. Comput. Phys. 418, Article ID 109629, 25 p. (2020; Zbl 07506180) Full Text: DOI arXiv
Frommer, Andreas; Jacob, Brigit; Kahl, Kartsen; Wyss, Christian; Zwaan, Ian Krylov type methods for linear systems exploiting properties of the quadratic numerical range. (English) Zbl 1459.65041 ETNA, Electron. Trans. Numer. Anal. 53, 541-561 (2020). MSC: 65F10 65F08 15A60 PDFBibTeX XMLCite \textit{A. Frommer} et al., ETNA, Electron. Trans. Numer. Anal. 53, 541--561 (2020; Zbl 1459.65041) Full Text: DOI arXiv Link
Costara, Constantin Linear automorphisms of the pseudospectral unit ball. (English) Zbl 1446.15009 Arch. Math. 115, No. 3, 289-297 (2020). MSC: 15A60 15A86 PDFBibTeX XMLCite \textit{C. Costara}, Arch. Math. 115, No. 3, 289--297 (2020; Zbl 1446.15009) Full Text: DOI
Greenbaum, Anne; Li, Ren-Cang; Overton, Michael L. First-order perturbation theory for eigenvalues and eigenvectors. (English) Zbl 1516.15006 SIAM Rev. 62, No. 2, 463-482 (2020). MSC: 15A18 65F15 15A60 47A55 PDFBibTeX XMLCite \textit{A. Greenbaum} et al., SIAM Rev. 62, No. 2, 463--482 (2020; Zbl 1516.15006) Full Text: DOI arXiv
Trefethen, Lloyd N. Eight perspectives on the exponentially ill-conditioned equation \(\varepsilon y'' - x y' + y = 0\). (English) Zbl 1437.65075 SIAM Rev. 62, No. 2, 439-462 (2020). MSC: 65L08 34E20 34B15 PDFBibTeX XMLCite \textit{L. N. Trefethen}, SIAM Rev. 62, No. 2, 439--462 (2020; Zbl 1437.65075) Full Text: DOI
Tocino, A.; Senosiain, M. J. MS-stability of nonnormal stochastic differential systems. (English) Zbl 07205652 J. Comput. Appl. Math. 379, Article ID 112950, 15 p. (2020). MSC: 65C30 60H10 65L20 60H35 65L06 PDFBibTeX XMLCite \textit{A. Tocino} and \textit{M. J. Senosiain}, J. Comput. Appl. Math. 379, Article ID 112950, 15 p. (2020; Zbl 07205652) Full Text: DOI
Gao, Jing; Condon, Marissa; Iserles, Arieh Spectral computation of highly oscillatory integral equations in laser theory. (English) Zbl 1452.65400 J. Comput. Phys. 395, 351-381 (2019). MSC: 65R10 45C05 65-04 PDFBibTeX XMLCite \textit{J. Gao} et al., J. Comput. Phys. 395, 351--381 (2019; Zbl 1452.65400) Full Text: DOI
Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel Generalized trace pseudo-spectrum of matrix pencils. (English) Zbl 1442.15019 Cubo 21, No. 2, 65-76 (2019). MSC: 15A22 15A18 15A09 15A86 15A60 PDFBibTeX XMLCite \textit{A. Ammar} et al., Cubo 21, No. 2, 65--76 (2019; Zbl 1442.15019) Full Text: DOI
Khakshour, Madjid; Aghamollaei, Gholamreza Some results on polynomial numerical hulls of perturbed matrices. (English) Zbl 1463.15046 Sahand Commun. Math. Anal. 14, No. 1, 147-158 (2019). MSC: 15A60 PDFBibTeX XMLCite \textit{M. Khakshour} and \textit{G. Aghamollaei}, Sahand Commun. Math. Anal. 14, No. 1, 147--158 (2019; Zbl 1463.15046) Full Text: DOI
Colbrook, Matthew J.; Hansen, Anders C. On the infinite-dimensional QR algorithm. (English) Zbl 07088063 Numer. Math. 143, No. 1, 17-83 (2019). Reviewer: K. C. Sivakumar (Chennai) MSC: 65J10 47A10 46N40 PDFBibTeX XMLCite \textit{M. J. Colbrook} and \textit{A. C. Hansen}, Numer. Math. 143, No. 1, 17--83 (2019; Zbl 07088063) Full Text: DOI arXiv
Khakshour, Madjid; Aghamollaei, Gholamreza; Sheikhhosseini, Alemeh Field of values of perturbed matrices and quantum states. (English) Zbl 1424.15041 Turk. J. Math. 42, No. 2, 647-655 (2018). MSC: 15A60 81P68 PDFBibTeX XMLCite \textit{M. Khakshour} et al., Turk. J. Math. 42, No. 2, 647--655 (2018; Zbl 1424.15041) Full Text: DOI
Loisel, Sébastien; Maxwell, Peter Path-following method to determine the field of values of a matrix with high accuracy. (English) Zbl 1453.65082 SIAM J. Matrix Anal. Appl. 39, No. 4, 1726-1749 (2018). MSC: 65F35 15A18 15A60 15B57 65F15 PDFBibTeX XMLCite \textit{S. Loisel} and \textit{P. Maxwell}, SIAM J. Matrix Anal. Appl. 39, No. 4, 1726--1749 (2018; Zbl 1453.65082) Full Text: DOI
Zhang, Richard Y.; White, Jacob K. GMRES-accelerated ADMM for quadratic objectives. (English) Zbl 1402.49025 SIAM J. Optim. 28, No. 4, 3025-3056 (2018). MSC: 49M20 90C06 65B99 49M15 90C22 PDFBibTeX XMLCite \textit{R. Y. Zhang} and \textit{J. K. White}, SIAM J. Optim. 28, No. 4, 3025--3056 (2018; Zbl 1402.49025) Full Text: DOI arXiv
Rostami, Minghao W.; Xue, Fei Robust linear stability analysis and a new method for computing the action of the matrix exponential. (English) Zbl 1401.65019 SIAM J. Sci. Comput. 40, No. 5, A3344-A3370 (2018). MSC: 65D05 65F15 65F50 PDFBibTeX XMLCite \textit{M. W. Rostami} and \textit{F. Xue}, SIAM J. Sci. Comput. 40, No. 5, A3344--A3370 (2018; Zbl 1401.65019) Full Text: DOI
Šanca, Ernest; Kostić, Vladimir R.; Cvetković, Ljiljana Fractional pseudospectra and their localizations. (English) Zbl 1406.34018 Linear Algebra Appl. 559, 244-269 (2018). MSC: 34A08 15A18 15A60 34A30 34D20 PDFBibTeX XMLCite \textit{E. Šanca} et al., Linear Algebra Appl. 559, 244--269 (2018; Zbl 1406.34018) Full Text: DOI
Elman, Howard C.; Silvester, David J. Collocation methods for exploring perturbations in linear stability analysis. (English) Zbl 1398.65176 SIAM J. Sci. Comput. 40, No. 4, A2667-A2693 (2018). MSC: 65L07 65F15 65P40 PDFBibTeX XMLCite \textit{H. C. Elman} and \textit{D. J. Silvester}, SIAM J. Sci. Comput. 40, No. 4, A2667--A2693 (2018; Zbl 1398.65176) Full Text: DOI arXiv
Brooks, Cara D.; Condori, Alberto A. A resolvent criterion for normality. (English) Zbl 06901808 Am. Math. Mon. 125, No. 2, 149-156 (2018). MSC: 47A10 47B15 15A18 15A60 PDFBibTeX XMLCite \textit{C. D. Brooks} and \textit{A. A. Condori}, Am. Math. Mon. 125, No. 2, 149--156 (2018; Zbl 06901808) Full Text: DOI arXiv
Sastre, Jorge; Ibáñez, Javier; Alonso, Pedro; Peinado, Jesús; Defez, Emilio Two algorithms for computing the matrix cosine function. (English) Zbl 1426.65059 Appl. Math. Comput. 312, 66-77 (2017). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{J. Sastre} et al., Appl. Math. Comput. 312, 66--77 (2017; Zbl 1426.65059) Full Text: DOI Link
Aliyev, Nicat; Benner, Peter; Mengi, Emre; Schwerdtner, Paul; Voigt, Matthias Large-scale computation of \(\mathcal{L}_\infty\)-norms by a greedy subspace method. (English) Zbl 1379.65020 SIAM J. Matrix Anal. Appl. 38, No. 4, 1496-1516 (2017). MSC: 65F30 65F60 15A60 65D05 65E05 PDFBibTeX XMLCite \textit{N. Aliyev} et al., SIAM J. Matrix Anal. Appl. 38, No. 4, 1496--1516 (2017; Zbl 1379.65020) Full Text: DOI arXiv
Güttel, Stefan; Tisseur, Françoise The nonlinear eigenvalue problem. (English) Zbl 1377.65061 Acta Numerica 26, 1-94 (2017). MSC: 65H17 65D05 65-02 PDFBibTeX XMLCite \textit{S. Güttel} and \textit{F. Tisseur}, Acta Numerica 26, 1--94 (2017; Zbl 1377.65061) 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
Carden, Russell L.; Jahromi, Mostafa Zahed The inverse \(q\)-numerical range problem and connections to the Davis-Wielandt shell and the pseudospectra of a matrix. (English) Zbl 1372.65132 Linear Algebra Appl. 531, 479-497 (2017). MSC: 65F35 65F15 15A18 15A29 15A60 PDFBibTeX XMLCite \textit{R. L. Carden} and \textit{M. Z. Jahromi}, Linear Algebra Appl. 531, 479--497 (2017; Zbl 1372.65132) Full Text: DOI
Deift, Percy Some open problems in random matrix theory and the theory of integrable systems. II. (English) Zbl 1375.37160 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 016, 23 p. (2017). Reviewer: Jonathan Eckhardt (Wien) MSC: 37K15 15B52 34M55 35Q53 60F05 60K35 62H25 82B44 35Q15 PDFBibTeX XMLCite \textit{P. Deift}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 016, 23 p. (2017; Zbl 1375.37160) Full Text: DOI arXiv
Soheili, Ali R.; Soleymani, F. A new solution method for stochastic differential equations via collocation approach. (English) Zbl 1355.65017 Int. J. Comput. Math. 93, No. 12, 2079-2091 (2016). MSC: 65C30 60H35 65L60 PDFBibTeX XMLCite \textit{A. R. Soheili} and \textit{F. Soleymani}, Int. J. Comput. Math. 93, No. 12, 2079--2091 (2016; Zbl 1355.65017) Full Text: DOI
Zheng, Bin; Chen, Luoping; Hu, Xiaozhe; Chen, Long; Nochetto, Ricardo H.; Xu, Jinchao Fast multilevel solvers for a class of discrete fourth order parabolic problems. (English) Zbl 1410.65386 J. Sci. Comput. 69, No. 1, 201-226 (2016). Reviewer: Zhiming Chen (Beijing) MSC: 65M60 65F10 65F08 PDFBibTeX XMLCite \textit{B. Zheng} et al., J. Sci. Comput. 69, No. 1, 201--226 (2016; Zbl 1410.65386) Full Text: DOI arXiv
Guiver, Chris; Hodgson, Dave; Townley, Stuart A note on the eigenvectors of perturbed matrices with applications to linear positive systems. (English) Zbl 1348.15014 Linear Algebra Appl. 509, 143-167 (2016). MSC: 15A42 15B48 93C55 93C73 15A18 15A60 PDFBibTeX XMLCite \textit{C. Guiver} et al., Linear Algebra Appl. 509, 143--167 (2016; Zbl 1348.15014) Full Text: DOI
Caliari, Marco; Kandolf, Peter; Ostermann, Alexander; Rainer, Stefan The Leja method revisited: backward error analysis for the matrix exponential. (English) Zbl 1339.65061 SIAM J. Sci. Comput. 38, No. 3, A1639-A1661 (2016). MSC: 65F60 65D05 PDFBibTeX XMLCite \textit{M. Caliari} et al., SIAM J. Sci. Comput. 38, No. 3, A1639--A1661 (2016; Zbl 1339.65061) Full Text: DOI arXiv
Fatemion Aghda, A. S.; Hosseini, S. Mohammad Linear mean-square stability properties of semi-implicit weak order 2.0 Taylor schemes for systems of stochastic differential equations. (English) Zbl 1382.65017 J. Comput. Appl. Math. 302, 94-105 (2016). MSC: 65C30 60H35 34D20 PDFBibTeX XMLCite \textit{A. S. Fatemion Aghda} and \textit{S. M. Hosseini}, J. Comput. Appl. Math. 302, 94--105 (2016; Zbl 1382.65017) Full Text: DOI
Friedhoff, S.; MacLachlan, S. A generalized predictive analysis tool for multigrid methods. (English) Zbl 1349.65427 Numer. Linear Algebra Appl. 22, No. 4, 618-647 (2015). MSC: 65M55 65F10 35K20 65M12 PDFBibTeX XMLCite \textit{S. Friedhoff} and \textit{S. MacLachlan}, Numer. Linear Algebra Appl. 22, No. 4, 618--647 (2015; Zbl 1349.65427) Full Text: DOI
Praetorius, Simon; Voigt, Axel Development and analysis of a block-preconditioner for the phase-field crystal equation. (English) Zbl 1320.82059 SIAM J. Sci. Comput. 37, No. 3, B425-B451 (2015). MSC: 82C80 65F08 65F10 65N22 65Y05 65Z05 82C21 82D25 PDFBibTeX XMLCite \textit{S. Praetorius} and \textit{A. Voigt}, SIAM J. Sci. Comput. 37, No. 3, B425--B451 (2015; Zbl 1320.82059) Full Text: DOI arXiv
Reshniak, V.; Khaliq, A. Q. M.; Voss, D. A.; Zhang, G. Split-step Milstein methods for multi-channel stiff stochastic differential systems. (English) Zbl 1306.65008 Appl. Numer. Math. 89, 1-23 (2015). MSC: 65C30 60H10 60H35 34F05 65L04 65L20 PDFBibTeX XMLCite \textit{V. Reshniak} et al., Appl. Numer. Math. 89, 1--23 (2015; Zbl 1306.65008) Full Text: DOI arXiv
Baker, Christopher T. H. Observations on evolutionary models with (or without) time lag, and on problematical paradigms. (English) Zbl 07312541 Math. Comput. Simul. 96, 4-53 (2014). MSC: 65Lxx 65-XX 00Bxx PDFBibTeX XMLCite \textit{C. T. H. Baker}, Math. Comput. Simul. 96, 4--53 (2014; Zbl 07312541) Full Text: DOI
Aleksić, J.; Kostić, V.; Žigić, M. Spectrum localizations for matrix operators on \(l^p\) spaces. (English) Zbl 1338.47003 Appl. Math. Comput. 249, 541-553 (2014). MSC: 47A10 15A60 PDFBibTeX XMLCite \textit{J. Aleksić} et al., Appl. Math. Comput. 249, 541--553 (2014; Zbl 1338.47003) Full Text: DOI
Nikolski, N. Sublinear dimension growth in the Kreiss matrix theorem. (English) Zbl 1302.47010 St. Petersbg. Math. J. 25, No. 3, 361-396 (2014) and Algebra Anal. 25, No. 3, 3-51 (2013). MSC: 47A10 15A60 15A45 PDFBibTeX XMLCite \textit{N. Nikolski}, St. Petersbg. Math. J. 25, No. 3, 361--396 (2014; Zbl 1302.47010) Full Text: DOI
Liesen, Jörg; Strakoš, Zdeněk Krylov subspace methods. Principles and analysis. (English) Zbl 1263.65034 Numerical Mathematics and Scientific Computation. Oxford: Oxford University Press (ISBN 978-0-19-965541-0/hbk). xv, 391 p. (2013). Reviewer: Ludwig Elsner (Bielefeld) MSC: 65F10 65-02 PDFBibTeX XMLCite \textit{J. Liesen} and \textit{Z. Strakoš}, Krylov subspace methods. Principles and analysis. Oxford: Oxford University Press (2013; Zbl 1263.65034)
Buckwar, Evelyn; Kelly, Cónall Non-normal drift structures and linear stability analysis of numerical methods for systems of stochastic differential equations. (English) Zbl 1268.60091 Comput. Math. Appl. 64, No. 7, 2282-2293 (2012). MSC: 60H35 65C30 PDFBibTeX XMLCite \textit{E. Buckwar} and \textit{C. Kelly}, Comput. Math. Appl. 64, No. 7, 2282--2293 (2012; Zbl 1268.60091) Full Text: DOI
Boiko, A. V.; Nechepurenko, Yu. M.; Sadkane, M. Computing the maximum amplification of the solution norm of differential-algebraic systems. (English) Zbl 1258.65072 Comput. Math. Model. 23, No. 2, 216-227 (2012). MSC: 65L80 34A09 76D05 76F06 PDFBibTeX XMLCite \textit{A. V. Boiko} et al., Comput. Math. Model. 23, No. 2, 216--227 (2012; Zbl 1258.65072) Full Text: DOI
Gürbüzbalaban, Mert; Overton, Michael L. Some regularity results for the pseudospectral abscissa and pseudospectral radius of a matrix. (English) Zbl 1253.15010 SIAM J. Optim. 22, No. 2, 281-285 (2012). MSC: 15A18 93D09 49J52 65K10 90C26 PDFBibTeX XMLCite \textit{M. Gürbüzbalaban} and \textit{M. L. Overton}, SIAM J. Optim. 22, No. 2, 281--285 (2012; Zbl 1253.15010) Full Text: DOI
Seidel, Markus On \((N,\epsilon)\)-pseudospectra of operators on Banach spaces. (English) Zbl 1307.47005 J. Funct. Anal. 262, No. 11, 4916-4927 (2012). MSC: 47A10 47A58 65J05 PDFBibTeX XMLCite \textit{M. Seidel}, J. Funct. Anal. 262, No. 11, 4916--4927 (2012; Zbl 1307.47005) Full Text: DOI
Lindner, Marko; Roch, Steffen Finite sections of random Jacobi operators. (English) Zbl 1241.65015 SIAM J. Numer. Anal. 50, No. 1, 287-306 (2012). MSC: 65C30 65J10 47B36 47B80 39A10 60H25 PDFBibTeX XMLCite \textit{M. Lindner} and \textit{S. Roch}, SIAM J. Numer. Anal. 50, No. 1, 287--306 (2012; Zbl 1241.65015) Full Text: DOI arXiv
Cox, Steven J.; Embree, Mark; Hokanson, Jeffrey M. One can hear the composition of a string: experiments with an inverse eigenvalue problem. (English) Zbl 1247.34027 SIAM Rev. 54, No. 1, 157-178 (2012). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 34A55 47B36 65F18 70J10 97M50 34B09 PDFBibTeX XMLCite \textit{S. J. Cox} et al., SIAM Rev. 54, No. 1, 157--178 (2012; Zbl 1247.34027) Full Text: DOI
Cui, Jianlian; Forstall, Virginia; Li, Chi-Kwong; Yannello, Vincent Properties and preservers of the pseudospectrum. (English) Zbl 1245.15028 Linear Algebra Appl. 436, No. 2, 316-325 (2012). Reviewer: Alexander Guterman (Moskva) MSC: 15A86 15A18 15A60 15B57 15B48 PDFBibTeX XMLCite \textit{J. Cui} et al., Linear Algebra Appl. 436, No. 2, 316--325 (2012; Zbl 1245.15028) Full Text: DOI Link
Diago, Luis A.; Kitaoka, Tetsuko Analyzing facial expressions with fuzzy quantification theory. II: Indefinite generalized eigenvalue problem. (English) Zbl 1252.68241 Japan J. Ind. Appl. Math. 28, No. 1, 153-170 (2011). MSC: 68T10 68T05 68T37 65F15 PDFBibTeX XMLCite \textit{L. A. Diago} and \textit{T. Kitaoka}, Japan J. Ind. Appl. Math. 28, No. 1, 153--170 (2011; Zbl 1252.68241) Full Text: DOI
Kressner, Daniel; Tobler, Christine Low-rank tensor Krylov subspace methods for parametrized linear systems. (English) Zbl 1237.65034 SIAM J. Matrix Anal. Appl. 32, No. 4, 1288-1316 (2011). MSC: 65F10 15A69 65F08 35J25 65N30 60H15 35R60 60H35 65C30 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{C. Tobler}, SIAM J. Matrix Anal. Appl. 32, No. 4, 1288--1316 (2011; Zbl 1237.65034) Full Text: DOI Link
Grcar, Joseph F. John von Neumann’s analysis of Gaussian elimination and the origins of modern numerical analysis. (English) Zbl 1314.65005 SIAM Rev. 53, No. 4, 607-682 (2011). Reviewer: Albert C. Lewis (Austin) MSC: 65-03 65F05 01A60 65Y04 68-03 65G50 PDFBibTeX XMLCite \textit{J. F. Grcar}, SIAM Rev. 53, No. 4, 607--682 (2011; Zbl 1314.65005) Full Text: DOI
Ransford, Thomas; Rostand, Jérémie Pseudospectra do not determine norm behavior, even for matrices with only simple eigenvalues. (English) Zbl 1231.15013 Linear Algebra Appl. 435, No. 12, 3024-3028 (2011). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15A18 15A60 PDFBibTeX XMLCite \textit{T. Ransford} and \textit{J. Rostand}, Linear Algebra Appl. 435, No. 12, 3024--3028 (2011; Zbl 1231.15013) Full Text: DOI
Saad, Yousef Numerical methods for large eigenvalue problems. Revised ed. (English) Zbl 1242.65068 Classics in Applied Mathematics 66. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611970-72-2/pbk; 978-1-611970-73-9/ebook). xvi, 276 p. (2011). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 65-02 65F50 65F08 65F10 PDFBibTeX XMLCite \textit{Y. Saad}, Numerical methods for large eigenvalue problems. Revised ed. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2011; Zbl 1242.65068) Full Text: DOI
Alam, Rafikul; Bora, Shreemayee; Byers, Ralph; Overton, Michael L. Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components. (English) Zbl 1228.65062 Linear Algebra Appl. 435, No. 3, 494-513 (2011). Reviewer: Edgar Pereira (Covilha) MSC: 65F30 65F15 PDFBibTeX XMLCite \textit{R. Alam} et al., Linear Algebra Appl. 435, No. 3, 494--513 (2011; Zbl 1228.65062) Full Text: DOI
Sastre, J.; Ibáñez, J.; Defez, E.; Ruiz, P. Efficient orthogonal matrix polynomial based method for computing matrix exponential. (English) Zbl 1211.65052 Appl. Math. Comput. 217, No. 14, 6451-6463 (2011). MSC: 65F30 15A16 34A30 65L05 PDFBibTeX XMLCite \textit{J. Sastre} et al., Appl. Math. Comput. 217, No. 14, 6451--6463 (2011; Zbl 1211.65052) Full Text: DOI Link
Hansen, Anders C. On the solvability complexity index, the \(n\)-pseudospectrum and approximations of spectra of operators. (English) Zbl 1210.47013 J. Am. Math. Soc. 24, No. 1, 81-124 (2011). Reviewer: Rudolf Kodnár (Bratislava) MSC: 68Q15 47A10 47A75 46L05 81Q10 81Q12 65J10 PDFBibTeX XMLCite \textit{A. C. Hansen}, J. Am. Math. Soc. 24, No. 1, 81--124 (2011; Zbl 1210.47013) Full Text: DOI
Boulton, Lyonell; Lancaster, Peter Schur decompositions of a matrix and the boundary of its pseudospectrum. (English) Zbl 1209.15014 SIAM J. Matrix Anal. Appl. 31, No. 5, 2921-2933 (2010). MSC: 15A18 15A60 65F35 PDFBibTeX XMLCite \textit{L. Boulton} and \textit{P. Lancaster}, SIAM J. Matrix Anal. Appl. 31, No. 5, 2921--2933 (2010; Zbl 1209.15014) Full Text: DOI arXiv
Griffiths, David F.; Higham, Desmond J. Numerical methods for ordinary differential equations. Initial value problems. (English) Zbl 1209.65070 Springer Undergraduate Mathematics Series. London: Springer (ISBN 978-0-85729-147-9/pbk; 978-0-85729-148-6/ebook). xiv, 271 p. (2010). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65L05 65-01 65L06 65L07 65C30 34A12 60H10 34F05 65L50 34A26 PDFBibTeX XMLCite \textit{D. F. Griffiths} and \textit{D. J. Higham}, Numerical methods for ordinary differential equations. Initial value problems. London: Springer (2010; Zbl 1209.65070) Full Text: DOI
Ahmad, Sk. Safique; Alam, Rafikul; Byers, Ralph On pseudospectra, critical points, and multiple eigenvalues of matrix pencils. (English) Zbl 1206.65137 SIAM J. Matrix Anal. Appl. 31, No. 4, 1915-1933 (2010). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 15A22 15A60 15A18 65F35 PDFBibTeX XMLCite \textit{Sk. S. Ahmad} et al., SIAM J. Matrix Anal. Appl. 31, No. 4, 1915--1933 (2010; Zbl 1206.65137) Full Text: DOI
Lewis, Adrian S.; Pang, C. H. Jeffrey Lipschitz behavior of the robust regularization. (English) Zbl 1202.49047 SIAM J. Control Optim. 48, No. 5, 3080-3104 (2009). MSC: 49N60 93B35 65K10 90C30 15A18 14P10 PDFBibTeX XMLCite \textit{A. S. Lewis} and \textit{C. H. J. Pang}, SIAM J. Control Optim. 48, No. 5, 3080--3104 (2010; Zbl 1202.49047) Full Text: DOI arXiv
Al-Mohy, Awad H.; Higham, Nicholas J. A new scaling and squaring algorithm for the matrix exponential. (English) Zbl 1194.15021 SIAM J. Matrix Anal. Appl. 31(2009), No. 3, 970-989 (2010). MSC: 15A60 65F30 PDFBibTeX XMLCite \textit{A. H. Al-Mohy} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 31, No. 3, 970--989 (2010; Zbl 1194.15021) Full Text: DOI
Grcar, Joseph F. A matrix lower bound. (English) Zbl 1201.15010 Linear Algebra Appl. 433, No. 1, 203-220 (2010). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A45 15A03 15A60 15A12 15A18 PDFBibTeX XMLCite \textit{J. F. Grcar}, Linear Algebra Appl. 433, No. 1, 203--220 (2010; Zbl 1201.15010) Full Text: DOI
Cherubini, S.; Robinet, J.-Ch.; De Palma, P. The effects of non-normality and nonlinearity of the Navier-Stokes operator on the dynamics of a large laminar separation bubble. (English) Zbl 1183.76146 Phys. Fluids 22, No. 1, Paper No. 014102, 15 p. (2010). MSC: 76-XX PDFBibTeX XMLCite \textit{S. Cherubini} et al., Phys. Fluids 22, No. 1, Paper No. 014102, 15 p. (2010; Zbl 1183.76146) Full Text: DOI
Liesen, Jörg; Tichý, Petr On best approximations of polynomials in matrices in the matrix 2-norm. (English) Zbl 1190.41011 SIAM J. Matrix Anal. Appl. 31, No. 2, 853-863 (2009). MSC: 41A52 15A60 65F35 PDFBibTeX XMLCite \textit{J. Liesen} and \textit{P. Tichý}, SIAM J. Matrix Anal. Appl. 31, No. 2, 853--863 (2009; Zbl 1190.41011) Full Text: DOI Link
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
Geiser, Juergen Decomposition methods for differential equations. Theory and applications. (English) Zbl 1188.65132 Chapman & Hall/CRC Numerical Analysis and Scientific Computing. Boca Raton, FL: CRC Press (ISBN 978-1-4398-1096-5/hbk; 978-1-138-11414-2/pbk; 978-1-4398-1097-2/ebook). xxiii, 294 p. (2009). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M55 65-02 65M12 65M60 65P40 65Z05 35K55 35L70 PDFBibTeX XMLCite \textit{J. Geiser}, Decomposition methods for differential equations. Theory and applications. Boca Raton, FL: CRC Press (2009; Zbl 1188.65132) Full Text: DOI
Ahmad, Sk. Safique; Alam, Rafikul Pseudospectra, critical points and multiple eigenvalues of matrix polynomials. (English) Zbl 1168.15007 Linear Algebra Appl. 430, No. 4, 1171-1195 (2009). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A22 15A60 65F15 15A18 65F35 PDFBibTeX XMLCite \textit{Sk. S. Ahmad} and \textit{R. Alam}, Linear Algebra Appl. 430, No. 4, 1171--1195 (2009; Zbl 1168.15007) Full Text: DOI
Greenbaum, Anne Upper and lower bounds on norms of functions of matrices. (English) Zbl 1155.15032 Linear Algebra Appl. 430, No. 1, 52-65 (2009). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A60 15A45 30D50 30E05 PDFBibTeX XMLCite \textit{A. Greenbaum}, Linear Algebra Appl. 430, No. 1, 52--65 (2009; Zbl 1155.15032) Full Text: DOI
Sieber, Jan; Krauskopf, Bernd Control-based bifurcation analysis for experiments. (English) Zbl 1170.70399 Nonlinear Dyn. 51, No. 3, 365-377 (2008). MSC: 70Q05 70K50 70F40 PDFBibTeX XMLCite \textit{J. Sieber} and \textit{B. Krauskopf}, Nonlinear Dyn. 51, No. 3, 365--377 (2008; Zbl 1170.70399) Full Text: DOI Link
Papathanasiou, Nikolaos; Psarrakos, Panayiotis The distance from a matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue. (English) Zbl 1161.15010 Linear Algebra Appl. 429, No. 7, 1453-1477 (2008). Reviewer: Alan L. Andrew (Bundoora) MSC: 15A60 15A12 15A22 15A18 15A54 PDFBibTeX XMLCite \textit{N. Papathanasiou} and \textit{P. Psarrakos}, Linear Algebra Appl. 429, No. 7, 1453--1477 (2008; Zbl 1161.15010) Full Text: DOI
Wagenknecht, T.; Michiels, W.; Green, K. Structured pseudospectra for nonlinear eigenvalue problems. (English) Zbl 1149.65063 J. Comput. Appl. Math. 212, No. 2, 245-259 (2008). Reviewer: Roland Pulch (Wuppertal) MSC: 65L15 34L16 34L30 34K28 65H17 PDFBibTeX XMLCite \textit{T. Wagenknecht} et al., J. Comput. Appl. Math. 212, No. 2, 245--259 (2008; Zbl 1149.65063) Full Text: DOI
Simoncini, Valeria; Szyld, Daniel B. Recent computational developments in Krylov subspace methods for linear systems. (English) Zbl 1199.65112 Numer. Linear Algebra Appl. 14, No. 1, 1-59 (2007). MSC: 65F10 65F50 65-02 PDFBibTeX XMLCite \textit{V. Simoncini} and \textit{D. B. Szyld}, Numer. Linear Algebra Appl. 14, No. 1, 1--59 (2007; Zbl 1199.65112) Full Text: DOI
Burke, J. V.; Lewis, A. S.; Overton, M. L. Convexity and Lipschitz behavior of small pseudospectra. (English) Zbl 1153.15013 SIAM J. Matrix Anal. Appl. 29, No. 2, 586-595 (2007). Reviewer: John D. Dixon (Ottawa) MSC: 15A18 65K05 90C30 93D09 PDFBibTeX XMLCite \textit{J. V. Burke} et al., SIAM J. Matrix Anal. Appl. 29, No. 2, 586--595 (2007; Zbl 1153.15013) Full Text: DOI
Watkins, David S. The matrix eigenvalue problem. GR and Krylov subspace methods. (English) Zbl 1142.65038 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-41-2/pbk; 978-0-89871-780-8/ebook). x, 442 p. (2007). Reviewer: Michael Jung (Dresden) MSC: 65F15 65-01 65F50 65F10 15A18 PDFBibTeX XMLCite \textit{D. S. Watkins}, The matrix eigenvalue problem. GR and Krylov subspace methods. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2007; Zbl 1142.65038) Full Text: DOI
LeVeque, Randall J. Finite difference methods for ordinary and partial differential equations. Steady-state and time-dependent problems. (English) Zbl 1127.65080 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-29-0/pbk). xv, 341 p. (2007). Reviewer: Erwin Schechter (Moers) MSC: 65N06 65-02 65L12 65M06 65L20 65L70 65M12 65M15 65N12 65N15 PDFBibTeX XMLCite \textit{R. J. LeVeque}, Finite difference methods for ordinary and partial differential equations. Steady-state and time-dependent problems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2007; Zbl 1127.65080)
Karow, Michael; Hinrichsen, Diederich; Pritchard, Anthony J. Interconnected systems with uncertain couplings: Explicit formulae for \(\mu\)-values, spectral value sets, and stability radii. (English) Zbl 1118.15009 SIAM J. Control Optim. 45, No. 3, 856-884 (2006). Reviewer: John D. Dixon (Ottawa) MSC: 15A18 65F15 15A60 15A42 PDFBibTeX XMLCite \textit{M. Karow} et al., SIAM J. Control Optim. 45, No. 3, 856--884 (2006; Zbl 1118.15009) Full Text: DOI
Burke, James V.; Greenbaum, Anne Characterizations of the polynomial numerical hull of degree \(k\). (English) Zbl 1106.15018 Linear Algebra Appl. 419, No. 1, 37-47 (2006). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 47A12 47B35 PDFBibTeX XMLCite \textit{J. V. Burke} and \textit{A. Greenbaum}, Linear Algebra Appl. 419, No. 1, 37--47 (2006; Zbl 1106.15018) Full Text: DOI
Söderlind, Gustaf The logarithmic norm. History and modern theory. (English) Zbl 1102.65088 BIT 46, No. 3, 631-652 (2006). MSC: 65L70 65L20 65L05 65-03 34A34 01A61 65-02 PDFBibTeX XMLCite \textit{G. Söderlind}, BIT 46, No. 3, 631--652 (2006; Zbl 1102.65088) Full Text: DOI
Higham, D. J.; Mao, X. Nonnormality and stochastic differential equations. (English) Zbl 1105.65007 BIT 46, No. 3, 525-532 (2006). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 34F05 60H10 65L20 65L06 65L07 PDFBibTeX XMLCite \textit{D. J. Higham} and \textit{X. Mao}, BIT 46, No. 3, 525--532 (2006; Zbl 1105.65007) Full Text: DOI
Lindner, Marko Infinite matrices and their finite sections. An introduction to the limit operator method. (English) Zbl 1107.47001 Frontiers in Mathematics. Basel: Birkhäuser (ISBN 3-7643-7766-6/pbk). xv, 191 p. (2006). Reviewer: Adhemar Bultheel (Leuven) MSC: 47-02 47L80 47A53 65-02 47B38 47L10 65J10 65R20 46E40 47B10 47C05 47L15 47L20 65F15 74J20 PDFBibTeX XMLCite \textit{M. Lindner}, Infinite matrices and their finite sections. An introduction to the limit operator method. Basel: Birkhäuser (2006; Zbl 1107.47001)
Böttcher, Albrecht; Grudsky, Sergei M. Spectral properties of banded Toeplitz matrices. (English) Zbl 1089.47001 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-599-7/pbk; 978-0-89871-785-3/ebook). x, 411 p. (2005). Reviewer: Alexei Yu. Karlovich (Braga) MSC: 47-02 15A09 15A18 15A60 47B35 47B80 47N20 47N30 47N40 65F15 65F35 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. M. Grudsky}, Spectral properties of banded Toeplitz matrices. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2005; Zbl 1089.47001) Full Text: DOI
Davies, E. B. Spectral bounds using higher-order numerical ranges. (English) Zbl 1119.47004 LMS J. Comput. Math. 8, 17-45 (2005). MSC: 47A10 47B25 47N55 60H25 15A42 15A60 82B44 PDFBibTeX XMLCite \textit{E. B. Davies}, LMS J. Comput. Math. 8, 17--45 (2005; Zbl 1119.47004) Full Text: DOI Link
Kressner, Daniel Numerical methods for general and structured eigenvalue problems. (English) Zbl 1079.65041 Lecture Notes in Computational Science and Engineering 46. Berlin: Springer (ISBN 3-540-24546-4/pbk). xiv, 258 p. (2005). Reviewer: Amin Boumenir (Carrollton) MSC: 65F15 65-02 PDFBibTeX XMLCite \textit{D. Kressner}, Numerical methods for general and structured eigenvalue problems. Berlin: Springer (2005; Zbl 1079.65041) Full Text: DOI
Muite, Benson K. The flow in a cylindrical container with a rotating end wall at small but finite Reynolds number. (English) Zbl 1187.76371 Phys. Fluids 16, No. 10, Paper No. 3614, 13 p. (2004). MSC: 76-XX PDFBibTeX XMLCite \textit{B. K. Muite}, Phys. Fluids 16, No. 10, Paper No. 3614, 13 p. (2004; Zbl 1187.76371) Full Text: DOI Link
Gheorghiu, Călin-Ioan On the scalar measure of non-normality of matrices-dimension vs. structure. (English) Zbl 1249.65102 Gen. Math. 11, No. 1-2, 21-32 (2003). MSC: 65F35 65F50 15A60 15A12 PDFBibTeX XMLCite \textit{C.-I. Gheorghiu}, Gen. Math. 11, No. 1--2, 21--32 (2003; Zbl 1249.65102)
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
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