Correnty, Siobhán; Jarlebring, Elias; Szyld, Daniel B. Preconditioned Chebyshev BiCG method for parameterized linear systems. (English) Zbl 07799508 ETNA, Electron. Trans. Numer. Anal. 58, 629-656 (2023). MSC: 65F08 65F10 15A06 PDFBibTeX XMLCite \textit{S. Correnty} et al., ETNA, Electron. Trans. Numer. Anal. 58, 629--656 (2023; Zbl 07799508) Full Text: DOI arXiv Link
Badreddine, Siwar; Chollet, Igor; Grigori, Laura Factorized structure of the long-range two-electron integrals tensor and its application in quantum chemistry. (English) Zbl 07748046 J. Comput. Phys. 493, Article ID 112460, 29 p. (2023). MSC: 65Fxx 65Dxx 15Axx PDFBibTeX XMLCite \textit{S. Badreddine} et al., J. Comput. Phys. 493, Article ID 112460, 29 p. (2023; Zbl 07748046) Full Text: DOI arXiv
Mitchell, Tim Fast computation of \(\mathrm{sep}_\lambda\) via interpolation-based globality certificates. (English) Zbl 1524.65169 ETNA, Electron. Trans. Numer. Anal. 58, 402-431 (2023). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{T. Mitchell}, ETNA, Electron. Trans. Numer. Anal. 58, 402--431 (2023; Zbl 1524.65169) Full Text: DOI arXiv Link
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
Caliari, Marco; Cassini, Fabio; Zivcovich, Franco A \(\mu\)-mode BLAS approach for multidimensional tensor-structured problems. (English) Zbl 1528.15001 Numer. Algorithms 92, No. 4, 2483-2508 (2023). MSC: 15-04 15A69 65Y04 PDFBibTeX XMLCite \textit{M. Caliari} et al., Numer. Algorithms 92, No. 4, 2483--2508 (2023; Zbl 1528.15001) Full Text: DOI arXiv
Barash, Lev; Güttel, Stefan; Hen, Itay Calculating elements of matrix functions using divided differences. (English) Zbl 1525.15004 Comput. Phys. Commun. 271, Article ID 108219, 9 p. (2022). MSC: 15A16 15A15 82B20 81V70 PDFBibTeX XMLCite \textit{L. Barash} et al., Comput. Phys. Commun. 271, Article ID 108219, 9 p. (2022; Zbl 1525.15004) Full Text: DOI arXiv
Saibaba, Arvind K.; Minster, Rachel; Kilmer, Misha E. Efficient randomized tensor-based algorithms for function approximation and low-rank kernel interactions. (English) Zbl 1505.65184 Adv. Comput. Math. 48, No. 5, Paper No. 66, 39 p. (2022). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{A. K. Saibaba} et al., Adv. Comput. Math. 48, No. 5, Paper No. 66, 39 p. (2022; Zbl 1505.65184) Full Text: DOI arXiv
Hund, Manuela; Mitchell, Tim; Mlinarić, Petar; Saak, Jens Optimization-based parametric model order reduction via \(\mathcal{H}_2\otimes\mathcal{L}_2\) first-order necessary conditions. (English) Zbl 1492.65227 SIAM J. Sci. Comput. 44, No. 3, A1554-A1578 (2022). MSC: 65L99 15A24 46N10 65K05 65Y20 93-08 93A15 PDFBibTeX XMLCite \textit{M. Hund} et al., SIAM J. Sci. Comput. 44, No. 3, A1554--A1578 (2022; Zbl 1492.65227) Full Text: DOI arXiv
Overton, Michael L. Local minimizers of the Crouzeix ratio: a nonsmooth optimization case study. (English) Zbl 1486.15029 Calcolo 59, No. 1, Paper No. 8, 19 p. (2022). Reviewer: Julio Benítez Lopez (Valencia) MSC: 15A60 49J52 PDFBibTeX XMLCite \textit{M. L. Overton}, Calcolo 59, No. 1, Paper No. 8, 19 p. (2022; Zbl 1486.15029) Full Text: DOI arXiv
Solary, Maryam Shams Eigenvalues for tridiagonal 3-Toeplitz matrices. (English) Zbl 1499.15108 J. Mahani Math. Res. Cent. 10, No. 2, 63-72 (2021). MSC: 15B05 15A18 PDFBibTeX XMLCite \textit{M. S. Solary}, J. Mahani Math. Res. Cent. 10, No. 2, 63--72 (2021; Zbl 1499.15108) Full Text: DOI
De Sterck, Hans; He, Yunhui On the asymptotic linear convergence speed of Anderson acceleration, Nesterov acceleration, and nonlinear GMRES. (English) Zbl 1490.65120 SIAM J. Sci. Comput. 43, No. 5, S21-S46 (2021). MSC: 65K10 49M37 65H10 65F08 65F10 15A69 PDFBibTeX XMLCite \textit{H. De Sterck} and \textit{Y. He}, SIAM J. Sci. Comput. 43, No. 5, S21--S46 (2021; Zbl 1490.65120) Full Text: DOI arXiv
Chen, Hongjia; Xu, Kuan On the backward error incurred by the compact rational Krylov linearization. (English) Zbl 1473.65045 J. Sci. Comput. 89, No. 1, Paper No. 15, 22 p. (2021). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{H. Chen} and \textit{K. Xu}, J. Sci. Comput. 89, No. 1, Paper No. 15, 22 p. (2021; Zbl 1473.65045) Full Text: DOI
Ye, Xin; Xi, Yuanzhe; Saad, Yousef Proxy-GMRES: preconditioning via GMRES in polynomial space. (English) Zbl 1528.65020 SIAM J. Matrix Anal. Appl. 42, No. 3, 1248-1267 (2021). MSC: 65F08 65F10 65F50 15A06 PDFBibTeX XMLCite \textit{X. Ye} et al., SIAM J. Matrix Anal. Appl. 42, No. 3, 1248--1267 (2021; Zbl 1528.65020) Full Text: DOI
Dolgov, Sergey; Kressner, Daniel; Strössner, Christoph Functional Tucker approximation using Chebyshev interpolation. (English) Zbl 1510.65033 SIAM J. Sci. Comput. 43, No. 3, A2190-A2210 (2021). MSC: 65D15 41A10 41A63 15A69 65F55 PDFBibTeX XMLCite \textit{S. Dolgov} et al., SIAM J. Sci. Comput. 43, No. 3, A2190--A2210 (2021; Zbl 1510.65033) Full Text: DOI arXiv
Shi, Tianyi; Townsend, Alex On the compressibility of tensors. (English) Zbl 07331674 SIAM J. Matrix Anal. Appl. 42, No. 1, 275-298 (2021). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{T. Shi} and \textit{A. Townsend}, SIAM J. Matrix Anal. Appl. 42, No. 1, 275--298 (2021; Zbl 07331674) Full Text: DOI arXiv
Nakatsukasa, Yuji; Townsend, Alex Error localization of best \(L_1\) polynomial approximants. (English) Zbl 1461.65018 SIAM J. Numer. Anal. 59, No. 1, 314-333 (2021). MSC: 65D15 65F15 15A18 15A22 PDFBibTeX XMLCite \textit{Y. Nakatsukasa} and \textit{A. Townsend}, SIAM J. Numer. Anal. 59, No. 1, 314--333 (2021; Zbl 1461.65018) 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
Frommer, Andreas; Hashemi, Behnam Computing enclosures for the matrix exponential. (English) Zbl 1459.65056 SIAM J. Matrix Anal. Appl. 41, No. 4, 1674-1703 (2020). MSC: 65F60 65G20 15A16 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{B. Hashemi}, SIAM J. Matrix Anal. Appl. 41, No. 4, 1674--1703 (2020; Zbl 1459.65056) Full Text: DOI
Lewis, A. S.; Overton, M. L. Partial smoothness of the numerical radius at matrices whose fields of values are disks. (English) Zbl 1456.49017 SIAM J. Matrix Anal. Appl. 41, No. 3, 1004-1032 (2020). MSC: 49J52 15A60 PDFBibTeX XMLCite \textit{A. S. Lewis} and \textit{M. L. Overton}, SIAM J. Matrix Anal. Appl. 41, No. 3, 1004--1032 (2020; Zbl 1456.49017) Full Text: DOI arXiv
Hofreither, Clemens A unified view of some numerical methods for fractional diffusion. (English) Zbl 1446.65153 Comput. Math. Appl. 80, No. 2, 332-350 (2020). MSC: 65N22 44A10 15A69 35R11 26A33 41A20 35P99 PDFBibTeX XMLCite \textit{C. Hofreither}, Comput. Math. Appl. 80, No. 2, 332--350 (2020; Zbl 1446.65153) 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
Massei, Stefano; Mazza, Mariarosa; Robol, Leonardo Fast solvers for two-dimensional fractional diffusion equations using rank structured matrices. (English) Zbl 1420.65096 SIAM J. Sci. Comput. 41, No. 4, A2627-A2656 (2019). MSC: 65M22 35R11 15A24 65M06 65M60 65F10 PDFBibTeX XMLCite \textit{S. Massei} et al., SIAM J. Sci. Comput. 41, No. 4, A2627--A2656 (2019; Zbl 1420.65096) Full Text: DOI arXiv
Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis Stable computation of generalized matrix functions via polynomial interpolation. (English) Zbl 1409.65030 SIAM J. Matrix Anal. Appl. 40, No. 1, 210-234 (2019). MSC: 65F60 15A16 05C50 PDFBibTeX XMLCite \textit{J. L. Aurentz} et al., SIAM J. Matrix Anal. Appl. 40, No. 1, 210--234 (2019; Zbl 1409.65030) Full Text: DOI
Zouros, Grigorios P. CCOMP: an efficient algorithm for complex roots computation of determinantal equations. (English) Zbl 07693055 Comput. Phys. Commun. 222, 339-350 (2018). MSC: 65-XX 15-XX PDFBibTeX XMLCite \textit{G. P. Zouros}, Comput. Phys. Commun. 222, 339--350 (2018; Zbl 07693055) Full Text: DOI
Greenbaum, Anne; Overton, Michael L. Numerical investigation of Crouzeix’s conjecture. (English) Zbl 1415.15021 Linear Algebra Appl. 542, 225-245 (2018). MSC: 15A60 47N10 PDFBibTeX XMLCite \textit{A. Greenbaum} and \textit{M. L. Overton}, Linear Algebra Appl. 542, 225--245 (2018; Zbl 1415.15021) Full Text: DOI
Hashemi, Behnam; Nakatsukasa, Yuji On the spectral problem for trivariate functions. (English) Zbl 06989586 BIT 58, No. 4, 981-1008 (2018). MSC: 65K10 15A18 15A69 PDFBibTeX XMLCite \textit{B. Hashemi} and \textit{Y. Nakatsukasa}, BIT 58, No. 4, 981--1008 (2018; Zbl 06989586) Full Text: DOI Link
Massei, Stefano; Palitta, Davide; Robol, Leonardo Solving rank-structured Sylvester and Lyapunov equations. (English) Zbl 1404.65036 SIAM J. Matrix Anal. Appl. 39, No. 4, 1564-1590 (2018). MSC: 65F30 65F50 15A24 65D32 65Y15 PDFBibTeX XMLCite \textit{S. Massei} et al., SIAM J. Matrix Anal. Appl. 39, No. 4, 1564--1590 (2018; Zbl 1404.65036) Full Text: DOI arXiv
Sharon, Nir; Shkolnisky, Yoel Evaluating non-analytic functions of matrices. (English) Zbl 1402.65038 J. Math. Anal. Appl. 462, No. 1, 613-636 (2018). MSC: 65F60 15A16 15A60 41A50 65F35 PDFBibTeX XMLCite \textit{N. Sharon} and \textit{Y. Shkolnisky}, J. Math. Anal. Appl. 462, No. 1, 613--636 (2018; Zbl 1402.65038) Full Text: DOI arXiv
Townsend, Alex; Wilber, Heather On the singular values of matrices with high displacement rank. (English) Zbl 1446.65022 Linear Algebra Appl. 548, 19-41 (2018). MSC: 65F45 65F15 15A24 65F55 PDFBibTeX XMLCite \textit{A. Townsend} and \textit{H. Wilber}, Linear Algebra Appl. 548, 19--41 (2018; Zbl 1446.65022) Full Text: DOI arXiv
Townsend, Alex; Webb, Marcus; Olver, Sheehan Fast polynomial transforms based on Toeplitz and Hankel matrices. (English) Zbl 1478.65147 Math. Comput. 87, No. 312, 1913-1934 (2018). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 42C05 15B05 PDFBibTeX XMLCite \textit{A. Townsend} et al., Math. Comput. 87, No. 312, 1913--1934 (2018; Zbl 1478.65147) Full Text: DOI arXiv
Khoromskaia, Venera; Khoromskij, Boris N. Tensor numerical methods in quantum chemistry. (English) Zbl 1503.65003 Berlin: De Gruyter (ISBN 978-3-11-037015-7/hbk; 978-3-11-036583-2/ebook). viii, 289 p. (2018). MSC: 65-02 65N25 65N30 15A69 92-08 92Exx PDFBibTeX XMLCite \textit{V. Khoromskaia} and \textit{B. N. Khoromskij}, Tensor numerical methods in quantum chemistry. Berlin: De Gruyter (2018; Zbl 1503.65003) Full Text: DOI
Kressner, Daniel; Periša, Lana Recompression of Hadamard products of tensors in Tucker format. (English) Zbl 1373.65031 SIAM J. Sci. Comput. 39, No. 5, A1879-A1902 (2017). MSC: 65F30 15A69 65Y20 62-07 65F10 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{L. Periša}, SIAM J. Sci. Comput. 39, No. 5, A1879--A1902 (2017; Zbl 1373.65031) Full Text: DOI
Lawrence, Piers W.; Pérez, Javier Constructing strong linearizations of matrix polynomials expressed in Chebyshev bases. (English) Zbl 1371.65034 SIAM J. Matrix Anal. Appl. 38, No. 3, 683-709 (2017). MSC: 65F15 15A54 15A22 PDFBibTeX XMLCite \textit{P. W. Lawrence} and \textit{J. Pérez}, SIAM J. Matrix Anal. Appl. 38, No. 3, 683--709 (2017; Zbl 1371.65034) Full Text: DOI
Nakatsukasa, Yuji; Noferini, Vanni; Townsend, Alex Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach. (English) Zbl 1355.65058 SIAM J. Matrix Anal. Appl. 38, No. 1, 1-29 (2017). MSC: 65F15 15A18 15A22 PDFBibTeX XMLCite \textit{Y. Nakatsukasa} et al., SIAM J. Matrix Anal. Appl. 38, No. 1, 1--29 (2017; Zbl 1355.65058) Full Text: DOI arXiv
Noferini, Vanni; Pérez, Javier Fiedler-comrade and Fiedler-Chebyshev pencils. (English) Zbl 1349.15038 SIAM J. Matrix Anal. Appl. 37, No. 4, 1600-1624 (2016). MSC: 15A22 15A18 15A23 65H04 65F15 PDFBibTeX XMLCite \textit{V. Noferini} and \textit{J. Pérez}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1600--1624 (2016; Zbl 1349.15038) Full Text: DOI
Greenbaum, Anne; Caldwell, Trevor; Li, Kenan Near normal dilations of nonnormal matrices and linear operators. (English) Zbl 1388.15019 SIAM J. Matrix Anal. Appl. 37, No. 4, 1365-1381 (2016). MSC: 15A60 65F60 PDFBibTeX XMLCite \textit{A. Greenbaum} et al., SIAM J. Matrix Anal. Appl. 37, No. 4, 1365--1381 (2016; Zbl 1388.15019) Full Text: DOI
Ferrari, Patrik L.; Nejjar, Peter Shock fluctuations in flat TASEP under critical scaling. (English) Zbl 1323.82030 J. Stat. Phys. 160, No. 4, 985-1004 (2015). MSC: 82C22 82C31 82C24 15B52 60J75 PDFBibTeX XMLCite \textit{P. L. Ferrari} and \textit{P. Nejjar}, J. Stat. Phys. 160, No. 4, 985--1004 (2015; Zbl 1323.82030) Full Text: DOI arXiv
Hochstenbach, Michiel E.; Muhič, Andrej; Plestenjak, Bor Jacobi-Davidson methods for polynomial two-parameter eigenvalue problems. (English) Zbl 1503.65075 J. Comput. Appl. Math. 288, 251-263 (2015). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., J. Comput. Appl. Math. 288, 251--263 (2015; Zbl 1503.65075) Full Text: DOI
Austin, Anthony P.; Trefethen, Lloyd N. Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic. (English) Zbl 1328.15016 SIAM J. Sci. Comput. 37, No. 3, A1365-A1387 (2015). MSC: 15A18 41A20 65F15 PDFBibTeX XMLCite \textit{A. P. Austin} and \textit{L. N. Trefethen}, SIAM J. Sci. Comput. 37, No. 3, A1365--A1387 (2015; Zbl 1328.15016) Full Text: DOI Link
Boito, P.; Eidelman, Y.; Gemignani, L. Implicit QR for rank-structured matrix pencils. (English) Zbl 1290.65031 BIT 54, No. 1, 85-111 (2014). MSC: 65F15 65Y20 15B57 15A22 PDFBibTeX XMLCite \textit{P. Boito} et al., BIT 54, No. 1, 85--111 (2014; Zbl 1290.65031) Full Text: DOI
Karpfinger, Christian [Ludwig, Christian] Higher mathematics in recipes. Concepts, theorems and numerous examples in short learning units. With contributions by Christian Ludwig. (Höhere Mathematik in Rezepten. Begriffe, Sätze und zahlreiche Beispiele in kurzen Lerneinheiten.) (German) Zbl 1345.00003 Berlin: Springer Spektrum (ISBN 978-3-642-37865-2/pbk; 978-3-642-37866-9/ebook). xix, 838 p. (2014). Reviewer: Peter S. Bullen (Vancouver) MSC: 00A06 00A35 26-01 15-01 34-01 35-01 30-01 44-01 PDFBibTeX XMLCite \textit{C. Karpfinger}, Höhere Mathematik in Rezepten. Begriffe, Sätze und zahlreiche Beispiele in kurzen Lerneinheiten. Berlin: Springer Spektrum (2014; Zbl 1345.00003) Full Text: DOI
Uhlig, Frank On computing the generalized Crawford number of a matrix. (English) Zbl 1261.65044 Linear Algebra Appl. 438, No. 4, 1923-1935 (2013). MSC: 65F30 65F15 15B57 15A22 PDFBibTeX XMLCite \textit{F. Uhlig}, Linear Algebra Appl. 438, No. 4, 1923--1935 (2013; Zbl 1261.65044) Full Text: DOI
Barrowclough, Oliver J. D.; Dokken, Tor Approximate implicitization using linear algebra. (English) Zbl 1235.65018 J. Appl. Math. 2012, Article ID 293746, 25 p. (2012). MSC: 65D17 14Q05 14Q10 15-04 PDFBibTeX XMLCite \textit{O. J. D. Barrowclough} and \textit{T. Dokken}, J. Appl. Math. 2012, Article ID 293746, 25 p. (2012; Zbl 1235.65018) Full Text: DOI arXiv
Bornemann, F. On the numerical evaluation of distributions in random matrix theory: a review. (English) Zbl 1222.60013 Markov Process. Relat. Fields 16, No. 4, 803-866 (2010). MSC: 60B20 15B52 65R20 33E17 47G10 PDFBibTeX XMLCite \textit{F. Bornemann}, Markov Process. Relat. Fields 16, No. 4, 803--866 (2010; Zbl 1222.60013) Full Text: arXiv
Guo, Chun-Hua; Higham, Nicholas J.; Tisseur, Françoise An improved arc algorithm for detecting definite Hermitian pairs. (English) Zbl 1202.65054 SIAM J. Matrix Anal. Appl. 31(2009), No. 3, 1131-1151 (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 65F30 65F15 15A18 15B57 PDFBibTeX XMLCite \textit{C.-H. Guo} et al., SIAM J. Matrix Anal. Appl. 31, No. 3, 1131--1151 (2010; Zbl 1202.65054) Full Text: DOI
Uhlig, Frank Geometric computation of the numerical radius of a matrix. (English) Zbl 1178.65041 Numer. Algorithms 52, No. 3, 335-353 (2009). MSC: 65F30 15-04 15A60 51M16 PDFBibTeX XMLCite \textit{F. Uhlig}, Numer. Algorithms 52, No. 3, 335--353 (2009; Zbl 1178.65041) Full Text: DOI
Ilić, M.; Turner, I. W. Approximating functions of a large sparse positive definite matrix using a spectral splitting method. (English) Zbl 1078.65540 ANZIAM J. 46C, Proc. 2004, C472-C487 (2005). MSC: 65F30 15B52 65F10 65F50 PDFBibTeX XMLCite \textit{M. Ilić} and \textit{I. W. Turner}, ANZIAM J. 46C, C472--C487 (2005; Zbl 1078.65540)