Massey, Pedro Admissible subspaces and the subspace iteration method. (English) Zbl 07813312 BIT 64, No. 1, Paper No. 12, 36 p. (2024). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{P. Massey}, BIT 64, No. 1, Paper No. 12, 36 p. (2024; Zbl 07813312) Full Text: DOI
De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. Generic eigenstructures of Hermitian pencils. (English) Zbl 07791527 SIAM J. Matrix Anal. Appl. 45, No. 1, 260-283 (2024). Reviewer: Roksana Słowik (Gliwice) MSC: 15A22 15A18 15A21 15B57 PDFBibTeX XMLCite \textit{F. De Terán} et al., SIAM J. Matrix Anal. Appl. 45, No. 1, 260--283 (2024; Zbl 07791527) Full Text: DOI arXiv
Li, Haibo The joint bidiagonalization of a matrix pair with inaccurate inner iterations. (English) Zbl 07791526 SIAM J. Matrix Anal. Appl. 45, No. 1, 232-259 (2024). MSC: 65F25 65F20 15A18 65G99 PDFBibTeX XMLCite \textit{H. Li}, SIAM J. Matrix Anal. Appl. 45, No. 1, 232--259 (2024; Zbl 07791526) Full Text: DOI arXiv
Chu, Eric K.-W.; Hou, Liangshao; Szyld, Daniel B.; Zhou, Jieyong Numerical solution of singular Sylvester equations. (English) Zbl 1522.65059 J. Comput. Appl. Math. 436, Article ID 115426, 17 p. (2024). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{E. K. W. Chu} et al., J. Comput. Appl. Math. 436, Article ID 115426, 17 p. (2024; Zbl 1522.65059) Full Text: DOI
Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor Solving singular generalized eigenvalue problems. II: Projection and augmentation. (English) Zbl 1526.65011 SIAM J. Matrix Anal. Appl. 44, No. 4, 1589-1618 (2023). MSC: 65F15 15A18 15A22 15A21 47A55 65F22 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1589--1618 (2023; Zbl 1526.65011) Full Text: DOI arXiv
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
Öztürk, Hasen Mekki Asymptotic behaviour of the non-real pair-eigenvalues of a two parameter eigenvalue problem. (English) Zbl 1514.15015 Complex Anal. Oper. Theory 17, No. 4, Paper No. 45, 18 p. (2023). Reviewer: Julio Benítez Lopez (Valencia) MSC: 15A18 47A11 47A25 PDFBibTeX XMLCite \textit{H. M. Öztürk}, Complex Anal. Oper. Theory 17, No. 4, Paper No. 45, 18 p. (2023; Zbl 1514.15015) Full Text: DOI
Vermeersch, Christof; De Moor, Bart Recursive algorithms to update a numerical basis matrix of the null space of the block row, (banded) block Toeplitz, and block Macaulay matrix. (English) Zbl 07682247 SIAM J. Sci. Comput. 45, No. 2, A596-A620 (2023). MSC: 65F25 65F15 65F50 15B05 PDFBibTeX XMLCite \textit{C. Vermeersch} and \textit{B. De Moor}, SIAM J. Sci. Comput. 45, No. 2, A596--A620 (2023; Zbl 07682247) 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
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
El-Halouy, Smahane; Noschese, Silvia; Reichel, Lothar Perron communicability and sensitivity of multilayer networks. (English) Zbl 1508.65031 Numer. Algorithms 92, No. 1, 597-617 (2023). MSC: 65F15 05C50 15A18 PDFBibTeX XMLCite \textit{S. El-Halouy} et al., Numer. Algorithms 92, No. 1, 597--617 (2023; Zbl 1508.65031) Full Text: DOI arXiv
Bini, D. A.; Iannazzo, B.; Meini, B.; Meng, J.; Robol, L. Computing eigenvalues of semi-infinite quasi-Toeplitz matrices. (English) Zbl 1507.65075 Numer. Algorithms 92, No. 1, 89-118 (2023). MSC: 65F15 15A18 15B05 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Numer. Algorithms 92, No. 1, 89--118 (2023; Zbl 1507.65075) 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
Vermeersch, Christof; De Moor, Bart Two complementary block Macaulay matrix algorithms to solve multiparameter eigenvalue problems. (English) Zbl 1506.15010 Linear Algebra Appl. 654, 177-209 (2022). Reviewer: Raffaella Pavani (Milano) MSC: 15A18 15A22 65F15 90C33 PDFBibTeX XMLCite \textit{C. Vermeersch} and \textit{B. De Moor}, Linear Algebra Appl. 654, 177--209 (2022; Zbl 1506.15010) Full Text: DOI
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
Košir, Tomaž; Plestenjak, Bor On the singular two-parameter eigenvalue problem. II. (English) Zbl 1492.15007 Linear Algebra Appl. 649, 433-451 (2022). MSC: 15A18 15A21 15A22 15A69 65F15 PDFBibTeX XMLCite \textit{T. Košir} and \textit{B. Plestenjak}, Linear Algebra Appl. 649, 433--451 (2022; Zbl 1492.15007) Full Text: DOI
Palitta, Davide; Lefteriu, Sanda An efficient, memory-saving approach for the Loewner framework. (English) Zbl 1497.65069 J. Sci. Comput. 91, No. 2, Paper No. 31, 25 p. (2022). MSC: 65F15 15A18 15B05 PDFBibTeX XMLCite \textit{D. Palitta} and \textit{S. Lefteriu}, J. Sci. Comput. 91, No. 2, Paper No. 31, 25 p. (2022; Zbl 1497.65069) Full Text: DOI arXiv
Samar, Mahvish; Lin, Fu-Rong Perturbation analysis and condition numbers for the Tikhonov regularization of total least squares problem and their statistical estimation. (English) Zbl 1486.65043 J. Comput. Appl. Math. 411, Article ID 114230, 19 p. (2022). MSC: 65F22 15A12 15A60 65F20 65F35 PDFBibTeX XMLCite \textit{M. Samar} and \textit{F.-R. Lin}, J. Comput. Appl. Math. 411, Article ID 114230, 19 p. (2022; Zbl 1486.65043) Full Text: DOI
Gidisu, Perfect Y.; Hochstenbach, Michiel E. A generalized CUR decomposition for matrix pairs. (English) Zbl 1492.65110 SIAM J. Math. Data Sci. 4, No. 1, 386-409 (2022). MSC: 65F55 15A23 65F15 PDFBibTeX XMLCite \textit{P. Y. Gidisu} and \textit{M. E. Hochstenbach}, SIAM J. Math. Data Sci. 4, No. 1, 386--409 (2022; Zbl 1492.65110) Full Text: DOI arXiv
Farooq, Aamir; Samar, Mahvish Sensitivity analysis for the generalized Cholesky block downdating problem. (English) Zbl 1486.15008 Linear Multilinear Algebra 70, No. 6, 997-1022 (2022). MSC: 15A12 15A24 15A23 15A60 65F35 PDFBibTeX XMLCite \textit{A. Farooq} and \textit{M. Samar}, Linear Multilinear Algebra 70, No. 6, 997--1022 (2022; Zbl 1486.15008) Full Text: DOI
Eisenmann, Henrik; Nakatsukasa, Yuji Solving two-parameter eigenvalue problems using an alternating method. (English) Zbl 1490.65059 Linear Algebra Appl. 643, 137-160 (2022). MSC: 65F15 15A18 15A69 PDFBibTeX XMLCite \textit{H. Eisenmann} and \textit{Y. Nakatsukasa}, Linear Algebra Appl. 643, 137--160 (2022; Zbl 1490.65059) Full Text: DOI arXiv
Bevilacqua, R.; Del Corso, G. M.; Gemignani, L. Orthogonal iterations on companion-like pencils. (English) Zbl 1487.65040 J. Sci. Comput. 91, No. 1, Paper No. 6, 22 p. (2022). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{R. Bevilacqua} et al., J. Sci. Comput. 91, No. 1, Paper No. 6, 22 p. (2022; Zbl 1487.65040) Full Text: DOI
Dong, Bo The homotopy method for the complete solution of quadratic two-parameter eigenvalue problems. (English) Zbl 1483.65059 J. Sci. Comput. 90, No. 1, Paper No. 18, 25 p. (2022). MSC: 65F15 15A22 15A69 15A18 34K20 PDFBibTeX XMLCite \textit{B. Dong}, J. Sci. Comput. 90, No. 1, Paper No. 18, 25 p. (2022; Zbl 1483.65059) Full Text: DOI
Luiken, Nick; van Leeuwen, Tristan Relaxed regularization for linear inverse problems. (English) Zbl 1490.65071 SIAM J. Sci. Comput. 43, No. 5, S269-S292 (2021). MSC: 65F22 65F10 15A18 15A29 PDFBibTeX XMLCite \textit{N. Luiken} and \textit{T. van Leeuwen}, SIAM J. Sci. Comput. 43, No. 5, S269--S292 (2021; Zbl 1490.65071) Full Text: DOI
Bender, Matías R.; Faugère, Jean-Charles; Mantzaflaris, Angelos; Tsigaridas, Elias Koszul-type determinantal formulas for families of mixed multilinear systems. (English) Zbl 1477.13053 SIAM J. Appl. Algebra Geom. 5, No. 4, 589-619 (2021). Reviewer: Carlos D’Andrea (Barcelona) MSC: 13P15 14Q20 15A18 PDFBibTeX XMLCite \textit{M. R. Bender} et al., SIAM J. Appl. Algebra Geom. 5, No. 4, 589--619 (2021; Zbl 1477.13053) Full Text: DOI arXiv
Palitta, Davide; Kürschner, Patrick On the convergence of Krylov methods with low-rank truncations. (English) Zbl 1482.65067 Numer. Algorithms 88, No. 3, 1383-1417 (2021). MSC: 65F45 15A06 15A24 PDFBibTeX XMLCite \textit{D. Palitta} and \textit{P. Kürschner}, Numer. Algorithms 88, No. 3, 1383--1417 (2021; Zbl 1482.65067) Full Text: DOI arXiv
Wu, Nian-Ci; Xiang, Hua Convergence analyses based on frequency decomposition for the randomized row iterative method. (English) Zbl 1481.65053 Inverse Probl. 37, No. 10, Article ID 105004, 21 p. (2021). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{N.-C. Wu} and \textit{H. Xiang}, Inverse Probl. 37, No. 10, Article ID 105004, 21 p. (2021; Zbl 1481.65053) Full Text: DOI
Ringh, Emil; Jarlebring, Elias Nonlinearizing two-parameter eigenvalue problems. (English) Zbl 07365300 SIAM J. Matrix Anal. Appl. 42, No. 2, 775-799 (2021). MSC: 65F15 15A18 47J10 65H17 15A22 15A69 PDFBibTeX XMLCite \textit{E. Ringh} and \textit{E. Jarlebring}, SIAM J. Matrix Anal. Appl. 42, No. 2, 775--799 (2021; Zbl 07365300) Full Text: DOI arXiv
Luiken, Nick; van Leeuwen, Tristan Relaxed regularization for linear inverse problems. (English) Zbl 1512.65071 SIAM J. Sci. Comput. 43, No. 3, S269-S292 (2021). MSC: 65F22 65F10 15A18 15A29 PDFBibTeX XMLCite \textit{N. Luiken} and \textit{T. van Leeuwen}, SIAM J. Sci. Comput. 43, No. 3, S269--S292 (2021; Zbl 1512.65071) Full Text: DOI arXiv
Pontes Duff, Igor; Kürschner, Patrick Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems. (English) Zbl 1469.93010 Linear Algebra Appl. 623, 367-397 (2021). MSC: 93B11 93A15 93C05 93C55 15A24 PDFBibTeX XMLCite \textit{I. Pontes Duff} and \textit{P. Kürschner}, Linear Algebra Appl. 623, 367--397 (2021; Zbl 1469.93010) Full Text: DOI arXiv
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
Wang, Shaoxin; Yang, Hu Conditioning theory of the equality constrained quadratic programming and its applications. (English) Zbl 1467.65037 Linear Multilinear Algebra 69, No. 6, 1161-1183 (2021). MSC: 65F35 15A12 15A60 PDFBibTeX XMLCite \textit{S. Wang} and \textit{H. Yang}, Linear Multilinear Algebra 69, No. 6, 1161--1183 (2021; Zbl 1467.65037) Full Text: DOI
Samar, Mahvish; Li, Hanyu; Wei, Yimin Condition numbers for the \(K\)-weighted pseudoinverse \(L^\dagger_K\) and their statistical estimation. (English) Zbl 1467.65036 Linear Multilinear Algebra 69, No. 4, 752-770 (2021). MSC: 65F35 65F20 15A12 15A60 PDFBibTeX XMLCite \textit{M. Samar} et al., Linear Multilinear Algebra 69, No. 4, 752--770 (2021; Zbl 1467.65036) Full Text: DOI
Lange, Marko; Rump, Siegfried M. Verified inclusions for a nearest matrix of specified rank deficiency via a generalization of Wedin’s \(\sin (\theta)\) theorem. (English) Zbl 1470.65088 BIT 61, No. 1, 361-380 (2021). MSC: 65F99 15A03 PDFBibTeX XMLCite \textit{M. Lange} and \textit{S. M. Rump}, BIT 61, No. 1, 361--380 (2021; Zbl 1470.65088) Full Text: DOI
Bujanovic, Zvonimir; Kressner, Daniel Norm and trace estimation with random rank-one vectors. (English) Zbl 1459.65053 SIAM J. Matrix Anal. Appl. 42, No. 1, 202-223 (2021). MSC: 65F35 60E15 15A60 PDFBibTeX XMLCite \textit{Z. Bujanovic} and \textit{D. Kressner}, SIAM J. Matrix Anal. Appl. 42, No. 1, 202--223 (2021; Zbl 1459.65053) Full Text: DOI arXiv
Güttel, Stefan; Kressner, Daniel; Lund, Kathryn Limited-memory polynomial methods for large-scale matrix functions. (English) Zbl 07778852 GAMM-Mitt. 43, No. 3, Article ID 202000019, 19 p. (2020). MSC: 65Fxx 15Axx 65Dxx PDFBibTeX XMLCite \textit{S. Güttel} et al., GAMM-Mitt. 43, No. 3, Article ID 202000019, 19 p. (2020; Zbl 07778852) Full Text: DOI arXiv
Stoll, Martin A literature survey of matrix methods for data science. (English) Zbl 07778850 GAMM-Mitt. 43, No. 3, Article ID 202000013, 26 p. (2020). MSC: 65Fxx 15Axx 68Txx PDFBibTeX XMLCite \textit{M. Stoll}, GAMM-Mitt. 43, No. 3, Article ID 202000013, 26 p. (2020; Zbl 07778850) Full Text: DOI arXiv OA License
Farooq, Aamir; Samar, Mahvish; Li, Hanyu; Mu, Chunlai Sensitivity analysis for the block Cholesky downdating problem. (English) Zbl 1483.65063 Int. J. Comput. Math. 97, No. 6, 1234-1253 (2020). MSC: 65F35 65F05 15A23 15A12 PDFBibTeX XMLCite \textit{A. Farooq} et al., Int. J. Comput. Math. 97, No. 6, 1234--1253 (2020; Zbl 1483.65063) Full Text: DOI
Pappas, Dimitrios On the numerical range of EP matrices. (English) Zbl 1499.15076 Facta Univ., Ser. Math. Inf. 35, No. 4, 1079-1089 (2020). MSC: 15A60 47A12 15A09 PDFBibTeX XMLCite \textit{D. Pappas}, Facta Univ., Ser. Math. Inf. 35, No. 4, 1079--1089 (2020; Zbl 1499.15076) Full Text: DOI
Samar, Mahvish; Farooq, Aamir; Mu, Chun-lai Structured condition numbers and statistical condition estimation for the \(LDU\) factorization. (English) Zbl 1474.65104 Appl. Math., Ser. B (Engl. Ed.) 35, No. 3, 332-348 (2020). MSC: 65F35 15A23 PDFBibTeX XMLCite \textit{M. Samar} et al., Appl. Math., Ser. B (Engl. Ed.) 35, No. 3, 332--348 (2020; Zbl 1474.65104) Full Text: DOI
Garza-Vargas, Jorge; Kulkarni, Archit The Lanczos algorithm under few iterations: concentration and location of the output. (English) Zbl 1461.65047 SIAM J. Matrix Anal. Appl. 41, No. 3, 1312-1346 (2020). MSC: 65F15 42C05 15A18 PDFBibTeX XMLCite \textit{J. Garza-Vargas} and \textit{A. Kulkarni}, SIAM J. Matrix Anal. Appl. 41, No. 3, 1312--1346 (2020; Zbl 1461.65047) Full Text: DOI arXiv
Lotz, Martin; Noferini, Vanni Wilkinson’s bus: weak condition numbers, with an application to singular polynomial eigenproblems. (English) Zbl 1455.65056 Found. Comput. Math. 20, No. 6, 1439-1473 (2020). MSC: 65F15 65F35 15A18 15B52 60H99 PDFBibTeX XMLCite \textit{M. Lotz} and \textit{V. Noferini}, Found. Comput. Math. 20, No. 6, 1439--1473 (2020; Zbl 1455.65056) 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
Jia, Zhongxiao; Yang, Yanfei A joint bidiagonalization based iterative algorithm for large scale general-form Tikhonov regularization. (English) Zbl 1452.65076 Appl. Numer. Math. 157, 159-177 (2020). MSC: 65F22 65F15 15A18 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{Y. Yang}, Appl. Numer. Math. 157, 159--177 (2020; Zbl 1452.65076) Full Text: DOI arXiv
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
Hochstenbach, Michiel E.; Plestenjak, Bor Computing several eigenvalues of nonlinear eigenvalue problems by selection. (English) Zbl 1439.65045 Calcolo 57, No. 2, Paper No. 16, 25 p. (2020). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 65F50 65H17 15A18 15A69 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} and \textit{B. Plestenjak}, Calcolo 57, No. 2, Paper No. 16, 25 p. (2020; Zbl 1439.65045) Full Text: DOI arXiv
Gil’, Michael Conservation of the number of the eigenvalues of two-parameter matrix problems in bounded domains under perturbations. (English) Zbl 1437.15012 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 66, No. 1, 41-49 (2020). MSC: 15A18 15A22 47A55 PDFBibTeX XMLCite \textit{M. Gil'}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 66, No. 1, 41--49 (2020; Zbl 1437.15012) Full Text: DOI
Xu, Xuefeng On the perturbation of an \(L^2\)-orthogonal projection. (English) Zbl 1433.65074 J. Comput. Appl. Math. 368, Article ID 112327, 17 p. (2020). MSC: 65F35 65F15 65F20 15A18 47A55 PDFBibTeX XMLCite \textit{X. Xu}, J. Comput. Appl. Math. 368, Article ID 112327, 17 p. (2020; Zbl 1433.65074) Full Text: DOI arXiv
Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris N.; Yang, Chao Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation. (English) Zbl 1451.65054 J. Comput. Phys. 382, 221-239 (2019). MSC: 65F55 15A15 15A72 PDFBibTeX XMLCite \textit{P. Benner} et al., J. Comput. Phys. 382, 221--239 (2019; Zbl 1451.65054) Full Text: DOI arXiv
Zhong, Hong-Xiu; Chen, Guo-Liang Thick restarting the weighted harmonic Golub-Kahan-Lanczos algorithm for the linear response eigenvalue problem. (English) Zbl 1431.65049 ETNA, Electron. Trans. Numer. Anal. 51, 529-546 (2019). MSC: 65F15 65F50 15A18 PDFBibTeX XMLCite \textit{H.-X. Zhong} and \textit{G.-L. Chen}, ETNA, Electron. Trans. Numer. Anal. 51, 529--546 (2019; Zbl 1431.65049) Full Text: DOI Link
Truhar, Ninoslav; Tomljanović, Zoran; Puvača, Matea Approximation of damped quadratic eigenvalue problem by dimension reduction. (English) Zbl 1428.15015 Appl. Math. Comput. 347, 40-53 (2019). MSC: 15A24 15A18 70J10 65F15 PDFBibTeX XMLCite \textit{N. Truhar} et al., Appl. Math. Comput. 347, 40--53 (2019; Zbl 1428.15015) 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
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
Huang, Jinzhi; Jia, Zhongxiao On inner iterations of Jacobi-Davidson type methods for large SVD computations. (English) Zbl 1420.65049 SIAM J. Sci. Comput. 41, No. 3, A1574-A1603 (2019). MSC: 65F15 15A18 65F10 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Jia}, SIAM J. Sci. Comput. 41, No. 3, A1574--A1603 (2019; Zbl 1420.65049) Full Text: DOI arXiv
Salvi, Massimo Normal and triangular determinantal representations of multivariate polynomials. (English) Zbl 1420.13064 JP J. Algebra Number Theory Appl. 40, No. 6, 1043-1077 (2018). Reviewer: C. M. da Fonseca (Safat) MSC: 13P15 65H04 65F50 11C20 15B36 PDFBibTeX XMLCite \textit{M. Salvi}, JP J. Algebra Number Theory Appl. 40, No. 6, 1043--1077 (2018; Zbl 1420.13064) Full Text: DOI arXiv
Wang, Shaoxin; Li, Hanyu; Yang, Hu On the condition number theory of the equality constrained indefinite least squares problem. (English) Zbl 1405.65064 Electron. J. Linear Algebra 34, 619-638 (2018). MSC: 65F35 15A12 15A60 PDFBibTeX XMLCite \textit{S. Wang} et al., Electron. J. Linear Algebra 34, 619--638 (2018; Zbl 1405.65064) Full Text: arXiv
Ghosh, Arnab; Alam, Rafikul Sensitivity and backward perturbation analysis of multiparameter eigenvalue problems. (English) Zbl 1404.65021 SIAM J. Matrix Anal. Appl. 39, No. 4, 1750-1775 (2018). MSC: 65F15 15A69 15A18 65F35 15A60 PDFBibTeX XMLCite \textit{A. Ghosh} and \textit{R. Alam}, SIAM J. Matrix Anal. Appl. 39, No. 4, 1750--1775 (2018; Zbl 1404.65021) Full Text: DOI
Teng, Zhongming; Wang, Xuansheng Majorization bounds for SVD. (English) Zbl 1403.65019 Japan J. Ind. Appl. Math. 35, No. 3, 1163-1172 (2018). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{Z. Teng} and \textit{X. Wang}, Japan J. Ind. Appl. Math. 35, No. 3, 1163--1172 (2018; Zbl 1403.65019) Full Text: DOI
Lietaert, Pieter; Meerbergen, Karl; Tisseur, Françoise Compact two-sided Krylov methods for nonlinear eigenvalue problems. (English) Zbl 1397.65056 SIAM J. Sci. Comput. 40, No. 5, A2801-A2829 (2018). MSC: 65F15 65F25 15A18 15A22 41A20 47J10 PDFBibTeX XMLCite \textit{P. Lietaert} et al., SIAM J. Sci. Comput. 40, No. 5, A2801--A2829 (2018; Zbl 1397.65056) Full Text: DOI
Zhao, Tao A convergence analysis of the inexact simplified Jacobi-Davidson algorithm for polynomial eigenvalue problems. (English) Zbl 1415.65120 J. Sci. Comput. 75, No. 3, 1207-1228 (2018). MSC: 65H17 65F15 15A22 PDFBibTeX XMLCite \textit{T. Zhao}, J. Sci. Comput. 75, No. 3, 1207--1228 (2018; Zbl 1415.65120) Full Text: DOI
Noble, J. H.; Lubasch, M.; Stevens, J.; Jentschura, U. D. Diagonalization of complex symmetric matrices: generalized Householder reflections, iterative deflation and implicit shifts. (English) Zbl 1498.15013 Comput. Phys. Commun. 221, 304-316 (2017). MSC: 15A20 65F15 PDFBibTeX XMLCite \textit{J. H. Noble} et al., Comput. Phys. Commun. 221, 304--316 (2017; Zbl 1498.15013) Full Text: DOI
Bebiano, Natália; da Providência, João; Esmaeili, Fatemeh The characteristic polynomial of linear pencils of small size and the numerical range. (English) Zbl 1400.15021 Bebiano, Natália (ed.), Applied and computational matrix analysis. MAT-TRIAD, Coimbra, Portugal, September 7–11, 2015. Selected, revised contributions. Cham: Springer (ISBN 978-3-319-49982-6/hbk; 978-3-319-49984-0/ebook). Springer Proceedings in Mathematics & Statistics 192, 181-197 (2017). MSC: 15A60 15A15 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Springer Proc. Math. Stat. 192, 181--197 (2017; Zbl 1400.15021) Full Text: DOI Link
Bebiano, Natália; da Providência, João; Nata, Ana; da Providência, João P. Fields of values of linear pencils and spectral inclusion regions. (English) Zbl 1402.65032 Bebiano, Natália (ed.), Applied and computational matrix analysis. MAT-TRIAD, Coimbra, Portugal, September 7–11, 2015. Selected, revised contributions. Cham: Springer (ISBN 978-3-319-49982-6/hbk; 978-3-319-49984-0/ebook). Springer Proceedings in Mathematics & Statistics 192, 165-179 (2017). MSC: 65F30 15A60 15A22 PDFBibTeX XMLCite \textit{N. Bebiano} et al., Springer Proc. Math. Stat. 192, 165--179 (2017; Zbl 1402.65032) Full Text: DOI Link
Refahi Sheikhani, A. H.; Kordrostami, S. New iterative methods for generalized singular-value problems. (English) Zbl 1407.65045 Math. Sci., Springer 11, No. 4, 257-265 (2017). MSC: 65F10 65L15 15A18 PDFBibTeX XMLCite \textit{A. H. Refahi Sheikhani} and \textit{S. Kordrostami}, Math. Sci., Springer 11, No. 4, 257--265 (2017; Zbl 1407.65045) Full Text: DOI
Li, Hanyu; Wang, Shaoxin; Zheng, Chan Perturbation analysis for the periodic generalized coupled Sylvester equation. (English) Zbl 1391.65116 Int. J. Comput. Math. 94, No. 10, 2011-2026 (2017). MSC: 65F35 15A23 15A45 PDFBibTeX XMLCite \textit{H. Li} et al., Int. J. Comput. Math. 94, No. 10, 2011--2026 (2017; Zbl 1391.65116) Full Text: DOI arXiv
Li, Hanyu; Wang, Shaoxin Partial condition number for the equality constrained linear least squares problem. (English) Zbl 1385.65032 Calcolo 54, No. 4, 1121-1146 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65F35 15A12 15A60 PDFBibTeX XMLCite \textit{H. Li} and \textit{S. Wang}, Calcolo 54, No. 4, 1121--1146 (2017; Zbl 1385.65032) Full Text: DOI arXiv
Gao, Jing; Li, Chaoqian A new localization set for generalized eigenvalues. (English) Zbl 1381.15006 J. Inequal. Appl. 2017, Paper No. 113, 11 p. (2017). MSC: 15A42 65F15 15A22 PDFBibTeX XMLCite \textit{J. Gao} and \textit{C. Li}, J. Inequal. Appl. 2017, Paper No. 113, 11 p. (2017; Zbl 1381.15006) 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
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
Wu, Lingfei; Romero, Eloy; Stathopoulos, Andreas PRIMME_SVDS: a high-performance preconditioned SVD solver for accurate large-scale computations. (English) Zbl 1392.65100 SIAM J. Sci. Comput. 39, No. 5, S248-S271 (2017). MSC: 65F15 15A18 65Y15 PDFBibTeX XMLCite \textit{L. Wu} et al., SIAM J. Sci. Comput. 39, No. 5, S248--S271 (2017; Zbl 1392.65100) Full Text: DOI arXiv
Chung, Julianne; Saibaba, Arvind K. Generalized hybrid iterative methods for large-scale Bayesian inverse problems. (English) Zbl 1422.65065 SIAM J. Sci. Comput. 39, No. 5, S24-S46 (2017). MSC: 65F22 65F20 65F30 15A29 PDFBibTeX XMLCite \textit{J. Chung} and \textit{A. K. Saibaba}, SIAM J. Sci. Comput. 39, No. 5, S24--S46 (2017; Zbl 1422.65065) Full Text: DOI arXiv
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
Xiao, Jinyou; Zhou, Hang; Zhang, Chuanzeng; Xu, Chao Solving large-scale finite element nonlinear eigenvalue problems by resolvent sampling based Rayleigh-Ritz method. (English) Zbl 1398.65066 Comput. Mech. 59, No. 2, 317-334 (2017). MSC: 65F15 65H17 65F35 15A18 65F10 PDFBibTeX XMLCite \textit{J. Xiao} et al., Comput. Mech. 59, No. 2, 317--334 (2017; Zbl 1398.65066) 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
Sorensen, D. C.; Embree, Mark A DEIM induced CUR factorization. (English) Zbl 1382.65121 SIAM J. Sci. Comput. 38, No. 3, A1454-A1482 (2016). MSC: 65F30 15A23 47A58 65F35 68W25 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{M. Embree}, SIAM J. Sci. Comput. 38, No. 3, A1454--A1482 (2016; Zbl 1382.65121) Full Text: DOI arXiv
Lin, Lin; Saad, Yousef; Yang, Chao Approximating spectral densities of large matrices. (English) Zbl 1338.15026 SIAM Rev. 58, No. 1, 34-65 (2016). MSC: 15A18 65F15 PDFBibTeX XMLCite \textit{L. Lin} et al., SIAM Rev. 58, No. 1, 34--65 (2016; Zbl 1338.15026) Full Text: DOI arXiv
Plestenjak, Bor Numerical methods for nonlinear two-parameter eigenvalue problems. (English) Zbl 1342.65116 BIT 56, No. 1, 241-262 (2016). Reviewer: Liu Xinguo (Qingdao) MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{B. Plestenjak}, BIT 56, No. 1, 241--262 (2016; Zbl 1342.65116) Full Text: DOI
Gil’, Michael Bounds for the spectrum of a two parameter matrix eigenvalue problem. (English) Zbl 1334.15029 Linear Algebra Appl. 498, 201-218 (2016). MSC: 15A18 15A69 PDFBibTeX XMLCite \textit{M. Gil'}, Linear Algebra Appl. 498, 201--218 (2016; Zbl 1334.15029) Full Text: DOI
Yang, Hu; Wang, Shaoxin A flexible condition number for weighted linear least squares problem and its statistical estimation. (English) Zbl 1327.65089 J. Comput. Appl. Math. 292, 320-328 (2016). MSC: 65F35 15A12 15A60 PDFBibTeX XMLCite \textit{H. Yang} and \textit{S. Wang}, J. Comput. Appl. Math. 292, 320--328 (2016; Zbl 1327.65089) 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
Wu, Lingfei; Stathopoulos, Andreas A preconditioned hybrid SVD method for accurately computing singular triplets of large matrices. (English) Zbl 1325.65055 SIAM J. Sci. Comput. 37, No. 5, S365-S388 (2015). MSC: 65F15 65F08 15A18 PDFBibTeX XMLCite \textit{L. Wu} and \textit{A. Stathopoulos}, SIAM J. Sci. Comput. 37, No. 5, S365--S388 (2015; Zbl 1325.65055) Full Text: DOI arXiv
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
Wang, Shaoxin; Yang, Hu; Li, Hanyu Condition numbers for the nonlinear matrix equation and their statistical estimation. (English) Zbl 1321.65071 Linear Algebra Appl. 482, 221-240 (2015). MSC: 65F35 15A24 15A12 PDFBibTeX XMLCite \textit{S. Wang} et al., Linear Algebra Appl. 482, 221--240 (2015; Zbl 1321.65071) Full Text: DOI
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
Noschese, Silvia; Reichel, Lothar A modified truncated singular value decomposition method for discrete ill-posed problems. (English) Zbl 1340.65070 Numer. Linear Algebra Appl. 21, No. 6, 813-822 (2014). MSC: 65F22 15A18 65F15 65F20 PDFBibTeX XMLCite \textit{S. Noschese} and \textit{L. Reichel}, Numer. Linear Algebra Appl. 21, No. 6, 813--822 (2014; Zbl 1340.65070) Full Text: DOI
Muhič, Andrej; Plestenjak, Bor A method for computing all values \({\lambda}\) such that \(A + {\lambda}B\) has a multiple eigenvalue. (English) Zbl 1292.65039 Linear Algebra Appl. 440, 345-359 (2014). MSC: 65F15 15A18 15A69 PDFBibTeX XMLCite \textit{A. Muhič} and \textit{B. Plestenjak}, Linear Algebra Appl. 440, 345--359 (2014; Zbl 1292.65039) Full Text: DOI
Jia, ZhongXiao On convergence of the inexact Rayleigh quotient iteration with the Lanczos method used for solving linear systems. (English) Zbl 1292.65038 Sci. China, Math. 56, No. 10, 2145-2160 (2013). MSC: 65F15 65F10 15A18 PDFBibTeX XMLCite \textit{Z. Jia}, Sci. China, Math. 56, No. 10, 2145--2160 (2013; Zbl 1292.65038) Full Text: DOI arXiv
Hochstenbach, Michiel E. Probabilistic upper bounds for the matrix two-norm. (English) Zbl 1292.65037 J. Sci. Comput. 57, No. 3, 464-476 (2013). MSC: 65F15 15A42 65F35 65F50 PDFBibTeX XMLCite \textit{M. E. Hochstenbach}, J. Sci. Comput. 57, No. 3, 464--476 (2013; Zbl 1292.65037) Full Text: DOI Link
Adhikari, Bibhas Vector space of linearizations for the quadratic two-parameter matrix polynomial. (English) Zbl 1266.65058 Linear Multilinear Algebra 61, No. 5, 603-616 (2013). MSC: 65F15 15A18 15A69 15A22 PDFBibTeX XMLCite \textit{B. Adhikari}, Linear Multilinear Algebra 61, No. 5, 603--616 (2013; Zbl 1266.65058) Full Text: DOI arXiv
Gemignani, Luca; Noferini, Vanni The Ehrlich-Aberth method for palindromic matrix polynomials represented in the Dickson basis. (English) Zbl 1269.65034 Linear Algebra Appl. 438, No. 4, 1645-1666 (2013). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 65H05 15A16 PDFBibTeX XMLCite \textit{L. Gemignani} and \textit{V. Noferini}, Linear Algebra Appl. 438, No. 4, 1645--1666 (2013; Zbl 1269.65034) Full Text: DOI arXiv
Li, Ren-Cang; Lin, Wen-Wei; Wang, Chern-Shuh Structured backward error for palindromic polynomial eigenvalue problems. (English) Zbl 1213.65063 Numer. Math. 116, No. 1, 95-122 (2010). Reviewer: Daniel Kressner (Lausanne) MSC: 65F15 15A54 PDFBibTeX XMLCite \textit{R.-C. Li} et al., Numer. Math. 116, No. 1, 95--122 (2010; Zbl 1213.65063) Full Text: DOI
Simoncini, Valeria; Szyld, Daniel B. On the field of values of oblique projections. (English) Zbl 1195.47003 Linear Algebra Appl. 433, No. 4, 810-818 (2010). Reviewer: Pei Yuan Wu (Hsinchu) MSC: 47A12 15A60 46C99 46E99 PDFBibTeX XMLCite \textit{V. Simoncini} and \textit{D. B. Szyld}, Linear Algebra Appl. 433, No. 4, 810--818 (2010; Zbl 1195.47003) 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
Amiraslani, A.; Lancaster, P. Rayleigh quotient algorithms for nonsymmetric matrix pencils. (English) Zbl 1181.65050 Numer. Algorithms 51, No. 1, 5-22 (2009). Reviewer: J. B. Butler jun. (Portland) MSC: 65F15 15A22 PDFBibTeX XMLCite \textit{A. Amiraslani} and \textit{P. Lancaster}, Numer. Algorithms 51, No. 1, 5--22 (2009; Zbl 1181.65050) Full Text: DOI
Jarlebring, Elias; Hochstenbach, Michiel E. Polynomial two-parameter eigenvalue problems and matrix pencil methods for stability of delay-differential equations. (English) Zbl 1170.65063 Linear Algebra Appl. 431, No. 3-4, 369-380 (2009). Reviewer: Srinivasan Natesan (Assam) MSC: 65L07 34K20 34K28 34K25 15A22 15A18 PDFBibTeX XMLCite \textit{E. Jarlebring} and \textit{M. E. Hochstenbach}, Linear Algebra Appl. 431, No. 3--4, 369--380 (2009; Zbl 1170.65063) Full Text: DOI arXiv
Bao, Liang; Lin, Yiqin; Wei, Yimin Restarted generalized Krylov subspace methods for solving large-scale polynomial eigenvalue problems. (English) Zbl 1162.65017 Numer. Algorithms 50, No. 1, 17-32 (2009). MSC: 65F15 15A54 PDFBibTeX XMLCite \textit{L. Bao} et al., Numer. Algorithms 50, No. 1, 17--32 (2009; Zbl 1162.65017) Full Text: DOI
Hochstenbach, Michiel E.; Singer, David A.; Zachlin, Paul F. Eigenvalue inclusion regions from inverses of shifted matrices. (English) Zbl 1176.15022 Linear Algebra Appl. 429, No. 10, 2481-2496 (2008). Reviewer: Herbert Kreyszig (New York) MSC: 15A42 PDFBibTeX XMLCite \textit{M. E. Hochstenbach} et al., Linear Algebra Appl. 429, No. 10, 2481--2496 (2008; Zbl 1176.15022) 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
Rump, Siegfried M. Eigenvalues, pseudospectrum and structured perturbations. (English) Zbl 1093.15020 Linear Algebra Appl. 413, No. 2-3, 567-593 (2006). Reviewer: Ching-Hua Chang (Hualien) MSC: 15A42 65F15 15B57 15A12 PDFBibTeX XMLCite \textit{S. M. Rump}, Linear Algebra Appl. 413, No. 2--3, 567--593 (2006; Zbl 1093.15020) Full Text: DOI
Hwang, Tsung-Min; Lin, Wen-Wei; Wang, Wei-Cheng; Wang, Weichung Numerical simulation of three dimensional pyramid quantum dot. (English) Zbl 1053.81018 J. Comput. Phys. 196, No. 1, 208-232 (2004); erratum 215, No. 1, 384 (2006). MSC: 81Q05 15A18 82D20 81P68 PDFBibTeX XMLCite \textit{T.-M. Hwang} et al., J. Comput. Phys. 196, No. 1, 208--232 (2004; Zbl 1053.81018) Full Text: DOI