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
Prajapati, Anshul; Sharma, Punit Structured eigenvalue backward errors for rational matrix functions with symmetry structures. (English) Zbl 07813310 BIT 64, No. 1, Paper No. 10, 34 p. (2024). MSC: 15A18 15A12 15A22 15B57 65F15 65F35 PDFBibTeX XMLCite \textit{A. Prajapati} and \textit{P. Sharma}, BIT 64, No. 1, Paper No. 10, 34 p. (2024; Zbl 07813310) Full Text: DOI arXiv
Zeng, Chao; Ng, Michael K.; Jiang, Tai-Xiang Incremental algorithms for truncated higher-order singular value decompositions. (English) Zbl 07790949 BIT 64, No. 1, Paper No. 4, 28 p. (2024). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{C. Zeng} et al., BIT 64, No. 1, Paper No. 4, 28 p. (2024; Zbl 07790949) Full Text: DOI
Zhang, Zeyi; Shen, Dong Randomized Kaczmarz algorithm with averaging and block projection. (English) Zbl 07782836 BIT 64, No. 1, Paper No. 1, 30 p. (2024). MSC: 65F10 65F20 15A06 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{D. Shen}, BIT 64, No. 1, Paper No. 1, 30 p. (2024; Zbl 07782836) Full Text: DOI
Park, Taejun; Nakatsukasa, Yuji A fast randomized algorithm for computing an approximate null space. (English) Zbl 1515.65085 BIT 63, No. 2, Paper No. 36, 27 p. (2023). MSC: 65F20 65F55 15A18 15A42 PDFBibTeX XMLCite \textit{T. Park} and \textit{Y. Nakatsukasa}, BIT 63, No. 2, Paper No. 36, 27 p. (2023; Zbl 1515.65085) Full Text: DOI arXiv
Casulli, Angelo; Robol, Leonardo Low-rank tensor structure preservation in fractional operators by means of exponential sums. (English) Zbl 1514.65053 BIT 63, No. 2, Paper No. 30, 26 p. (2023). MSC: 65F60 15A16 15A69 PDFBibTeX XMLCite \textit{A. Casulli} and \textit{L. Robol}, BIT 63, No. 2, Paper No. 30, 26 p. (2023; Zbl 1514.65053) Full Text: DOI arXiv
Liu, Yanhui; Zeng, Xueying; Wang, Weiguo Proximal gradient algorithm for nonconvex low tubal rank tensor recovery. (English) Zbl 1511.65037 BIT 63, No. 2, Paper No. 25, 23 p. (2023). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{Y. Liu} et al., BIT 63, No. 2, Paper No. 25, 23 p. (2023; Zbl 1511.65037) Full Text: DOI
Bini, Dario A.; Iannazzo, Bruno; Meng, Jie Geometric means of quasi-Toeplitz matrices. (English) Zbl 1509.15018 BIT 63, No. 2, Paper No. 20, 30 p. (2023). MSC: 15B05 15A60 47A64 47B35 47A60 PDFBibTeX XMLCite \textit{D. A. Bini} et al., BIT 63, No. 2, Paper No. 20, 30 p. (2023; Zbl 1509.15018) Full Text: DOI arXiv
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
Benner, Peter; Iannazzo, Bruno; Meini, Beatrice; Palitta, Davide Palindromic linearization and numerical solution of nonsymmetric algebraic \(T\)-Riccati equations. (English) Zbl 1507.65083 BIT 62, No. 4, 1649-1672 (2022). MSC: 65F45 15A24 15A22 PDFBibTeX XMLCite \textit{P. Benner} et al., BIT 62, No. 4, 1649--1672 (2022; Zbl 1507.65083) Full Text: DOI arXiv
Bogoya, Manuel; Grudsky, Sergei M.; Serra-Capizzano, Stefano; Tablino-Possio, Cristina Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems. (English) Zbl 1502.15026 BIT 62, No. 4, 1417-1431 (2022). MSC: 15B99 15A18 65F10 26A33 PDFBibTeX XMLCite \textit{M. Bogoya} et al., BIT 62, No. 4, 1417--1431 (2022; Zbl 1502.15026) Full Text: DOI arXiv
Bentbib, A. H.; Khouia, A.; Sadok, H. Color image and video restoration using tensor CP decomposition. (English) Zbl 1505.65172 BIT 62, No. 4, 1257-1278 (2022). MSC: 65F22 15A69 65F10 94A08 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., BIT 62, No. 4, 1257--1278 (2022; Zbl 1505.65172) Full Text: DOI
Ceruti, Gianluca; Kusch, Jonas; Lubich, Christian A rank-adaptive robust integrator for dynamical low-rank approximation. (English) Zbl 1507.65116 BIT 62, No. 4, 1149-1174 (2022). MSC: 65L05 15A69 65L20 65L70 65F55 PDFBibTeX XMLCite \textit{G. Ceruti} et al., BIT 62, No. 4, 1149--1174 (2022; Zbl 1507.65116) Full Text: DOI arXiv
Barbarino, Giovanni A systematic approach to reduced GLT. (English) Zbl 1495.15035 BIT 62, No. 3, 681-743 (2022). MSC: 15A60 15A18 15B05 47B06 65N06 65N30 15A69 PDFBibTeX XMLCite \textit{G. Barbarino}, BIT 62, No. 3, 681--743 (2022; Zbl 1495.15035) Full Text: DOI arXiv
Noutsos, Dimitrios; Tachyridis, Grigorios Band-times-circulant preconditioners for non-symmetric Toeplitz systems. (English) Zbl 1498.65042 BIT 62, No. 2, 561-590 (2022). MSC: 65F08 65F10 15B05 15A18 PDFBibTeX XMLCite \textit{D. Noutsos} and \textit{G. Tachyridis}, BIT 62, No. 2, 561--590 (2022; Zbl 1498.65042) Full Text: DOI
Hon, Sean; Serra-Capizzano, Stefano; Wathen, Andy Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems. (English) Zbl 1498.65041 BIT 62, No. 2, 465-491 (2022). MSC: 65F08 65F10 65M22 15B05 PDFBibTeX XMLCite \textit{S. Hon} et al., BIT 62, No. 2, 465--491 (2022; Zbl 1498.65041) Full Text: DOI
Brandén, Henrik Grid independent convergence using multilevel circulant preconditioning: Poisson’s equation. (English) Zbl 1493.65183 BIT 62, No. 2, 409-429 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65N22 65F08 65F10 65N50 65N12 65N38 35J05 15B05 PDFBibTeX XMLCite \textit{H. Brandén}, BIT 62, No. 2, 409--429 (2022; Zbl 1493.65183) Full Text: DOI
Zhao, Zhi; Jin, Xiao-Qing; Yao, Teng-Teng A Riemannian under-determined BFGS method for least squares inverse eigenvalue problems. (English) Zbl 1485.65042 BIT 62, No. 1, 311-337 (2022). MSC: 65F18 15A18 PDFBibTeX XMLCite \textit{Z. Zhao} et al., BIT 62, No. 1, 311--337 (2022; Zbl 1485.65042) Full Text: DOI
Massei, Stefano Some algorithms for maximum volume and cross approximation of symmetric semidefinite matrices. (English) Zbl 1485.65049 BIT 62, No. 1, 195-220 (2022). MSC: 65F55 15B48 PDFBibTeX XMLCite \textit{S. Massei}, BIT 62, No. 1, 195--220 (2022; Zbl 1485.65049) Full Text: DOI arXiv
Ma, Anna; Molitor, Denali Randomized Kaczmarz for tensor linear systems. (English) Zbl 1485.65034 BIT 62, No. 1, 171-194 (2022). MSC: 65F10 65F20 65F25 15A69 PDFBibTeX XMLCite \textit{A. Ma} and \textit{D. Molitor}, BIT 62, No. 1, 171--194 (2022; Zbl 1485.65034) Full Text: DOI arXiv
Begović Kovač, Erna Hybrid CUR-type decomposition of tensors in the Tucker format. (English) Zbl 1485.15031 BIT 62, No. 1, 125-138 (2022). MSC: 15A69 15A23 65F99 PDFBibTeX XMLCite \textit{E. Begović Kovač}, BIT 62, No. 1, 125--138 (2022; Zbl 1485.15031) Full Text: DOI arXiv
Dmytryshyn, Andrii Recovering a perturbation of a matrix polynomial from a perturbation of its first companion linearization. (English) Zbl 1485.65052 BIT 62, No. 1, 69-88 (2022). MSC: 65F99 15A22 15A21 65F15 65F35 PDFBibTeX XMLCite \textit{A. Dmytryshyn}, BIT 62, No. 1, 69--88 (2022; Zbl 1485.65052) Full Text: DOI arXiv
Ceruti, Gianluca; Lubich, Christian An unconventional robust integrator for dynamical low-rank approximation. (English) Zbl 1481.65068 BIT 62, No. 1, 23-44 (2022). MSC: 65F55 65L05 65L20 65L70 15A69 PDFBibTeX XMLCite \textit{G. Ceruti} and \textit{C. Lubich}, BIT 62, No. 1, 23--44 (2022; Zbl 1481.65068) Full Text: DOI arXiv
Lin, Fu-Rong; Qu, Hai-Dong; She, Zi-Hang DNT preconditioner for one-sided space fractional diffusion equations. (English) Zbl 1496.65121 BIT 61, No. 4, 1311-1335 (2021). MSC: 65M06 65F08 65F10 65M22 15B05 26A33 35R11 PDFBibTeX XMLCite \textit{F.-R. Lin} et al., BIT 61, No. 4, 1311--1335 (2021; Zbl 1496.65121) Full Text: DOI
Zhao, Yong-Liang; Li, Meng; Ostermann, Alexander; Gu, Xian-Ming An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation. (English) Zbl 1481.65168 BIT 61, No. 3, 1061-1092 (2021). MSC: 65M06 65M12 65N06 65F08 65F10 65H10 15B05 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., BIT 61, No. 3, 1061--1092 (2021; Zbl 1481.65168) Full Text: DOI arXiv
Li, Hanyu; Zhu, Yuanyang Randomized block Krylov subspace methods for trace and log-determinant estimators. (English) Zbl 1518.65048 BIT 61, No. 3, 911-939 (2021). MSC: 65F99 15A15 15A18 60B20 65F15 68W20 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y. Zhu}, BIT 61, No. 3, 911--939 (2021; Zbl 1518.65048) Full Text: DOI arXiv
Kim, Hyun-Min; Meng, Jie Structured perturbation analysis for an infinite size quasi-Toeplitz matrix equation with applications. (English) Zbl 1473.15025 BIT 61, No. 3, 859-879 (2021). Reviewer: Igor Korepanov (Moskva) MSC: 15A24 15B05 PDFBibTeX XMLCite \textit{H.-M. Kim} and \textit{J. Meng}, BIT 61, No. 3, 859--879 (2021; Zbl 1473.15025) 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
Moorman, Jacob D.; Tu, Thomas K.; Molitor, Denali; Needell, Deanna Randomized Kaczmarz with averaging. (English) Zbl 1460.15005 BIT 61, No. 1, 337-359 (2021). MSC: 15A06 15B52 65F10 65F20 65Y20 68Q25 68W10 68W20 68W40 PDFBibTeX XMLCite \textit{J. D. Moorman} et al., BIT 61, No. 1, 337--359 (2021; Zbl 1460.15005) Full Text: DOI arXiv
Kürschner, Patrick; Freitag, Melina A. Inexact methods for the low rank solution to large scale Lyapunov equations. (English) Zbl 1455.65050 BIT 60, No. 4, 1221-1259 (2020). MSC: 65F45 15A24 65F55 PDFBibTeX XMLCite \textit{P. Kürschner} and \textit{M. A. Freitag}, BIT 60, No. 4, 1221--1259 (2020; Zbl 1455.65050) 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
Yao, Teng-Teng; Bai, Zheng-Jian; Jin, Xiao-Qing; Zhao, Zhi A geometric Gauss-Newton method for least squares inverse eigenvalue problems. (English) Zbl 1452.65072 BIT 60, No. 3, 825-852 (2020). MSC: 65F18 65F15 15A18 58C15 PDFBibTeX XMLCite \textit{T.-T. Yao} et al., BIT 60, No. 3, 825--852 (2020; Zbl 1452.65072) 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
Jawecki, Tobias; Auzinger, Winfried; Koch, Othmar Computable upper error bounds for Krylov approximations to matrix exponentials and associated \(\varphi\)-functions. (English) Zbl 1432.65053 BIT 60, No. 1, 157-197 (2020). MSC: 65F60 15A16 65F15 PDFBibTeX XMLCite \textit{T. Jawecki} et al., BIT 60, No. 1, 157--197 (2020; Zbl 1432.65053) Full Text: DOI arXiv
Cai, Yunfeng; Jia, Zhigang; Bai, Zheng-Jian Perturbation analysis of an eigenvector-dependent nonlinear eigenvalue problem with applications. (English) Zbl 1431.65042 BIT 60, No. 1, 1-29 (2020). MSC: 65F15 65F45 15A18 PDFBibTeX XMLCite \textit{Y. Cai} et al., BIT 60, No. 1, 1--29 (2020; Zbl 1431.65042) Full Text: DOI arXiv
Diao, Huai-An; Meng, Qing-Le Structured generalized eigenvalue condition numbers for parameterized quasiseparable matrices. (English) Zbl 1420.65045 BIT 59, No. 3, 695-720 (2019). MSC: 65F15 65F35 15A12 15A18 PDFBibTeX XMLCite \textit{H.-A. Diao} and \textit{Q.-L. Meng}, BIT 59, No. 3, 695--720 (2019; Zbl 1420.65045) Full Text: DOI
Chiang, Chun-Yueh; Lin, Matthew M.; Jin, Xiao-Qing Riemannian inexact Newton method for structured inverse eigenvalue and singular value problems. (English) Zbl 1442.65059 BIT 59, No. 3, 675-694 (2019). MSC: 65F18 15A29 65H17 PDFBibTeX XMLCite \textit{C.-Y. Chiang} et al., BIT 59, No. 3, 675--694 (2019; Zbl 1442.65059) Full Text: DOI arXiv
Popova, Evgenija D. Rank one interval enclosure of the parametric united solution set. (English) Zbl 1415.65110 BIT 59, No. 2, 503-521 (2019). MSC: 65G40 15A06 15B33 65F30 PDFBibTeX XMLCite \textit{E. D. Popova}, BIT 59, No. 2, 503--521 (2019; Zbl 1415.65110) Full Text: DOI
Mazza, M.; Pestana, J. Spectral properties of flipped Toeplitz matrices and related preconditioning. (English) Zbl 1417.15045 BIT 59, No. 2, 463-482 (2019). MSC: 15B05 15A18 65F08 PDFBibTeX XMLCite \textit{M. Mazza} and \textit{J. Pestana}, BIT 59, No. 2, 463--482 (2019; Zbl 1417.15045) Full Text: DOI
Huhtanen, Marko; Kotila, Vesa Optimal quotients for solving large eigenvalue problems. (English) Zbl 1454.65023 BIT 59, No. 1, 125-154 (2019). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 15A22 15A60 76W05 PDFBibTeX XMLCite \textit{M. Huhtanen} and \textit{V. Kotila}, BIT 59, No. 1, 125--154 (2019; Zbl 1454.65023) Full Text: DOI Link
Okša, Gabriel; Yamamoto, Yusaku; Bečka, Martin; Vajteršic, Marián Asymptotic quadratic convergence of the parallel block-Jacobi EVD algorithm with dynamic ordering for Hermitian matrices. (English) Zbl 1405.65053 BIT 58, No. 4, 1099-1123 (2018). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65F15 65Y05 15B57 PDFBibTeX XMLCite \textit{G. Okša} et al., BIT 58, No. 4, 1099--1123 (2018; Zbl 1405.65053) 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
Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano Exact formulae and matrix-less eigensolvers for block banded symmetric Toeplitz matrices. (English) Zbl 1405.65051 BIT 58, No. 4, 937-968 (2018). Reviewer: Giovanni Barbarino (Pisa) MSC: 65F15 15B05 65B05 PDFBibTeX XMLCite \textit{S.-E. Ekström} et al., BIT 58, No. 4, 937--968 (2018; Zbl 1405.65051) Full Text: DOI
Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei Efficient preconditioner of one-sided space fractional diffusion equation. (English) Zbl 1404.65136 BIT 58, No. 3, 729-748 (2018). MSC: 65M22 65F08 65F10 35R11 15B05 65F35 PDFBibTeX XMLCite \textit{X.-L. Lin} et al., BIT 58, No. 3, 729--748 (2018; Zbl 1404.65136) Full Text: DOI
Mele, Giampaolo; Jarlebring, Elias On restarting the tensor infinite Arnoldi method. (English) Zbl 1386.65132 BIT 58, No. 1, 133-162 (2018). MSC: 65F60 35P30 65H17 15A18 65F15 PDFBibTeX XMLCite \textit{G. Mele} and \textit{E. Jarlebring}, BIT 58, No. 1, 133--162 (2018; Zbl 1386.65132) Full Text: DOI arXiv
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
Skalna, Iwona; Hladík, Milan A new method for computing a \(p\)-solution to parametric interval linear systems with affine-linear and nonlinear dependencies. (English) Zbl 1383.65027 BIT 57, No. 4, 1109-1136 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F10 15B99 65G40 65G50 90C05 65K05 65F08 PDFBibTeX XMLCite \textit{I. Skalna} and \textit{M. Hladík}, BIT 57, No. 4, 1109--1136 (2017; Zbl 1383.65027) Full Text: DOI
Liu, Ching-Sung; Lee, Che-Rung On the structured backward error of inexact Arnoldi methods for (skew)-Hermitian and (skew)-symmetric eigenvalue problems. (English) Zbl 1383.65031 BIT 57, No. 4, 1083-1108 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 65F10 15B48 PDFBibTeX XMLCite \textit{C.-S. Liu} and \textit{C.-R. Lee}, BIT 57, No. 4, 1083--1108 (2017; Zbl 1383.65031) Full Text: DOI
Mehl, Christian; Mehrmann, Volker; Sharma, Punit Stability radii for real linear Hamiltonian systems with perturbed dissipation. (English) Zbl 1373.93274 BIT 57, No. 3, 811-843 (2017). MSC: 93D20 93D09 65F15 15A21 65L80 65L05 34A30 PDFBibTeX XMLCite \textit{C. Mehl} et al., BIT 57, No. 3, 811--843 (2017; Zbl 1373.93274) Full Text: DOI
Sadkane, Miloud; Sidje, Roger B. An alternating maximization method for approximating the hump of the matrix exponential. (English) Zbl 1378.65097 BIT 57, No. 3, 609-628 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F60 65K10 49J05 15A18 PDFBibTeX XMLCite \textit{M. Sadkane} and \textit{R. B. Sidje}, BIT 57, No. 3, 609--628 (2017; Zbl 1378.65097) Full Text: DOI
Ding, Weiyang; Qi, Liqun; Wei, Yimin Inheritance properties and sum-of-squares decomposition of Hankel tensors: theory and algorithms. (English) Zbl 1360.65121 BIT 57, No. 1, 169-190 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A18 15A69 65F10 65F15 PDFBibTeX XMLCite \textit{W. Ding} et al., BIT 57, No. 1, 169--190 (2017; Zbl 1360.65121) Full Text: DOI arXiv
Soltani, Sara; Kilmer, Misha E.; Hansen, Per Christian A tensor-based dictionary learning approach to tomographic image reconstruction. (English) Zbl 1355.65036 BIT 56, No. 4, 1425-1454 (2016). MSC: 65D18 65F22 94A08 15A69 15A23 68T05 90C25 65K05 PDFBibTeX XMLCite \textit{S. Soltani} et al., BIT 56, No. 4, 1425--1454 (2016; Zbl 1355.65036) Full Text: DOI arXiv
Ke, Yi-Fen; Ma, Chang-Feng Spectrum analysis of a more general augmentation block preconditioner for generalized saddle point matrices. (English) Zbl 1382.65078 BIT 56, No. 2, 489-500 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F08 65F10 65F50 15A24 PDFBibTeX XMLCite \textit{Y.-F. Ke} and \textit{C.-F. Ma}, BIT 56, No. 2, 489--500 (2016; Zbl 1382.65078) Full Text: DOI
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
Bolten, Matthias; Donatelli, Marco; Huckle, Thomas; Kravvaritis, Christos Generalized grid transfer operators for multigrid methods applied on Toeplitz matrices. (English) Zbl 1323.65119 BIT 55, No. 2, 341-366 (2015). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N55 65N22 15B05 35J05 PDFBibTeX XMLCite \textit{M. Bolten} et al., BIT 55, No. 2, 341--366 (2015; Zbl 1323.65119) Full Text: DOI
Huang, Rong; Liu, Jianzhou; Zhu, Li Accurate solutions of diagonally dominant tridiagonal linear systems. (English) Zbl 1310.65032 BIT 54, No. 3, 711-727 (2014). Reviewer: Drahoslava Janovská (Praha) MSC: 65F05 15A23 65F35 65G50 PDFBibTeX XMLCite \textit{R. Huang} et al., BIT 54, No. 3, 711--727 (2014; Zbl 1310.65032) Full Text: DOI
Kressner, Daniel; Steinlechner, Michael; Vandereycken, Bart Low-rank tensor completion by Riemannian optimization. (English) Zbl 1300.65040 BIT 54, No. 2, 447-468 (2014). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 15A83 15A72 90C30 PDFBibTeX XMLCite \textit{D. Kressner} et al., BIT 54, No. 2, 447--468 (2014; Zbl 1300.65040) Full Text: DOI arXiv Link
Barreras, Alvaro; Peña, J. M. Accurate and efficient \(LDU\) decomposition of almost diagonally dominant \(Z\)-matrices. (English) Zbl 1298.65045 BIT 54, No. 2, 343-356 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F05 65F35 65F30 15A23 PDFBibTeX XMLCite \textit{A. Barreras} and \textit{J. M. Peña}, BIT 54, No. 2, 343--356 (2014; Zbl 1298.65045) Full Text: DOI
Arnold, Andreas; Jahnke, Tobias On the approximation of high-dimensional differential equations in the hierarchical Tucker format. (English) Zbl 1308.65113 BIT 54, No. 2, 305-341 (2014). Reviewer: Yajuan Sun (Beijing) MSC: 65L05 65F99 15A69 PDFBibTeX XMLCite \textit{A. Arnold} and \textit{T. Jahnke}, BIT 54, No. 2, 305--341 (2014; Zbl 1308.65113) Full Text: DOI Link
Benner, Peter (ed.); Sadkane, Miloud (ed.); Salam, Ahmed (ed.) Structured matrix computations in non-Euclidean geometries: algorithms and applications. (English) Zbl 1290.00028 BIT 54, No. 1, 1-5 (2014). MSC: 00B25 65-06 15-06 51-06 PDFBibTeX XMLCite \textit{P. Benner} (ed.) et al., BIT 54, No. 1, 1--5 (2014; Zbl 1290.00028) Full Text: DOI
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
Bai, Zhaojun; Li, Ren-Cang Minimization principles and computation for the generalized linear response eigenvalue problem. (English) Zbl 1293.65053 BIT 54, No. 1, 31-54 (2014). Reviewer: Fernando Casas (Castellon) MSC: 65F15 65L15 15A18 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{R.-C. Li}, BIT 54, No. 1, 31--54 (2014; Zbl 1293.65053) Full Text: DOI
Fan, Hung-Yuan; Weng, Peter; Chu, Eric Refining estimates of invariant and deflating subspaces for large and sparse matrices and pencils. (English) Zbl 1290.65036 BIT 54, No. 1, 147-169 (2014). MSC: 65F30 65F15 65F50 15A24 PDFBibTeX XMLCite \textit{H.-Y. Fan} et al., BIT 54, No. 1, 147--169 (2014; Zbl 1290.65036) Full Text: DOI
Lubich, Christian; Oseledets, Ivan A projector-splitting integrator for dynamical low-rank approximation. (English) Zbl 1314.65095 BIT 54, No. 1, 171-188 (2014). Reviewer: Kevin Burrage (Brisbane) MSC: 65L05 65F30 65L20 15A23 34A30 PDFBibTeX XMLCite \textit{C. Lubich} and \textit{I. Oseledets}, BIT 54, No. 1, 171--188 (2014; Zbl 1314.65095) Full Text: DOI arXiv
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations. (English) Zbl 1291.15061 BIT 54, No. 1, 219-255 (2014). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A63 15A21 47A55 15A42 15A18 15B10 PDFBibTeX XMLCite \textit{C. Mehl} et al., BIT 54, No. 1, 219--255 (2014; Zbl 1291.15061) Full Text: DOI
Bini, Dario A.; Iannazzo, Bruno; Jeuris, Ben; Vandebril, Raf Geometric means of structured matrices. (English) Zbl 1291.15034 BIT 54, No. 1, 55-83 (2014). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A24 14Q10 15B05 53B21 65K10 26E60 47A64 PDFBibTeX XMLCite \textit{D. A. Bini} et al., BIT 54, No. 1, 55--83 (2014; Zbl 1291.15034) Full Text: DOI Link
Malyshev, Alexander; Sadkane, Miloud A bisection method for measuring the distance of a quadratic matrix polynomial to the quadratic matrix polynomials that are singular on the unit circle. (English) Zbl 1290.65039 BIT 54, No. 1, 189-200 (2014). MSC: 65F30 65F15 15A22 PDFBibTeX XMLCite \textit{A. Malyshev} and \textit{M. Sadkane}, BIT 54, No. 1, 189--200 (2014; Zbl 1290.65039) Full Text: DOI
Güttel, Stefan; Knizhnerman, Leonid A black-box rational Arnoldi variant for Cauchy-Stieltjes matrix functions. (English) Zbl 1276.65026 BIT 53, No. 3, 595-616 (2013). MSC: 65F60 65F30 15A16 PDFBibTeX XMLCite \textit{S. Güttel} and \textit{L. Knizhnerman}, BIT 53, No. 3, 595--616 (2013; Zbl 1276.65026) Full Text: DOI
Bujanović, Zvonimir; Drmač, Zlatko A contribution to the theory and practice of the block Kogbetliantz method for computing the SVD. (English) Zbl 1264.65059 BIT 52, No. 4, 827-849 (2012). Reviewer: Ştefan M. Şoltuz (Westmount) MSC: 65F20 15A18 PDFBibTeX XMLCite \textit{Z. Bujanović} and \textit{Z. Drmač}, BIT 52, No. 4, 827--849 (2012; Zbl 1264.65059) Full Text: DOI
Donatelli, Marco; Serra-Capizzano, Stefano; Sesana, Debora Multigrid methods for Toeplitz linear systems with different size reduction. (English) Zbl 1251.65047 BIT 52, No. 2, 305-327 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65N55 15B05 PDFBibTeX XMLCite \textit{M. Donatelli} et al., BIT 52, No. 2, 305--327 (2012; Zbl 1251.65047) Full Text: DOI arXiv
Xie, Huiqing An iterative method for partial derivatives of eigenvectors of quadratic eigenvalue problems. (English) Zbl 1256.65032 BIT 52, No. 2, 525-536 (2012). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{H. Xie}, BIT 52, No. 2, 525--536 (2012; Zbl 1256.65032) Full Text: DOI
Smoktunowicz, Alicja; Wróbel, Iwona Numerical aspects of computing the Moore-Penrose inverse of full column rank matrices. (English) Zbl 1251.65053 BIT 52, No. 2, 503-524 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 15A09 15B52 PDFBibTeX XMLCite \textit{A. Smoktunowicz} and \textit{I. Wróbel}, BIT 52, No. 2, 503--524 (2012; Zbl 1251.65053) Full Text: DOI
Rump, Siegfried M. Verified bounds for singular values, in particular for the spectral norm of a matrix and its inverse. (English) Zbl 1226.65028 BIT 51, No. 2, 367-384 (2011). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 65F20 65G20 15A18 15A60 PDFBibTeX XMLCite \textit{S. M. Rump}, BIT 51, No. 2, 367--384 (2011; Zbl 1226.65028) Full Text: DOI
Gautschi, Walter Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices. (English) Zbl 1214.65021 BIT 51, No. 1, 103-125 (2011). MSC: 65F35 65F08 15A12 PDFBibTeX XMLCite \textit{W. Gautschi}, BIT 51, No. 1, 103--125 (2011; Zbl 1214.65021) Full Text: DOI
Nakatsukasa, Yuji Perturbation behavior of a multiple eigenvalue in generalized Hermitian eigenvalue problems. (English) Zbl 1189.15025 BIT 50, No. 1, 109-121 (2010). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A42 15A22 65F15 15B57 PDFBibTeX XMLCite \textit{Y. Nakatsukasa}, BIT 50, No. 1, 109--121 (2010; Zbl 1189.15025) 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
Chen, Xiao Shan Perturbation bounds for the periodic Schur decomposition. (English) Zbl 1188.15009 BIT 50, No. 1, 41-58 (2010). Reviewer: Rabe von Randow (Bonn) MSC: 15A21 65F15 93B35 PDFBibTeX XMLCite \textit{X. S. Chen}, BIT 50, No. 1, 41--58 (2010; Zbl 1188.15009) Full Text: DOI
Hnětynková, Iveta; Plešinger, Martin; Strakoš, Zdeněk The regularizing effect of the Golub-Kahan iterative bidiagonalization and revealing the noise level in the data. (English) Zbl 1184.65044 BIT 49, No. 4, 669-696 (2009). MSC: 65F22 65F20 15A06 15A21 PDFBibTeX XMLCite \textit{I. Hnětynková} et al., BIT 49, No. 4, 669--696 (2009; Zbl 1184.65044) Full Text: DOI
Noschese, Silvia; Reichel, Lothar The structured distance to normality of banded Toeplitz matrices. (English) Zbl 1178.15016 BIT 49, No. 3, 629-640 (2009). Reviewer: John D. Dixon (Ottawa) MSC: 15B05 15A15 15B57 65F15 PDFBibTeX XMLCite \textit{S. Noschese} and \textit{L. Reichel}, BIT 49, No. 3, 629--640 (2009; Zbl 1178.15016) Full Text: DOI
Baboulin, Marc; Gratton, Serge Using dual techniques to derive componentwise and mixed condition numbers for a linear function of a linear least squares solution. (English) Zbl 1168.65022 BIT 49, No. 1, 3-19 (2009). Reviewer: Petko Hr. Petkov (Sofia) MSC: 65F35 15A60 15A12 65F20 PDFBibTeX XMLCite \textit{M. Baboulin} and \textit{S. Gratton}, BIT 49, No. 1, 3--19 (2009; Zbl 1168.65022) Full Text: DOI
Matejaš, J.; Hari, V. Relative eigenvalue and singular value perturbations of scaled diagonally dominant matrices. (English) Zbl 1217.15027 BIT 48, No. 4, 769-781 (2008). MSC: 15A42 15B57 15A12 65F20 65F35 PDFBibTeX XMLCite \textit{J. Matejaš} and \textit{V. Hari}, BIT 48, No. 4, 769--781 (2008; Zbl 1217.15027) Full Text: DOI
Chen, Xiao Shan Two perturbation bounds for singular values and eigenvalues. (English) Zbl 1158.15016 BIT 48, No. 3, 493-497 (2008). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A42 15A18 PDFBibTeX XMLCite \textit{X. S. Chen}, BIT 48, No. 3, 493--497 (2008; Zbl 1158.15016) Full Text: DOI
Huhtanen, Marko Factoring matrices into the product of two matrices. (English) Zbl 1186.15011 BIT 47, No. 4, 793-808 (2007). MSC: 15A23 15A09 PDFBibTeX XMLCite \textit{M. Huhtanen}, BIT 47, No. 4, 793--808 (2007; Zbl 1186.15011) Full Text: DOI
Ye, Qiang; Zha, Hongyuan; Li, Ren-Cang Analysis of an alignment algorithm for nonlinear dimensionality reduction. (English) Zbl 1129.62062 BIT 47, No. 4, 873-885 (2007). MSC: 62H99 62-07 15A99 62H30 65F15 15A18 PDFBibTeX XMLCite \textit{Q. Ye} et al., BIT 47, No. 4, 873--885 (2007; Zbl 1129.62062) Full Text: DOI
Wermuth, N.; Wiedenbeck, M.; Cox, D. R. Partial inversion for linear systems and partial closure of independence graphs. (English) Zbl 1106.05094 BIT 46, No. 4, 883-901 (2006). MSC: 05C99 00A71 15A09 15A23 62H99 62J05 PDFBibTeX XMLCite \textit{N. Wermuth} et al., BIT 46, No. 4, 883--901 (2006; Zbl 1106.05094) Full Text: DOI
Rump, S. M. Verification of positive definiteness. (English) Zbl 1101.65039 BIT 46, No. 2, 433-452 (2006). Reviewer: Petko Hr. Petkov (Sofia) MSC: 65F15 65G20 15B48 65G50 PDFBibTeX XMLCite \textit{S. M. Rump}, BIT 46, No. 2, 433--452 (2006; Zbl 1101.65039) Full Text: DOI
Laszkiewicz, B.; Ziȩtak, K. Approximation of matrices and a family of Gander methods for polar decomposition. (English) Zbl 1104.65035 BIT 46, No. 2, 345-366 (2006). Reviewer: Raffaella Pavani (Milano) MSC: 65F30 15A23 PDFBibTeX XMLCite \textit{B. Laszkiewicz} and \textit{K. Ziȩtak}, BIT 46, No. 2, 345--366 (2006; Zbl 1104.65035) Full Text: DOI
Åhlander, Krister; Munthe-Kaas, Hans Applications of the generalized Fourier transform in numerical linear algebra. (English) Zbl 1093.65042 BIT 45, No. 4, 819-850 (2005). MSC: 65F30 65T50 15A21 15B57 PDFBibTeX XMLCite \textit{K. Åhlander} and \textit{H. Munthe-Kaas}, BIT 45, No. 4, 819--850 (2005; Zbl 1093.65042) Full Text: DOI
Robbé, M.; Sadkane, M. Convergence analysis of the block Householder diagonalization algorithm. (English) Zbl 1079.65054 BIT 45, No. 1, 181-195 (2005). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65F30 15A21 PDFBibTeX XMLCite \textit{M. Robbé} and \textit{M. Sadkane}, BIT 45, No. 1, 181--195 (2005; Zbl 1079.65054) Full Text: DOI
Skrzipek, M.-R. Inversion of Vandermonde-like matrices. (English) Zbl 1069.65024 BIT 44, No. 2, 291-306 (2004). Reviewer: Daniel Kressner (Zagreb) MSC: 65F05 15A09 PDFBibTeX XMLCite \textit{M. R. Skrzipek}, BIT 44, No. 2, 291--306 (2004; Zbl 1069.65024) Full Text: DOI
Chen, Xiao-shan; Li, Wen; Sun, Weiwei Some new perturbation bounds for the generalized polar decomposition. (English) Zbl 1067.15017 BIT 44, No. 2, 237-244 (2004). Reviewer: Erich W. Ellers (Toronto) MSC: 15A45 15A23 PDFBibTeX XMLCite \textit{X.-s. Chen} et al., BIT 44, No. 2, 237--244 (2004; Zbl 1067.15017) Full Text: DOI
Byers, R.; Kressner, D. On the condition of a complex eigenvalue under real perturbations. (English) Zbl 1071.15004 BIT 44, No. 2, 209-214 (2004). Reviewer: R. Militaru (Craiova) MSC: 15A12 15A18 PDFBibTeX XMLCite \textit{R. Byers} and \textit{D. Kressner}, BIT 44, No. 2, 209--214 (2004; Zbl 1071.15004) Full Text: DOI
László, L. Second-order optimality condition for \({\Delta}H\)-matrices. (English) Zbl 1046.15022 BIT 43, No. 3, 587-593 (2003). Reviewer: Martín Argerami (Regina) MSC: 15A45 15A60 15B57 PDFBibTeX XMLCite \textit{L. László}, BIT 43, No. 3, 587--593 (2003; Zbl 1046.15022) Full Text: DOI
Janovská, D.; Opfer, G. Givens’ transformation applied to quaternion valued vectors. (English) Zbl 1052.65030 BIT 43, Suppl., 991-1002 (2003). Reviewer: Frank Uhlig (Auburn) MSC: 65F25 65F30 15B33 15A04 12E15 68W30 PDFBibTeX XMLCite \textit{D. Janovská} and \textit{G. Opfer}, BIT 43, 991--1002 (2003; Zbl 1052.65030) Full Text: DOI
Rump, Siegfried M.; Zemke, Jens-Peter M. On eigenvector bounds. (English) Zbl 1042.65029 BIT 43, No. 4, 823-837 (2003). Reviewer: Amin Boumenir (Carrollton) MSC: 65F15 15A42 PDFBibTeX XMLCite \textit{S. M. Rump} and \textit{J.-P. M. Zemke}, BIT 43, No. 4, 823--837 (2003; Zbl 1042.65029) Full Text: DOI
Dopico, Froilán M.; Moro, Julio Perturbation theory for simultaneous bases of singular subspaces. (English) Zbl 1003.65039 BIT 42, No. 1, 84-109 (2002). Reviewer: Horst Hollatz (Magdeburg) MSC: 65F20 15A42 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{J. Moro}, BIT 42, No. 1, 84--109 (2002; Zbl 1003.65039) Full Text: DOI
Chang, Xiao-Wen Some features of Gaussian elimination with rook pivoting. (English) Zbl 0997.65046 BIT 42, No. 1, 66-83 (2002). MSC: 65F05 15A23 65G50 65F35 PDFBibTeX XMLCite \textit{X.-W. Chang}, BIT 42, No. 1, 66--83 (2002; Zbl 0997.65046) Full Text: DOI
Benner, Peter; Mehrmann, Volker; Xu, Hongguo Perturbation analysis for the eigenvalue problem of a formal product of matrices. (English) Zbl 1003.65032 BIT 42, No. 1, 1-43 (2002). Reviewer: Horst Hollatz (Magdeburg) MSC: 65F15 15A42 PDFBibTeX XMLCite \textit{P. Benner} et al., BIT 42, No. 1, 1--43 (2002; Zbl 1003.65032) Full Text: DOI
Politi, Tiziano A formula for the exponential of a real skew-symmetric matrix of order 4. (English) Zbl 1021.65020 BIT 41, No. 4, 842-845 (2001). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F30 15A54 15A60 PDFBibTeX XMLCite \textit{T. Politi}, BIT 41, No. 4, 842--845 (2001; Zbl 1021.65020) Full Text: DOI
Mastronardi, N.; Chandrasekaran, S.; Van Huffel, S. Fast and stable reduction of diagonal plus semi-separable matrices to tridiagonal and bidiagonal form. (English) Zbl 0984.65041 BIT 41, No. 1, 149-157 (2001). Reviewer: Emil Minchev (Sofia) MSC: 65F30 15A21 65F05 PDFBibTeX XMLCite \textit{N. Mastronardi} et al., BIT 41, No. 1, 149--157 (2001; Zbl 0984.65041) Full Text: DOI