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
Schwartz, Oded; Vaknin, Noa Pebbling game and alternative basis for high performance matrix multiplication. (English) Zbl 1527.15001 SIAM J. Sci. Comput. 45, No. 6, C277-C303 (2023). MSC: 15-04 65F99 65K05 PDFBibTeX XMLCite \textit{O. Schwartz} and \textit{N. Vaknin}, SIAM J. Sci. Comput. 45, No. 6, C277--C303 (2023; Zbl 1527.15001) Full Text: DOI
Li, Zihao; Lim, Lek-Heng Generalized matrix nearness problems. (English) Zbl 1527.15017 SIAM J. Matrix Anal. Appl. 44, No. 4, 1709-1730 (2023). MSC: 15A45 15A18 15A60 15B05 65K10 65F10 PDFBibTeX XMLCite \textit{Z. Li} and \textit{L.-H. Lim}, SIAM J. Matrix Anal. Appl. 44, No. 4, 1709--1730 (2023; Zbl 1527.15017) Full Text: DOI arXiv
Dopico, Froilán M.; Noferini, Vanni The \(\mathbb{DL}(P)\) vector space of pencils for singular matrix polynomials. (English) Zbl 1525.65028 Linear Algebra Appl. 677, 88-131 (2023). MSC: 65F15 15A18 15A22 15A54 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{V. Noferini}, Linear Algebra Appl. 677, 88--131 (2023; Zbl 1525.65028) Full Text: DOI arXiv
Xiong, Yebo Accurate computation of eigenvalues of generalized sign regular quasi-Said-Ball-Vandermonde matrices. (English) Zbl 1525.65030 Calcolo 60, No. 3, Paper No. 39, 31 p. (2023). MSC: 65F15 15A18 15B05 PDFBibTeX XMLCite \textit{Y. Xiong}, Calcolo 60, No. 3, Paper No. 39, 31 p. (2023; Zbl 1525.65030) Full Text: DOI
Noferini, Vanni; Nyman, Lauri; Pérez, Javier; Quintana, María C. Perturbation theory of transfer function matrices. (English) Zbl 1522.65052 SIAM J. Matrix Anal. Appl. 44, No. 3, 1299-1320 (2023). MSC: 65F15 15A18 15A54 93B20 93B60 PDFBibTeX XMLCite \textit{V. Noferini} et al., SIAM J. Matrix Anal. Appl. 44, No. 3, 1299--1320 (2023; Zbl 1522.65052) Full Text: DOI arXiv
Yang, Zhao; Chen, Tao The accurate and efficient solutions of linear systems for generalized sign regular matrices with certain signature. (English) Zbl 07733952 J. Comput. Appl. Math. 431, Article ID 115280, 16 p. (2023). MSC: 65Fxx 15Axx 15Bxx PDFBibTeX XMLCite \textit{Z. Yang} and \textit{T. Chen}, J. Comput. Appl. Math. 431, Article ID 115280, 16 p. (2023; Zbl 07733952) Full Text: DOI
Peca-Medlin, John; Trogdon, Thomas Growth factors of random butterfly matrices and the stability of avoiding pivoting. (English) Zbl 1521.15032 SIAM J. Matrix Anal. Appl. 44, No. 3, 945-970 (2023). MSC: 15B52 60B20 65F99 68W20 PDFBibTeX XMLCite \textit{J. Peca-Medlin} and \textit{T. Trogdon}, SIAM J. Matrix Anal. Appl. 44, No. 3, 945--970 (2023; Zbl 1521.15032) Full Text: DOI arXiv
Bozzo, Enrico; Deidda, Piero; Di Fiore, Carmine The Jordan and Frobenius pairs of the inverse. (English) Zbl 1518.15014 Linear Multilinear Algebra 71, No. 10, 1730-1735 (2023). Reviewer: Tin Yau Tam (Reno) MSC: 15A20 15A21 15A24 PDFBibTeX XMLCite \textit{E. Bozzo} et al., Linear Multilinear Algebra 71, No. 10, 1730--1735 (2023; Zbl 1518.15014) Full Text: DOI
Alonso, José M.; Ibáñez, J.; Defez, E.; Alonso-Jordá, P. Euler polynomials for the matrix exponential approximation. (English) Zbl 1522.65069 J. Comput. Appl. Math. 425, Article ID 115074, 15 p. (2023). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{J. M. Alonso} et al., J. Comput. Appl. Math. 425, Article ID 115074, 15 p. (2023; Zbl 1522.65069) Full Text: DOI
Delgado, Jorge; Koev, Plamen; Marco, Ana; Martínez, José-Javier; Peña, Juan Manuel; Persson, Per-Olof; Spasov, Steven Bidiagonal decompositions of Vandermonde-type matrices of arbitrary rank. (English) Zbl 1512.65060 J. Comput. Appl. Math. 426, Article ID 115064, 15 p. (2023). MSC: 65F15 15A23 15B48 15B35 PDFBibTeX XMLCite \textit{J. Delgado} et al., J. Comput. Appl. Math. 426, Article ID 115064, 15 p. (2023; Zbl 1512.65060) Full Text: DOI arXiv
Jia, Ji-Teng; Wang, Fu-Rong A cost-efficient numerical algorithm for the determinants of heptadiagonal matrices with Toeplitz structure. (English) Zbl 1515.65092 J. Math. Chem. 61, No. 6, 1275-1291 (2023). MSC: 65F40 15B05 PDFBibTeX XMLCite \textit{J.-T. Jia} and \textit{F.-R. Wang}, J. Math. Chem. 61, No. 6, 1275--1291 (2023; Zbl 1515.65092) Full Text: DOI
Lund, Kathryn Adaptively restarted block Krylov subspace methods with low-synchronization skeletons. (English) Zbl 1522.65057 Numer. Algorithms 93, No. 2, 731-764 (2023). MSC: 65F25 65F10 65F50 65Y05 15-04 PDFBibTeX XMLCite \textit{K. Lund}, Numer. Algorithms 93, No. 2, 731--764 (2023; Zbl 1522.65057) Full Text: DOI arXiv
Al Daas, Hussam; Ballard, Grey; Cazeaux, Paul; Hallman, Eric; Międlar, Agnieszka; Pasha, Mirjeta; Reid, Tim W.; Saibaba, Arvind K. Randomized algorithms for rounding in the tensor-train format. (English) Zbl 07673280 SIAM J. Sci. Comput. 45, No. 1, A74-A95 (2023). MSC: 68W20 15A69 65F55 65F99 65Y20 PDFBibTeX XMLCite \textit{H. Al Daas} et al., SIAM J. Sci. Comput. 45, No. 1, A74--A95 (2023; Zbl 07673280) Full Text: DOI arXiv
Jia, Zhongxiao; Li, Haibo The joint bidiagonalization method for large GSVD computations in finite precision. (English) Zbl 1516.65029 SIAM J. Matrix Anal. Appl. 44, No. 1, 382-407 (2023). MSC: 65F15 65F20 65F25 15A18 65F50 65G50 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{H. Li}, SIAM J. Matrix Anal. Appl. 44, No. 1, 382--407 (2023; Zbl 1516.65029) Full Text: DOI arXiv
Petkov, Petko H. Jordan-Schur algorithms for computing the matrix exponential. (English) Zbl 07665365 Int. J. Math. Math. Sci. 2023, Article ID 4908185, 17 p. (2023). MSC: 65Fxx 15Axx 65Dxx PDFBibTeX XMLCite \textit{P. H. Petkov}, Int. J. Math. Math. Sci. 2023, Article ID 4908185, 17 p. (2023; Zbl 07665365) Full Text: DOI
Zamani, Moslem; Hladík, Milan Error bounds and a condition number for the absolute value equations. (English) Zbl 1512.90224 Math. Program. 198, No. 1 (A), 85-113 (2023). MSC: 90C30 90C33 15A06 PDFBibTeX XMLCite \textit{M. Zamani} and \textit{M. Hladík}, Math. Program. 198, No. 1 (A), 85--113 (2023; Zbl 1512.90224) Full Text: DOI arXiv
Dopico, Froilán M.; Quintana, María C.; Van Dooren, Paul Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations. (English) Zbl 1509.65029 Calcolo 60, No. 1, Paper No. 7, 45 p. (2023). MSC: 65F15 15A18 15A22 15A54 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Calcolo 60, No. 1, Paper No. 7, 45 p. (2023; Zbl 1509.65029) 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
Bujanović, Zvonimir; Kressner, Daniel; Schröder, Christian Iterative refinement of Schur decompositions. (English) Zbl 1507.65076 Numer. Algorithms 92, No. 1, 247-267 (2023). MSC: 65F15 15A18 15A23 PDFBibTeX XMLCite \textit{Z. Bujanović} et al., Numer. Algorithms 92, No. 1, 247--267 (2023; Zbl 1507.65076) Full Text: DOI arXiv
Noferini, Vanni; Van Dooren, Paul On computing root polynomials and minimal bases of matrix pencils. (English) Zbl 1504.15039 Linear Algebra Appl. 658, 86-115 (2023). MSC: 15A22 15A18 15A21 PDFBibTeX XMLCite \textit{V. Noferini} and \textit{P. Van Dooren}, Linear Algebra Appl. 658, 86--115 (2023; Zbl 1504.15039) Full Text: DOI arXiv
Edelman, Alan; Jeong, Sungwoo On the structure of the solutions to the matrix equation \(G^\ast JG = J\). (English) Zbl 1505.15012 Linear Algebra Appl. 657, 241-273 (2023). Reviewer: Igor Korepanov (Moskva) MSC: 15A24 65F45 15A22 PDFBibTeX XMLCite \textit{A. Edelman} and \textit{S. Jeong}, Linear Algebra Appl. 657, 241--273 (2023; Zbl 1505.15012) Full Text: DOI arXiv
Sastre, Jorge; Ibáñez, Javier On the backward and forward error of approximations of analytic functions and applications to the computation of matrix functions. (English) Zbl 1502.65022 J. Comput. Appl. Math. 419, Article ID 114706, 18 p. (2023). MSC: 65F60 65D15 15A16 26C15 41-04 41A10 PDFBibTeX XMLCite \textit{J. Sastre} and \textit{J. Ibáñez}, J. Comput. Appl. Math. 419, Article ID 114706, 18 p. (2023; Zbl 1502.65022) Full Text: DOI
Juditsky, Anatoli; Kotsalis, Georgios; Nemirovski, Arkadi Tight computationally efficient approximation of matrix norms with applications. (English) Zbl 07711217 OJMO, Open J. Math. Optim. 3, Article No. 7, 38 p. (2022). MSC: 65F35 15A60 90C25 93B30 93B51 PDFBibTeX XMLCite \textit{A. Juditsky} et al., OJMO, Open J. Math. Optim. 3, Article No. 7, 38 p. (2022; Zbl 07711217) Full Text: DOI arXiv
Li, Chaoqian; Huang, Zhengyu; Zhao, Jianxing On Schur complements of Dashnic-Zusmanovich type matrices. (English) Zbl 1511.15005 Linear Multilinear Algebra 70, No. 19, 4071-4096 (2022). MSC: 15A06 65F05 65F10 PDFBibTeX XMLCite \textit{C. Li} et al., Linear Multilinear Algebra 70, No. 19, 4071--4096 (2022; Zbl 1511.15005) Full Text: DOI
Yengibaryan, B. N.; Yengibaryan, N. B. Multiple factorization of skew-symmetric matrices. (English) Zbl 1503.15011 J. Contemp. Math. Anal., Armen. Acad. Sci. 57, No. 5, 283-288 (2022) and Izv. Nats. Akad. Nauk Armen., Mat. 57, No. 5, 25-32 (2022). MSC: 15A23 42B25 PDFBibTeX XMLCite \textit{B. N. Yengibaryan} and \textit{N. B. Yengibaryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 57, No. 5, 283--288 (2022; Zbl 1503.15011) Full Text: DOI
Mollahasani, Somayeh; Beik, Fatemeh Panjeh Ali Absolute value equations with tensor product structure: unique solvability and numerical solution. (English) Zbl 07613017 Appl. Math., Praha 67, No. 5, 657-674 (2022). MSC: 65F10 15A69 PDFBibTeX XMLCite \textit{S. Mollahasani} and \textit{F. P. A. Beik}, Appl. Math., Praha 67, No. 5, 657--674 (2022; Zbl 07613017) Full Text: DOI
Kohaupt, Ludwig; Wu, Yan Lower estimates on the condition number of a Toeplitz sinc matrix and related questions. (English) Zbl 1513.15054 Constr. Math. Anal. 5, No. 3, 168-182 (2022). MSC: 15B05 65F22 15A12 PDFBibTeX XMLCite \textit{L. Kohaupt} and \textit{Y. Wu}, Constr. Math. Anal. 5, No. 3, 168--182 (2022; Zbl 1513.15054) Full Text: DOI
Jia, Ji-Teng; Wang, Jie; He, Qi; Yan, Yu-Cong A division-free algorithm for numerically evaluating the determinant of a specific quasi-tridiagonal matrix. (English) Zbl 1503.65081 J. Math. Chem. 60, No. 9, 1695-1706 (2022). MSC: 65F40 15A15 PDFBibTeX XMLCite \textit{J.-T. Jia} et al., J. Math. Chem. 60, No. 9, 1695--1706 (2022; Zbl 1503.65081) Full Text: DOI
Dmytryshyn, Andrii; Fasi, Massimiliano; Gulliksson, Mårten The dynamical functional particle method for multi-term linear matrix equations. (English) Zbl 1510.65078 Appl. Math. Comput. 435, Article ID 127458, 10 p. (2022). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{A. Dmytryshyn} et al., Appl. Math. Comput. 435, Article ID 127458, 10 p. (2022; Zbl 1510.65078) Full Text: DOI
Beckermann, Bernhard; Bisch, Joanna; Luce, Robert On the rational approximation of Markov functions, with applications to the computation of Markov functions of Toeplitz matrices. (English) Zbl 1497.65081 Numer. Algorithms 91, No. 1, 109-144 (2022). MSC: 65F60 15A16 15B05 PDFBibTeX XMLCite \textit{B. Beckermann} et al., Numer. Algorithms 91, No. 1, 109--144 (2022; Zbl 1497.65081) Full Text: DOI arXiv
Matejaš, Josip; Hari, Vjeran The high relative accuracy of the HZ method. (English) Zbl 1510.65069 Appl. Math. Comput. 433, Article ID 127358, 21 p. (2022). MSC: 65F15 15A18 65G50 PDFBibTeX XMLCite \textit{J. Matejaš} and \textit{V. Hari}, Appl. Math. Comput. 433, Article ID 127358, 21 p. (2022; Zbl 1510.65069) Full Text: DOI
Che, Maolin; Chen, Juefei; Wei, Yimin Perturbations of the Tcur decomposition for tensor valued data in the Tucker format. (English) Zbl 1494.15024 J. Optim. Theory Appl. 194, No. 3, 852-877 (2022). MSC: 15A69 15A23 65F10 65F15 PDFBibTeX XMLCite \textit{M. Che} et al., J. Optim. Theory Appl. 194, No. 3, 852--877 (2022; Zbl 1494.15024) Full Text: DOI
Higham, Nicholas J.; Mikaitis, Mantas Anymatrix: an extensible MATLAB matrix collection. (English) Zbl 1492.65002 Numer. Algorithms 90, No. 3, 1175-1196 (2022). MSC: 65-04 65Fxx 15-04 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{M. Mikaitis}, Numer. Algorithms 90, No. 3, 1175--1196 (2022; Zbl 1492.65002) Full Text: DOI
Kubelík, P.; Kurbatov, V. G.; Kurbatova, I. V. Calculating a function of a matrix with a real spectrum. (English) Zbl 1498.65061 Numer. Algorithms 90, No. 3, 905-930 (2022). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{P. Kubelík} et al., Numer. Algorithms 90, No. 3, 905--930 (2022; Zbl 1498.65061) Full Text: DOI arXiv
Barlow, Jesse L.; Eisenstat, Stanley C.; Stor, Nevena Jakovčević; Slapnicar, Ivan Deflation for the symmetric arrowhead and diagonal-plus-rank-one eigenvalue problems. (English) Zbl 1492.65085 SIAM J. Matrix Anal. Appl. 43, No. 2, 681-709 (2022). MSC: 65F15 65G50 15-04 15B99 PDFBibTeX XMLCite \textit{J. L. Barlow} et al., SIAM J. Matrix Anal. Appl. 43, No. 2, 681--709 (2022; Zbl 1492.65085) Full Text: DOI
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
Higham, Nicholas J.; Lettington, Matthew C. Optimizing and factorizing the Wilson matrix. (English) Zbl 1489.15012 Am. Math. Mon. 129, No. 5, 454-465 (2022). MSC: 15A12 15A23 15B48 15B36 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{M. C. Lettington}, Am. Math. Mon. 129, No. 5, 454--465 (2022; Zbl 1489.15012) Full Text: DOI
Meng, Lingsheng; He, Yuwen; Miao, Shu-Xin Structured backward errors for two kinds of generalized saddle point systems. (English) Zbl 1489.15008 Linear Multilinear Algebra 70, No. 7, 1345-1355 (2022). MSC: 15A06 65F10 PDFBibTeX XMLCite \textit{L. Meng} et al., Linear Multilinear Algebra 70, No. 7, 1345--1355 (2022; Zbl 1489.15008) Full Text: DOI
Helsing, Johan; Jiang, Shidong Solving Fredholm second-kind integral equations with singular right-hand sides on non-smooth boundaries. (English) Zbl 07516798 J. Comput. Phys. 448, Article ID 110714, 16 p. (2022). MSC: 65Nxx 15Axx 35Jxx PDFBibTeX XMLCite \textit{J. Helsing} and \textit{S. Jiang}, J. Comput. Phys. 448, Article ID 110714, 16 p. (2022; Zbl 07516798) Full Text: DOI arXiv
Massei, Stefano; Robol, Leonardo Mixed precision recursive block diagonalization for bivariate functions of matrices. (English) Zbl 1492.65120 SIAM J. Matrix Anal. Appl. 43, No. 2, 638-660 (2022). MSC: 65F60 15A20 PDFBibTeX XMLCite \textit{S. Massei} and \textit{L. Robol}, SIAM J. Matrix Anal. Appl. 43, No. 2, 638--660 (2022; Zbl 1492.65120) Full Text: DOI arXiv
Liu, Jun; Wang, Xiang-Sheng; Wu, Shu-Lin; Zhou, Tao A well-conditioned direct pint algorithm for first- and second-order evolutionary equations. (English) Zbl 07506441 Adv. Comput. Math. 48, No. 3, Paper No. 16, 29 p. (2022). MSC: 65M55 65M12 65M15 65M06 65N06 65F05 15B05 65Y05 PDFBibTeX XMLCite \textit{J. Liu} et al., Adv. Comput. Math. 48, No. 3, Paper No. 16, 29 p. (2022; Zbl 07506441) 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
Kumar, Ashim; Cardoso, João R.; Singh, Gurjinder Explicit solutions of the singular Yang-Baxter-like matrix equation and their numerical computation. (English) Zbl 07493759 Mediterr. J. Math. 19, No. 2, Paper No. 85, 19 p. (2022). MSC: 15A24 15A18 15A09 16T25 65F45 PDFBibTeX XMLCite \textit{A. Kumar} et al., Mediterr. J. Math. 19, No. 2, Paper No. 85, 19 p. (2022; Zbl 07493759) Full Text: DOI arXiv
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
Lv, Peng; Zheng, Bing Perturbation analysis for the \(QX\) factorization for centrosymmetric matrices. (English) Zbl 1484.15013 Linear Multilinear Algebra 70, No. 3, 557-580 (2022). MSC: 15A23 15A12 15A45 47A55 PDFBibTeX XMLCite \textit{P. Lv} and \textit{B. Zheng}, Linear Multilinear Algebra 70, No. 3, 557--580 (2022; Zbl 1484.15013) 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
Carson, Erin; Lund, Kathryn; Rozložník, Miroslav; Thomas, Stephen Block Gram-Schmidt algorithms and their stability properties. (English) Zbl 1490.65074 Linear Algebra Appl. 638, 150-195 (2022). MSC: 65F25 15A23 65F10 PDFBibTeX XMLCite \textit{E. Carson} et al., Linear Algebra Appl. 638, 150--195 (2022; Zbl 1490.65074) Full Text: DOI arXiv
Petkov, Petko H.; Konstantinov, Mihail M. The numerical Jordan form. (English) Zbl 1482.65059 Linear Algebra Appl. 638, 1-45 (2022). MSC: 65F15 65F22 15A20 15A21 47A55 PDFBibTeX XMLCite \textit{P. H. Petkov} and \textit{M. M. Konstantinov}, Linear Algebra Appl. 638, 1--45 (2022; Zbl 1482.65059) Full Text: DOI
Lei, Xiaojun; Gu, Tongxiang; Graillat, Stef; Jiang, Hao; Qi, Jin A fast parallel high-precision summation algorithm based on AccSumK. (English) Zbl 1482.65074 J. Comput. Appl. Math. 406, Article ID 113827, 15 p. (2022). MSC: 65G50 15-04 65F35 65F05 65Y05 PDFBibTeX XMLCite \textit{X. Lei} et al., J. Comput. Appl. Math. 406, Article ID 113827, 15 p. (2022; Zbl 1482.65074) Full Text: DOI HAL
Horning, Andrew; Nakatsukasa, Yuji Twice is enough for dangerous eigenvalues. (English) Zbl 1482.65058 SIAM J. Matrix Anal. Appl. 43, No. 1, 68-93 (2022). MSC: 65F15 65G50 15A18 PDFBibTeX XMLCite \textit{A. Horning} and \textit{Y. Nakatsukasa}, SIAM J. Matrix Anal. Appl. 43, No. 1, 68--93 (2022; Zbl 1482.65058) Full Text: DOI arXiv
Lim, Lek-Heng Tensors in computations. (English) Zbl 1512.65079 Acta Numerica 30, 555-764 (2021). MSC: 65F99 15A69 65-02 PDFBibTeX XMLCite \textit{L.-H. Lim}, Acta Numerica 30, 555--764 (2021; Zbl 1512.65079) Full Text: DOI arXiv
Meng, Lingsheng; Li, Limin Condition numbers of the minimum norm least squares solution for the least squares problem involving Kronecker products. (English) Zbl 1525.65033 AIMS Math. 6, No. 9, 9366-9377 (2021). MSC: 65F20 65F35 15A12 15A09 15A69 PDFBibTeX XMLCite \textit{L. Meng} and \textit{L. Li}, AIMS Math. 6, No. 9, 9366--9377 (2021; Zbl 1525.65033) Full Text: DOI
Babarinsa, Olayiwola; Kamarulhaili, Hailiza; Sofi, Azfi Zaidi Mohammad Quadrant interlocking factorization algorithm of hourglass matrix from nonsingular matrix. (English) Zbl 1484.15011 Thai J. Math. 19, No. 4, 1461-1476 (2021). MSC: 15A23 65F35 PDFBibTeX XMLCite \textit{O. Babarinsa} et al., Thai J. Math. 19, No. 4, 1461--1476 (2021; Zbl 1484.15011) Full Text: Link
Samar, Mahvish; Farooq, Aamir Refined rigorous perturbation bounds for the SR decomposition. (English) Zbl 1499.65140 Appl. Math., Ser. B (Engl. Ed.) 36, No. 4, 537-553 (2021). MSC: 65F35 15A23 PDFBibTeX XMLCite \textit{M. Samar} and \textit{A. Farooq}, Appl. Math., Ser. B (Engl. Ed.) 36, No. 4, 537--553 (2021; Zbl 1499.65140) Full Text: DOI
Cai, Difeng; Xia, Jianlin A stable matrix version of the fast multipole method: stabilization strategies and examples. (English) Zbl 1475.65026 ETNA, Electron. Trans. Numer. Anal. 54, 581-609 (2021). MSC: 65F99 15A23 15A60 PDFBibTeX XMLCite \textit{D. Cai} and \textit{J. Xia}, ETNA, Electron. Trans. Numer. Anal. 54, 581--609 (2021; Zbl 1475.65026) Full Text: DOI Link
Hartman, David; Hladík, Milan; Říha, David Computing the spectral decomposition of interval matrices and a study on interval matrix powers. (English) Zbl 1510.65094 Appl. Math. Comput. 403, Article ID 126174, 13 p. (2021). MSC: 65G40 15A18 PDFBibTeX XMLCite \textit{D. Hartman} et al., Appl. Math. Comput. 403, Article ID 126174, 13 p. (2021; Zbl 1510.65094) Full Text: DOI arXiv
Wang, Shaoxin An efficient numerical method for condition number constrained covariance matrix approximation. (English) Zbl 1508.65038 Appl. Math. Comput. 397, Article ID 125925, 15 p. (2021). MSC: 65F35 15A12 15A60 PDFBibTeX XMLCite \textit{S. Wang}, Appl. Math. Comput. 397, Article ID 125925, 15 p. (2021; Zbl 1508.65038) Full Text: DOI arXiv
Jia, Zhongxiao; Li, Haibo The joint bidiagonalization process with partial reorthogonalization. (English) Zbl 1485.65038 Numer. Algorithms 88, No. 2, 965-992 (2021). MSC: 65F15 15A18 65F25 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{H. Li}, Numer. Algorithms 88, No. 2, 965--992 (2021; Zbl 1485.65038) Full Text: DOI arXiv
Carson, Erin; Lund, Kathryn; Rozložník, Miroslav The stability of block variants of classical Gram-Schmidt. (English) Zbl 1476.65060 SIAM J. Matrix Anal. Appl. 42, No. 3, 1365-1380 (2021). MSC: 65F25 15A23 PDFBibTeX XMLCite \textit{E. Carson} et al., SIAM J. Matrix Anal. Appl. 42, No. 3, 1365--1380 (2021; Zbl 1476.65060) Full Text: DOI
Gautier, Antoine; Hein, Matthias; Tudisco, Francesco The global convergence of the nonlinear power method for mixed-subordinate matrix norms. (English) Zbl 1473.65047 J. Sci. Comput. 88, No. 1, Paper No. 21, 28 p. (2021). MSC: 65F35 15B48 47H09 47H10 PDFBibTeX XMLCite \textit{A. Gautier} et al., J. Sci. Comput. 88, No. 1, Paper No. 21, 28 p. (2021; Zbl 1473.65047) Full Text: DOI
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
Yang, Zhao Accurate computations of eigenvalues of quasi-Cauchy-Vandermonde matrices. (English) Zbl 1465.65030 Linear Algebra Appl. 622, 268-293 (2021). MSC: 65F15 15B05 PDFBibTeX XMLCite \textit{Z. Yang}, Linear Algebra Appl. 622, 268--293 (2021; Zbl 1465.65030) Full Text: DOI
Tisseur, Françoise; Van Barel, Marc Min-max elementwise backward error for roots of polynomials and a corresponding backward stable root finder. (English) Zbl 1470.65094 Linear Algebra Appl. 623, 454-477 (2021). MSC: 65H04 65F15 30C15 15A22 15A80 15A18 47J10 PDFBibTeX XMLCite \textit{F. Tisseur} and \textit{M. Van Barel}, Linear Algebra Appl. 623, 454--477 (2021; Zbl 1470.65094) Full Text: DOI arXiv
Habermann, Karen An explicit formula for the inverse of a factorial Hankel matrix. (English) Zbl 1466.15004 Australas. J. Comb. 79, Part 2, 250-255 (2021). MSC: 15A09 15B05 PDFBibTeX XMLCite \textit{K. Habermann}, Australas. J. Comb. 79, Part 2, 250--255 (2021; Zbl 1466.15004) Full Text: arXiv Link
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
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
Miyajima, Shinya Verified computation of real powers of matrices. (English) Zbl 1461.65065 J. Comput. Appl. Math. 391, Article ID 113431, 13 p. (2021). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{S. Miyajima}, J. Comput. Appl. Math. 391, Article ID 113431, 13 p. (2021; Zbl 1461.65065) Full Text: DOI
Marco, Ana; Martínez, José-Javier; Viaña, Raquel Error analysis, perturbation theory and applications of the bidiagonal decomposition of rectangular totally positive h-Bernstein-Vandermonde matrices. (English) Zbl 1460.65040 Linear Algebra Appl. 613, 377-392 (2021). MSC: 65F15 65F20 65F35 15A23 15B48 PDFBibTeX XMLCite \textit{A. Marco} et al., Linear Algebra Appl. 613, 377--392 (2021; Zbl 1460.65040) Full Text: DOI
Faßbender, Heike; Rozložník, Miroslav; Singer, Sanja Nearly optimal scaling in the SR decomposition. (English) Zbl 1460.65045 Linear Algebra Appl. 613, 295-319 (2021). MSC: 65F25 65F35 65F05 15A23 PDFBibTeX XMLCite \textit{H. Faßbender} et al., Linear Algebra Appl. 613, 295--319 (2021; Zbl 1460.65045) Full Text: DOI arXiv
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
Higham, Desmond J.; Higham, Nicholas J.; Pranesh, Srikara Random matrices generating large growth in LU factorization with pivoting. (English) Zbl 1459.65036 SIAM J. Matrix Anal. Appl. 42, No. 1, 185-201 (2021). MSC: 65F05 15B52 PDFBibTeX XMLCite \textit{D. J. Higham} et al., SIAM J. Matrix Anal. Appl. 42, No. 1, 185--201 (2021; Zbl 1459.65036) Full Text: DOI
Petkov, Petko H. Componentwise perturbation analysis of the Schur decomposition of a matrix. (English) Zbl 1459.65051 SIAM J. Matrix Anal. Appl. 42, No. 1, 108-133 (2021). MSC: 65F15 47A55 47H14 15A23 PDFBibTeX XMLCite \textit{P. H. Petkov}, SIAM J. Matrix Anal. Appl. 42, No. 1, 108--133 (2021; Zbl 1459.65051) Full Text: DOI
Bosner, Nela Parallel reduction of four matrices to condensed form for a generalized matrix eigenvalue algorithm. (English) Zbl 1456.65189 Numer. Algorithms 86, No. 1, 153-178 (2021). MSC: 65F15 15A21 15A18 15A23 65Y05 65Y20 PDFBibTeX XMLCite \textit{N. Bosner}, Numer. Algorithms 86, No. 1, 153--178 (2021; Zbl 1456.65189) Full Text: DOI
Zimmermann, Ralf A geometric approach to subspace updates and orthogonal matrix decompositions under rank-one modifications. (English) Zbl 1456.15026 Math. Comput. 90, No. 328, 671-688 (2021). MSC: 15B10 15A23 65F15 65F25 PDFBibTeX XMLCite \textit{R. Zimmermann}, Math. Comput. 90, No. 328, 671--688 (2021; Zbl 1456.15026) Full Text: DOI arXiv
Hashemi, Behnam Sufficient conditions for the solvability of a Sylvester-like absolute value matrix equation. (English) Zbl 1459.15016 Appl. Math. Lett. 112, Article ID 106818, 6 p. (2021). Reviewer: John D. Dixon (Ottawa) MSC: 15A24 15A45 15A60 PDFBibTeX XMLCite \textit{B. Hashemi}, Appl. Math. Lett. 112, Article ID 106818, 6 p. (2021; Zbl 1459.15016) Full Text: DOI
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
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
Calandra, Henri; Gratton, Serge; Riccietti, Elisa; Vasseur, Xavier On iterative solution of the extended normal equations. (English) Zbl 1461.65035 SIAM J. Matrix Anal. Appl. 41, No. 4, 1571-1589 (2020). MSC: 65F10 65F35 65G50 15A06 PDFBibTeX XMLCite \textit{H. Calandra} et al., SIAM J. Matrix Anal. Appl. 41, No. 4, 1571--1589 (2020; Zbl 1461.65035) Full Text: DOI
De Terán, Fernando; Dmytryshyn, Andrii; Dopico, Froilán M. Generic symmetric matrix polynomials with bounded rank and fixed odd grade. (English) Zbl 1458.15015 SIAM J. Matrix Anal. Appl. 41, No. 3, 1033-1058 (2020). Reviewer: Tin Yau Tam (Reno) MSC: 15A18 15A03 15A21 15A22 47A56 65F15 PDFBibTeX XMLCite \textit{F. De Terán} et al., SIAM J. Matrix Anal. Appl. 41, No. 3, 1033--1058 (2020; Zbl 1458.15015) Full Text: DOI arXiv
Xie, Ze-Jia; Jin, Xiaoqing; Sin, Vaikuong An optimal preconditioner for tensor equations involving Einstein product. (English) Zbl 1456.15025 Linear Multilinear Algebra 68, No. 5, 886-902 (2020). MSC: 15A69 15A24 65F08 PDFBibTeX XMLCite \textit{Z.-J. Xie} et al., Linear Multilinear Algebra 68, No. 5, 886--902 (2020; Zbl 1456.15025) Full Text: DOI
Camps, Daan; Mach, Thomas; Vandebril, Raf; Watkins, David S. On pole-swapping algorithms for the eigenvalue problem. (English) Zbl 1456.65025 ETNA, Electron. Trans. Numer. Anal. 52, 480-508 (2020). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{D. Camps} et al., ETNA, Electron. Trans. Numer. Anal. 52, 480--508 (2020; Zbl 1456.65025) Full Text: DOI arXiv Link
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
Bachmayr, Markus; Kazeev, Vladimir Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs. (English) Zbl 1454.65160 Found. Comput. Math. 20, No. 5, 1175-1236 (2020). MSC: 65N30 65N55 65N12 65F08 65F10 65F35 65Y20 15A69 35J25 PDFBibTeX XMLCite \textit{M. Bachmayr} and \textit{V. Kazeev}, Found. Comput. Math. 20, No. 5, 1175--1236 (2020; Zbl 1454.65160) Full Text: DOI arXiv
Benzi, Michele; Fika, Paraskevi; Mitrouli, Marilena Performance and stability of direct methods for computing generalized inverses of the graph Laplacian. (English) Zbl 1472.65052 ETNA, Electron. Trans. Numer. Anal. 53, 439-458 (2020). Reviewer: Dragan Stevanović (Niš) MSC: 65F50 15A09 05C50 PDFBibTeX XMLCite \textit{M. Benzi} et al., ETNA, Electron. Trans. Numer. Anal. 53, 439--458 (2020; Zbl 1472.65052) Full Text: DOI Link
Fasi, Massimiliano; Iannazzo, Bruno Substitution algorithms for rational matrix equations. (English) Zbl 1448.65033 ETNA, Electron. Trans. Numer. Anal. 53, 500-521 (2020). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{M. Fasi} and \textit{B. Iannazzo}, ETNA, Electron. Trans. Numer. Anal. 53, 500--521 (2020; Zbl 1448.65033) Full Text: DOI Link
Hallman, Eric Estimating the backward error for the least-squares problem with multiple right-hand sides. (English) Zbl 1453.65079 Linear Algebra Appl. 605, 227-238 (2020). MSC: 65F20 15A06 65F35 PDFBibTeX XMLCite \textit{E. Hallman}, Linear Algebra Appl. 605, 227--238 (2020; Zbl 1453.65079) Full Text: DOI
Shakil, M.; Ahsanullah, M. Some characterizations of the distribution of the condition number of a complex Gaussian matrix. (English) Zbl 1437.15050 Spec. Matrices 8, 22-35 (2020). MSC: 15B52 60B20 PDFBibTeX XMLCite \textit{M. Shakil} and \textit{M. Ahsanullah}, Spec. Matrices 8, 22--35 (2020; Zbl 1437.15050) Full Text: DOI
Fika, Paraskevi; Mitrouli, Marilena; Roupa, Paraskevi; Triantafyllou, Dimitrios The e-MoM approach for approximating matrix functionals. (English) Zbl 1440.65048 J. Comput. Appl. Math. 373, Article ID 112243, 14 p. (2020). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 65B05 15A18 PDFBibTeX XMLCite \textit{P. Fika} et al., J. Comput. Appl. Math. 373, Article ID 112243, 14 p. (2020; Zbl 1440.65048) Full Text: DOI
Pranesh, Srikara Backward error and condition number of a generalized Sylvester equation, with application to the stochastic Galerkin method. (English) Zbl 1436.65048 Linear Algebra Appl. 594, 95-116 (2020). MSC: 65F45 15A24 35R60 65M60 65N30 PDFBibTeX XMLCite \textit{S. Pranesh}, Linear Algebra Appl. 594, 95--116 (2020; Zbl 1436.65048) Full Text: DOI Link
Cortinovis, Alice; Kressner, Daniel; Massei, Stefano On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices. (English) Zbl 1436.65053 Linear Algebra Appl. 593, 251-268 (2020). MSC: 65F55 15A23 65D15 PDFBibTeX XMLCite \textit{A. Cortinovis} et al., Linear Algebra Appl. 593, 251--268 (2020; Zbl 1436.65053) Full Text: DOI arXiv
Li, Hanyu; Yin, Shuheng Single-pass randomized algorithms for LU decomposition. (English) Zbl 1434.15012 Linear Algebra Appl. 595, 101-122 (2020). MSC: 15A23 68W20 PDFBibTeX XMLCite \textit{H. Li} and \textit{S. Yin}, Linear Algebra Appl. 595, 101--122 (2020; Zbl 1434.15012) Full Text: DOI
Fukaya, Takeshi; Kannan, Ramaseshan; Nakatsukasa, Yuji; Yamamoto, Yusaku; Yanagisawa, Yuka Shifted Cholesky QR for computing the QR factorization of ill-conditioned matrices. (English) Zbl 1434.65041 SIAM J. Sci. Comput. 42, No. 1, A477-A503 (2020). MSC: 65F22 15A23 65F15 15A18 65G50 PDFBibTeX XMLCite \textit{T. Fukaya} et al., SIAM J. Sci. Comput. 42, No. 1, A477--A503 (2020; Zbl 1434.65041) Full Text: DOI arXiv
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
Rump, Siegfried M. Verified bounds for the determinant of real or complex point or interval matrices. (English) Zbl 1437.65020 J. Comput. Appl. Math. 372, Article ID 112610, 10 p. (2020). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F40 65F22 65F08 15A15 15A23 65G20 PDFBibTeX XMLCite \textit{S. M. Rump}, J. Comput. Appl. Math. 372, Article ID 112610, 10 p. (2020; Zbl 1437.65020) Full Text: DOI
Ogita, Takeshi; Aishima, Kensuke Iterative refinement for singular value decomposition based on matrix multiplication. (English) Zbl 1431.65045 J. Comput. Appl. Math. 369, Article ID 112512, 11 p. (2020). MSC: 65F15 15A18 15A23 65F99 PDFBibTeX XMLCite \textit{T. Ogita} and \textit{K. Aishima}, J. Comput. Appl. Math. 369, Article ID 112512, 11 p. (2020; Zbl 1431.65045) Full Text: DOI
Meng, Qingle; Diao, Huaian; Yu, Qinghua Structured condition number for multiple right-hand side linear systems with parameterized quasiseparable coefficient matrix. (English) Zbl 1433.65040 J. Comput. Appl. Math. 368, Article ID 112527, 20 p. (2020). MSC: 65F05 15A06 47A55 PDFBibTeX XMLCite \textit{Q. Meng} et al., J. Comput. Appl. Math. 368, Article ID 112527, 20 p. (2020; Zbl 1433.65040) Full Text: DOI arXiv
Anguas, Luis Miguel; Bueno, Maria Isabel; Dopico, Froilán M. Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations. (English) Zbl 1427.65045 Math. Comput. 89, No. 322, 767-805 (2020). MSC: 65F15 65F35 15A18 15A22 PDFBibTeX XMLCite \textit{L. M. Anguas} et al., Math. Comput. 89, No. 322, 767--805 (2020; Zbl 1427.65045) Full Text: DOI arXiv
Abderramán Marrero, J. On linear-time solvers for comrade linear systems. (English) Zbl 1486.65031 J. Comput. Appl. Math. 366, Article ID 112421, 9 p. (2020). Reviewer: Iveta Hnetynkova (Praha) MSC: 65F05 15A06 15A23 PDFBibTeX XMLCite \textit{J. Abderramán Marrero}, J. Comput. Appl. Math. 366, Article ID 112421, 9 p. (2020; Zbl 1486.65031) Full Text: DOI