Rubiano-Murcia, Jorge I.; Galvis, Juan Higher order derivatives of the adjugate matrix and the Jordan form. (English) Zbl 1528.15009 Linear Algebra Appl. 680, 137-155 (2024). Reviewer: Andreas Arvanitoyeorgos (Pátra) MSC: 15A20 15A21 15A24 15B57 PDFBibTeX XMLCite \textit{J. I. Rubiano-Murcia} and \textit{J. Galvis}, Linear Algebra Appl. 680, 137--155 (2024; Zbl 1528.15009) Full Text: DOI arXiv
Pertici, Donato Real logarithms of semi-simple matrices. (English) Zbl 1526.15007 Boll. Unione Mat. Ital. 16, No. 4, 649-666 (2023). MSC: 15A15 22E30 53C30 15B10 PDFBibTeX XMLCite \textit{D. Pertici}, Boll. Unione Mat. Ital. 16, No. 4, 649--666 (2023; Zbl 1526.15007) Full Text: DOI arXiv OA License
Arslan, Bahar; Cardoso, João R. Structured condition number for a certain class of functions of non-commuting matrices. (English) Zbl 07753761 Result. Math. 78, No. 6, Paper No. 248, 34 p. (2023). MSC: 15A12 15A60 15A27 65F35 PDFBibTeX XMLCite \textit{B. Arslan} and \textit{J. R. Cardoso}, Result. Math. 78, No. 6, Paper No. 248, 34 p. (2023; Zbl 07753761) Full Text: DOI
Schweitzer, Marcel Sensitivity of matrix function based network communicability measures: computational methods and a priori bounds. (English) Zbl 1521.05192 SIAM J. Matrix Anal. Appl. 44, No. 3, 1321-1348 (2023). MSC: 05C82 05C50 15A16 65F60 94A05 PDFBibTeX XMLCite \textit{M. Schweitzer}, SIAM J. Matrix Anal. Appl. 44, No. 3, 1321--1348 (2023; Zbl 1521.05192) Full Text: DOI arXiv
Lund, Kathryn; Schweitzer, Marcel The Fréchet derivative of the tensor t-function. (English) Zbl 1519.15020 Calcolo 60, No. 3, Paper No. 35, 34 p. (2023). MSC: 15A69 65F60 65F35 PDFBibTeX XMLCite \textit{K. Lund} and \textit{M. Schweitzer}, Calcolo 60, No. 3, Paper No. 35, 34 p. (2023; Zbl 1519.15020) Full Text: DOI arXiv
Hamburger, Christoph Eigenprojections and functions of a square matrix. (English) Zbl 1518.15010 Quaest. Math. 46, No. 5, 863-870 (2023). MSC: 15A18 15A16 PDFBibTeX XMLCite \textit{C. Hamburger}, Quaest. Math. 46, No. 5, 863--870 (2023; Zbl 1518.15010) Full Text: DOI
Miyajima, Shinya Fast verified computation for real powers of large matrices with Kronecker structure. (English) Zbl 07702357 Appl. Math. Comput. 453, Article ID 128055, 22 p. (2023). MSC: 15A16 65F60 65G20 PDFBibTeX XMLCite \textit{S. Miyajima}, Appl. Math. Comput. 453, Article ID 128055, 22 p. (2023; Zbl 07702357) Full Text: DOI
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
Abdalla, Mohamed; Abd-Elmageed, Hala; Abul-Ez, Mahmoud; Zayed, Mohra Further investigations on the two variables second Appell hypergeometric matrix function. (English) Zbl 1514.15013 Quaest. Math. 46, No. 3, 519-536 (2023). MSC: 15A16 33C65 34A05 33D15 33C05 PDFBibTeX XMLCite \textit{M. Abdalla} et al., Quaest. Math. 46, No. 3, 519--536 (2023; Zbl 1514.15013) Full Text: DOI
Ardiyansyah, Muhammad; Kosta, Dimitra; Roca-Lacostena, Jordi Embeddability of centrosymmetric matrices capturing the double-helix structure in natural and synthetic DNA. (English) Zbl 1512.92053 J. Math. Biol. 86, No. 5, Paper No. 69, 37 p. (2023). MSC: 92D15 15B51 15A16 PDFBibTeX XMLCite \textit{M. Ardiyansyah} et al., J. Math. Biol. 86, No. 5, Paper No. 69, 37 p. (2023; Zbl 1512.92053) Full Text: DOI arXiv
Fasi, Massimiliano; Higham, Nicholas J.; Liu, Xiaobo Computing the square root of a low-rank perturbation of the scaled identity matrix. (English) Zbl 1516.15004 SIAM J. Matrix Anal. Appl. 44, No. 1, 156-174 (2023). Reviewer: Ali Morassaei (Zanjan) MSC: 15A16 65F60 PDFBibTeX XMLCite \textit{M. Fasi} et al., SIAM J. Matrix Anal. Appl. 44, No. 1, 156--174 (2023; Zbl 1516.15004) Full Text: DOI
Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M.; Theron, F.; van Straaten, M. Solutions of the matrix equation \(p(X)=A\), with polynomial function \(p(\lambda)\) over field extensions of \(\mathbb{Q}\). (English) Zbl 1512.15014 Linear Algebra Appl. 665, 107-138 (2023). Reviewer: Ali Morassaei (Zanjan) MSC: 15A24 15A21 15B33 PDFBibTeX XMLCite \textit{G. J. Groenewald} et al., Linear Algebra Appl. 665, 107--138 (2023; Zbl 1512.15014) 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
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
Porcelli, Margherita; Simoncini, Valeria Numerical solution of a class of quasi-linear matrix equations. (English) Zbl 1511.65036 Linear Algebra Appl. 664, 349-368 (2023). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{M. Porcelli} and \textit{V. Simoncini}, Linear Algebra Appl. 664, 349--368 (2023; Zbl 1511.65036) Full Text: DOI arXiv
Casanellas, Marta; Fernández-Sánchez, Jesús; Roca-Lacostena, Jordi The embedding problem for Markov matrices. (English) Zbl 1508.60074 Publ. Mat., Barc. 67, No. 1, 411-445 (2023). MSC: 60J10 15A16 15B51 60J27 PDFBibTeX XMLCite \textit{M. Casanellas} et al., Publ. Mat., Barc. 67, No. 1, 411--445 (2023; Zbl 1508.60074) Full Text: DOI arXiv
Friday, Sarah; Futamura, Fumiko; Smith, Jordan; Waclawczyk, Aaron Powers of defective matrices from diagonalizable dilations. (English) Zbl 1510.15024 Linear Algebra Appl. 661, 202-221 (2023). Reviewer: Clément de Seguins Pazzis (Versailles) MSC: 15A20 15A23 15A18 42C15 65F15 PDFBibTeX XMLCite \textit{S. Friday} et al., Linear Algebra Appl. 661, 202--221 (2023; Zbl 1510.15024) Full Text: DOI
Guerry, Marie-Anne On monotone Markov chains and properties of monotone matrix roots. (English) Zbl 1514.15045 Spec. Matrices 11, Article ID 2022-0172, 14 p. (2023). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 15B51 60J10 PDFBibTeX XMLCite \textit{M.-A. Guerry}, Spec. Matrices 11, Article ID 2022--0172, 14 p. (2023; Zbl 1514.15045) Full Text: DOI
Schweitzer, Marcel Integral representations for higher-order Fréchet derivatives of matrix functions: quadrature algorithms and new results on the level-2 condition number. (English) Zbl 1505.65154 Linear Algebra Appl. 656, 247-276 (2023). MSC: 65D32 15A16 65D30 65F35 65F60 65R10 PDFBibTeX XMLCite \textit{M. Schweitzer}, Linear Algebra Appl. 656, 247--276 (2023; Zbl 1505.65154) Full Text: DOI arXiv
Cuchta, Tom; Grow, David; Wintz, Nick Discrete matrix hypergeometric functions. (English) Zbl 1525.33004 J. Math. Anal. Appl. 518, No. 2, Article ID 126716, 14 p. (2023). MSC: 33C20 15A16 PDFBibTeX XMLCite \textit{T. Cuchta} et al., J. Math. Anal. Appl. 518, No. 2, Article ID 126716, 14 p. (2023; Zbl 1525.33004) Full Text: DOI
Macías, E. M.; Pérez, R.; Martínez, H. J. An explicit polynomial to globalize algorithms for solving matrix polynomial equations. (English) Zbl 1497.65075 J. Comput. Appl. Math. 420, Article ID 114806, 21 p. (2023). MSC: 65F45 15A24 65H10 PDFBibTeX XMLCite \textit{E. M. Macías} et al., J. Comput. Appl. Math. 420, Article ID 114806, 21 p. (2023; Zbl 1497.65075) Full Text: DOI
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
Barash, Lev; Güttel, Stefan; Hen, Itay Calculating elements of matrix functions using divided differences. (English) Zbl 1525.15004 Comput. Phys. Commun. 271, Article ID 108219, 9 p. (2022). MSC: 15A16 15A15 82B20 81V70 PDFBibTeX XMLCite \textit{L. Barash} et al., Comput. Phys. Commun. 271, Article ID 108219, 9 p. (2022; Zbl 1525.15004) Full Text: DOI arXiv
Hanna, Magdy Tawfik Fractionalization of a discrete Hankel transform based on an involutory symmetric kernel matrix. (English) Zbl 1509.65030 Circuits Syst. Signal Process. 41, No. 5, 2750-2778 (2022). MSC: 65F15 65T50 15A18 PDFBibTeX XMLCite \textit{M. T. Hanna}, Circuits Syst. Signal Process. 41, No. 5, 2750--2778 (2022; Zbl 1509.65030) Full Text: DOI
Teretenkov, A. E. Singular value decomposition for skew-Takagi factorization with quantum applications. (English) Zbl 1514.15021 Linear Multilinear Algebra 70, No. 22, 7762-7769 (2022). MSC: 15A23 15A18 81Q12 PDFBibTeX XMLCite \textit{A. E. Teretenkov}, Linear Multilinear Algebra 70, No. 22, 7762--7769 (2022; Zbl 1514.15021) Full Text: DOI
Casanellas, Marta; Fernández-Sánchez, Jesús; Roca-Lacostena, Jordi An open set of \(4 \times 4\) embeddable matrices whose principal logarithm is not a Markov generator. (English) Zbl 1519.60067 Linear Multilinear Algebra 70, No. 19, 3768-3779 (2022). Reviewer: Isamu Dôku (Saitama) MSC: 60J25 15B52 PDFBibTeX XMLCite \textit{M. Casanellas} et al., Linear Multilinear Algebra 70, No. 19, 3768--3779 (2022; Zbl 1519.60067) Full Text: DOI arXiv
Elrawy, Amr; Abdalla, Mohamed; Alshehri, Maryam; Boulaaras, Salah; Saleem, Mohamed Results on building fractional matrix differential equation systems using a class of block matrices. (English) Zbl 1516.34015 Fractals 30, No. 10, Article ID 2240244, 9 p. (2022). MSC: 34A08 34A30 44A10 15A04 PDFBibTeX XMLCite \textit{A. Elrawy} et al., Fractals 30, No. 10, Article ID 2240244, 9 p. (2022; Zbl 1516.34015) Full Text: DOI
Bahşi, Mustafa; Mersin, Efruz Özlem On the hyperbolic Horadam matrix functions. (English) Zbl 1524.15018 Hacet. J. Math. Stat. 51, No. 6, 1550-1562 (2022). MSC: 15A16 PDFBibTeX XMLCite \textit{M. Bahşi} and \textit{E. Ö. Mersin}, Hacet. J. Math. Stat. 51, No. 6, 1550--1562 (2022; Zbl 1524.15018) Full Text: DOI
Francisco Neto, Antônio Matrix computations with the Omega calculus. (English) Zbl 1508.15006 Linear Multilinear Algebra 70, No. 20, 5075-5106 (2022). Reviewer: Ali Morassaei (Zanjan) MSC: 15A16 15A24 15B05 26B12 44A45 47A60 PDFBibTeX XMLCite \textit{A. Francisco Neto}, Linear Multilinear Algebra 70, No. 20, 5075--5106 (2022; Zbl 1508.15006) Full Text: DOI
Dieci, Luca; Papini, Alessandra; Pugliese, Alessandro Decompositions and coalescing eigenvalues of symmetric definite pencils depending on parameters. (English) Zbl 1504.15022 Numer. Algorithms 91, No. 4, 1879-1910 (2022). Reviewer: John D. Dixon (Ottawa) MSC: 15A18 15A22 65F15 PDFBibTeX XMLCite \textit{L. Dieci} et al., Numer. Algorithms 91, No. 4, 1879--1910 (2022; Zbl 1504.15022) Full Text: DOI arXiv
Chacha, Chacha S. On solution and perturbation estimates for the nonlinear matrix equation \(X-A^*e^XA=I\). (English) Zbl 1505.65177 J. Egypt. Math. Soc. 30, Paper No. 18, 18 p. (2022). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{C. S. Chacha}, J. Egypt. Math. Soc. 30, Paper No. 18, 18 p. (2022; Zbl 1505.65177) Full Text: DOI
Cardoso, Jo ao R.; Sadeghi, Amir A technique for improving the computation of functions of triangular matrices. (English) Zbl 1513.15013 Int. J. Comput. Math. 99, No. 12, 2449-2465 (2022). MSC: 15A16 15A60 65F60 PDFBibTeX XMLCite \textit{J. a. R. Cardoso} and \textit{A. Sadeghi}, Int. J. Comput. Math. 99, No. 12, 2449--2465 (2022; Zbl 1513.15013) Full Text: DOI arXiv
Pakmanesh, M.; Afshin, Hamidreza \(T_M\)-eigenvalues of odd-order tensors. (English) Zbl 1513.15018 Commun. Appl. Math. Comput. 4, No. 4, 1258-1279 (2022). MSC: 15A18 15A69 15A42 15A20 PDFBibTeX XMLCite \textit{M. Pakmanesh} and \textit{H. Afshin}, Commun. Appl. Math. Comput. 4, No. 4, 1258--1279 (2022; Zbl 1513.15018) Full Text: DOI
Meng, Jie Theoretical and computational properties of semi-infinite quasi-Toeplitz \(M\)-matrices. (English) Zbl 1498.15036 Linear Algebra Appl. 653, 66-85 (2022). Reviewer: Roksana Słowik (Gliwice) MSC: 15B05 15A16 47A08 PDFBibTeX XMLCite \textit{J. Meng}, Linear Algebra Appl. 653, 66--85 (2022; Zbl 1498.15036) Full Text: DOI
Miyajima, Shinya Fast enclosure for the minimal nonnegative solution to the nonsymmetric T-Riccati equation. (English) Zbl 1498.65058 Calcolo 59, No. 3, Paper No. 31, 16 p. (2022). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{S. Miyajima}, Calcolo 59, No. 3, Paper No. 31, 16 p. (2022; Zbl 1498.65058) 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
Bathory, Michal Sharp nonlinear estimates for multiplying derivatives of positive definite tensor fields. (English) Zbl 1495.35007 Math. Inequal. Appl. 25, No. 3, 751-769 (2022). MSC: 35A23 15A69 15A16 76A10 PDFBibTeX XMLCite \textit{M. Bathory}, Math. Inequal. Appl. 25, No. 3, 751--769 (2022; Zbl 1495.35007) Full Text: DOI arXiv
Bentbib, A. H.; Ghomari, M. El; Jbilou, K. An extended-rational Arnoldi method for large matrix exponential evaluations. (English) Zbl 1492.65117 J. Sci. Comput. 91, No. 2, Paper No. 36, 23 p. (2022). MSC: 65F60 65D15 15A16 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., J. Sci. Comput. 91, No. 2, Paper No. 36, 23 p. (2022; Zbl 1492.65117) 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
Teretenkov, A. E. Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels. (English) Zbl 1494.15016 Linear Multilinear Algebra 70, No. 9, 1673-1681 (2022). Reviewer: Kabgyun Jeong (Seoul) MSC: 15A23 15A21 81P45 81P15 81P42 81P47 PDFBibTeX XMLCite \textit{A. E. Teretenkov}, Linear Multilinear Algebra 70, No. 9, 1673--1681 (2022; Zbl 1494.15016) Full Text: DOI arXiv
Shirilord, Akbar; Dehghan, Mehdi Closed-form solution of non-symmetric algebraic Riccati matrix equation. (English) Zbl 1489.15025 Appl. Math. Lett. 131, Article ID 108040, 10 p. (2022). MSC: 15A24 PDFBibTeX XMLCite \textit{A. Shirilord} and \textit{M. Dehghan}, Appl. Math. Lett. 131, Article ID 108040, 10 p. (2022; Zbl 1489.15025) Full Text: DOI
Benzi, Michele; Rinelli, Michele Refined decay bounds on the entries of spectral projectors associated with sparse Hermitian matrices. (English) Zbl 1487.65187 Linear Algebra Appl. 647, 1-30 (2022). MSC: 65N35 05C92 05C50 15A16 15A18 65F50 92E10 PDFBibTeX XMLCite \textit{M. Benzi} and \textit{M. Rinelli}, Linear Algebra Appl. 647, 1--30 (2022; Zbl 1487.65187) Full Text: DOI arXiv
Miyajima, Shinya Verified computation of matrix gamma function. (English) Zbl 1497.65082 Linear Multilinear Algebra 70, No. 7, 1207-1229 (2022). MSC: 65F60 65G20 15A16 PDFBibTeX XMLCite \textit{S. Miyajima}, Linear Multilinear Algebra 70, No. 7, 1207--1229 (2022; Zbl 1497.65082) 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
Estrada, Ernesto The many facets of the Estrada indices of graphs and networks. (English) Zbl 1484.05046 S\(\vec{\text{e}}\)MA J. 79, No. 1, 57-125 (2022). MSC: 05C09 05C12 05C22 05C35 05C50 05C80 05C82 05C92 15A16 15A42 PDFBibTeX XMLCite \textit{E. Estrada}, S\(\vec{\text{e}}\)MA J. 79, No. 1, 57--125 (2022; Zbl 1484.05046) Full Text: DOI
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
Stojanović, Katarina S.; Mosić, Dijana Weighted MPCEP inverse of an operator between Hilbert spaces. (English) Zbl 07499352 Bull. Iran. Math. Soc. 48, No. 1, 53-71 (2022). Reviewer: Mohammed Karmouni (Safi) MSC: 47A62 47A05 15A09 PDFBibTeX XMLCite \textit{K. S. Stojanović} and \textit{D. Mosić}, Bull. Iran. Math. Soc. 48, No. 1, 53--71 (2022; Zbl 07499352) 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
Hao, Pengwei; Zhang, Chao; Hao, Huahan Zero-sum triangles for involutory, idempotent, nilpotent and unipotent matrices. (English) Zbl 1491.15034 Results Appl. Math. 13, Article ID 100238, 14 p. (2022). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15B36 05A19 11Y55 11C20 PDFBibTeX XMLCite \textit{P. Hao} et al., Results Appl. Math. 13, Article ID 100238, 14 p. (2022; Zbl 1491.15034) Full Text: DOI arXiv
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
Dinčić, Nebojša Č.; Djordjević, Bogdan D. On the intrinsic structure of the solution set to the Yang-Baxter-like matrix equation. (English) Zbl 1487.15016 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 73, 24 p. (2022). Reviewer: Igor Korepanov (Moskva) MSC: 15A24 47H10 15A09 15A10 15A16 16T25 PDFBibTeX XMLCite \textit{N. Č. Dinčić} and \textit{B. D. Djordjević}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 73, 24 p. (2022; Zbl 1487.15016) Full Text: DOI
Farooq, Asma; Maset, Stefano How perturbations in the matrix of linear systems of ordinary differential equations propagate along solutions. (English) Zbl 1497.34021 J. Comput. Appl. Math. 407, Article ID 114046, 22 p. (2022). MSC: 34A30 34A12 34D10 15A12 34D05 PDFBibTeX XMLCite \textit{A. Farooq} and \textit{S. Maset}, J. Comput. Appl. Math. 407, Article ID 114046, 22 p. (2022; Zbl 1497.34021) Full Text: DOI
Zhao, Di; Ringh, Axel; Qiu, Li; Khong, Sei Zhen Low phase-rank approximation. (English) Zbl 1498.15025 Linear Algebra Appl. 639, 177-204 (2022). Reviewer: Maria Graça (Lisboa) MSC: 15A45 15A60 15B48 65F55 47A58 53C22 PDFBibTeX XMLCite \textit{D. Zhao} et al., Linear Algebra Appl. 639, 177--204 (2022; Zbl 1498.15025) Full Text: DOI arXiv
Chender, Oana-Liliana Computational aspects of the general Rodrigues problem. (English) Zbl 1507.15005 Parasidis, Ioannis. N. (ed.) et al., Mathematical analysis in interdisciplinary research. Cham: Springer. Springer Optim. Appl. 179, 119-133 (2021). MSC: 15A16 22E60 PDFBibTeX XMLCite \textit{O.-L. Chender}, Springer Optim. Appl. 179, 119--133 (2021; Zbl 1507.15005) Full Text: DOI
Neto, Antônio Francisco Extending Putzer’s representation to all analytic matrix functions via omega matrix calculus. (English) Zbl 1496.15005 Electron. J. Differ. Equ. 2021, Paper No. 97, 18 p. (2021). MSC: 15A16 26A33 PDFBibTeX XMLCite \textit{A. F. Neto}, Electron. J. Differ. Equ. 2021, Paper No. 97, 18 p. (2021; Zbl 1496.15005) Full Text: Link
Caratelli, Diego; Palini, Ernesto; Ricci, Paolo Emilio Matrix functions with variable entries via the Dunford-Taylor integral. (English) Zbl 1490.15012 Adv. Stud.: Euro-Tbil. Math. J. 14, No. 4, 1-16 (2021). MSC: 15A16 15A09 47A10 PDFBibTeX XMLCite \textit{D. Caratelli} et al., Adv. Stud.: Euro-Tbil. Math. J. 14, No. 4, 1--16 (2021; Zbl 1490.15012) Full Text: DOI
Huang, Xiaojie; Liu, Zhixiu; Wu, Chun Derivative and higher-order Cauchy integral formula of matrix functions. (English) Zbl 1489.15016 Open Math. 19, 1771-1778 (2021). MSC: 15A16 15A15 PDFBibTeX XMLCite \textit{X. Huang} et al., Open Math. 19, 1771--1778 (2021; Zbl 1489.15016) Full Text: DOI
Son, Nguyen Thanh; Absil, P.-A.; Gao, Bin; Stykel, Tatjana Computing symplectic eigenpairs of symmetric positive-definite matrices via trace minimization and Riemannian optimization. (English) Zbl 1480.15011 SIAM J. Matrix Anal. Appl. 42, No. 4, 1732-1757 (2021). MSC: 15A15 15A18 49Q99 PDFBibTeX XMLCite \textit{N. T. Son} et al., SIAM J. Matrix Anal. Appl. 42, No. 4, 1732--1757 (2021; Zbl 1480.15011) Full Text: DOI arXiv
Wu, Feng; Zhang, Kailing; Zhu, Li; Hu, Jiayao High-performance computation of the exponential of a large sparse matrix. (English) Zbl 1480.65104 SIAM J. Matrix Anal. Appl. 42, No. 4, 1636-1655 (2021). MSC: 65F60 65F50 15A16 15A60 05C82 PDFBibTeX XMLCite \textit{F. Wu} et al., SIAM J. Matrix Anal. Appl. 42, No. 4, 1636--1655 (2021; Zbl 1480.65104) Full Text: DOI arXiv
Bedrani, Yassine; Kittaneh, Fuad; Sababheh, Mohammad From positive to accretive matrices. (English) Zbl 1480.15021 Positivity 25, No. 4, 1601-1629 (2021). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A45 15A42 15A60 47A63 47A64 PDFBibTeX XMLCite \textit{Y. Bedrani} et al., Positivity 25, No. 4, 1601--1629 (2021; Zbl 1480.15021) Full Text: DOI arXiv
Miao, Yun; Qi, Liqun; Wei, Yimin T-Jordan canonical form and T-Drazin inverse based on the T-product. (English) Zbl 1476.15045 Commun. Appl. Math. Comput. 3, No. 2, 201-220 (2021). MSC: 15A69 15A21 15A09 65F10 PDFBibTeX XMLCite \textit{Y. Miao} et al., Commun. Appl. Math. Comput. 3, No. 2, 201--220 (2021; Zbl 1476.15045) Full Text: DOI arXiv
Li, Xia; Wang, Yong; Huang, Zheng-Hai Continuity, differentiability and semismoothness of generalized tensor functions. (English) Zbl 1476.15044 J. Ind. Manag. Optim. 17, No. 6, 3525-3550 (2021). MSC: 15A69 49J50 49J52 PDFBibTeX XMLCite \textit{X. Li} et al., J. Ind. Manag. Optim. 17, No. 6, 3525--3550 (2021; Zbl 1476.15044) Full Text: DOI
Botchev, Mike A.; Knizhnerman, Leonid; Tyrtyshnikov, Eugene E. Residual and restarting in Krylov subspace evaluation of the \(\varphi\) function. (English) Zbl 1491.65032 SIAM J. Sci. Comput. 43, No. 6, A3733-A3759 (2021). MSC: 65F60 15A16 65L05 PDFBibTeX XMLCite \textit{M. A. Botchev} et al., SIAM J. Sci. Comput. 43, No. 6, A3733--A3759 (2021; Zbl 1491.65032) Full Text: DOI arXiv
Stanimirović, Predrag S.; Katsikis, Vasilios N.; Jin, Long; Mosić, Dijana Properties and computation of continuous-time solutions to linear systems. (English) Zbl 1510.65062 Appl. Math. Comput. 405, Article ID 126242, 16 p. (2021). MSC: 65F10 15A06 15A09 65F45 68Q06 PDFBibTeX XMLCite \textit{P. S. Stanimirović} et al., Appl. Math. Comput. 405, Article ID 126242, 16 p. (2021; Zbl 1510.65062) Full Text: DOI
Lu, Di; Guo, Chun-Hua Explicit \(p\)-dependent convergence regions of Newton’s method for the matrix \(p\)th root. (English) Zbl 1503.65094 Appl. Math. Lett. 122, Article ID 107566, 6 p. (2021). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{D. Lu} and \textit{C.-H. Guo}, Appl. Math. Lett. 122, Article ID 107566, 6 p. (2021; Zbl 1503.65094) Full Text: DOI
Hallman, Eric Faster stochastic trace estimation with a Chebyshev product identity. (English) Zbl 1503.65093 Appl. Math. Lett. 120, Article ID 107246, 5 p. (2021). MSC: 65F60 15A15 PDFBibTeX XMLCite \textit{E. Hallman}, Appl. Math. Lett. 120, Article ID 107246, 5 p. (2021; Zbl 1503.65093) Full Text: DOI arXiv
Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions. (English) Zbl 07398755 SIAM J. Matrix Anal. Appl. 42, No. 3, 1290-1318 (2021). MSC: 65F50 65F60 05C12 05C15 15A16 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 42, No. 3, 1290--1318 (2021; Zbl 07398755) Full Text: DOI arXiv
Noferini, Vanni; Williams, Gerald Matrices in companion rings, Smith forms, and the homology of 3-dimensional Brieskorn manifolds. (English) Zbl 1490.16066 J. Algebra 587, 1-19 (2021). Reviewer: John D. Dixon (Ottawa) MSC: 16S50 15A21 15B36 15A15 15B33 11C20 57M50 PDFBibTeX XMLCite \textit{V. Noferini} and \textit{G. Williams}, J. Algebra 587, 1--19 (2021; Zbl 1490.16066) Full Text: DOI arXiv
Botchev, M. A. An accurate restarting for shift-and-invert Krylov subspaces computing matrix exponential actions of nonsymmetric matrices. (English. Russian original) Zbl 1469.65087 Comput. Math. Math. Phys. 61, No. 5, 684-698 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 706-722 (2021). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{M. A. Botchev}, Comput. Math. Math. Phys. 61, No. 5, 684--698 (2021; Zbl 1469.65087); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 706--722 (2021) Full Text: DOI arXiv
Merlini, Donatella On the square root of a Bell matrix. (English) Zbl 1467.05015 Result. Math. 76, No. 1, Paper No. 46, 19 p. (2021). MSC: 05A15 05A19 05B20 15A16 PDFBibTeX XMLCite \textit{D. Merlini}, Result. Math. 76, No. 1, Paper No. 46, 19 p. (2021; Zbl 1467.05015) Full Text: DOI
Al-Mohy, Awad H.; Arslan, Bahar The complex step approximation to the higher order Fréchet derivatives of a matrix function. (English) Zbl 1469.65085 Numer. Algorithms 87, No. 3, 1061-1074 (2021). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{A. H. Al-Mohy} and \textit{B. Arslan}, Numer. Algorithms 87, No. 3, 1061--1074 (2021; Zbl 1469.65085) Full Text: DOI
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
Beckermann, Bernhard; Cortinovis, Alice; Kressner, Daniel; Schweitzer, Marcel Low-rank updates of matrix functions. II: Rational Krylov methods. (English) Zbl 1469.65086 SIAM J. Numer. Anal. 59, No. 3, 1325-1347 (2021). MSC: 65F60 15A16 65F99 PDFBibTeX XMLCite \textit{B. Beckermann} et al., SIAM J. Numer. Anal. 59, No. 3, 1325--1347 (2021; Zbl 1469.65086) Full Text: DOI arXiv
Miyajima, Shinya Computing enclosures for the matrix Mittag-Leffler function. (English) Zbl 1470.65080 J. Sci. Comput. 87, No. 2, Paper No. 62, 22 p. (2021). MSC: 65F60 15A16 65G20 26A33 33E12 33F05 PDFBibTeX XMLCite \textit{S. Miyajima}, J. Sci. Comput. 87, No. 2, Paper No. 62, 22 p. (2021; Zbl 1470.65080) Full Text: DOI
Chen, Hao; Sun, Hai-Wei A dimensional splitting exponential time differencing scheme for multidimensional fractional Allen-Cahn equations. (English) Zbl 1466.65099 J. Sci. Comput. 87, No. 1, Paper No. 30, 25 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65N06 65F10 65F15 65L05 65F60 65M15 15B05 35Q53 35R11 PDFBibTeX XMLCite \textit{H. Chen} and \textit{H.-W. Sun}, J. Sci. Comput. 87, No. 1, Paper No. 30, 25 p. (2021; Zbl 1466.65099) 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
Lorin, Emmanuel; Tian, Simon A numerical study of fractional linear algebraic systems. (English) Zbl 1524.65198 Math. Comput. Simul. 182, 495-513 (2021). MSC: 65F60 15A06 15A16 PDFBibTeX XMLCite \textit{E. Lorin} and \textit{S. Tian}, Math. Comput. Simul. 182, 495--513 (2021; Zbl 1524.65198) Full Text: DOI
Wu, Gang; Li, Fei A randomized exponential canonical correlation analysis method for data analysis and dimensionality reduction. (English) Zbl 1478.62148 Appl. Numer. Math. 164, 101-124 (2021). MSC: 62H20 62R07 15A18 PDFBibTeX XMLCite \textit{G. Wu} and \textit{F. Li}, Appl. Numer. Math. 164, 101--124 (2021; Zbl 1478.62148) Full Text: DOI
Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M.; Theron, F.; van Straaten, M. \(m\) th roots of \(H\)-selfadjoint matrices. (English) Zbl 1460.15015 Linear Algebra Appl. 610, 804-826 (2021). Reviewer: Tin Yau Tam (Reno) MSC: 15A21 15A20 15A16 15A63 15B57 PDFBibTeX XMLCite \textit{G. J. Groenewald} et al., Linear Algebra Appl. 610, 804--826 (2021; Zbl 1460.15015) Full Text: DOI arXiv
Al Mugahwi, Mohammed; De la Cruz Cabrera, Omar; Noschese, Silvia; Reichel, Lothar Functions and eigenvectors of partially known matrices with applications to network analysis. (English) Zbl 1459.65046 Appl. Numer. Math. 159, 93-105 (2021). MSC: 65F15 15A18 15A16 65F55 PDFBibTeX XMLCite \textit{M. Al Mugahwi} et al., Appl. Numer. Math. 159, 93--105 (2021; Zbl 1459.65046) Full Text: DOI arXiv
Skripka, Anna MSE bounds for estimators of matrix functions. (English) Zbl 1457.15020 Linear Algebra Appl. 609, 231-252 (2021). MSC: 15A45 15A16 62H12 60B20 15A60 PDFBibTeX XMLCite \textit{A. Skripka}, Linear Algebra Appl. 609, 231--252 (2021; Zbl 1457.15020) Full Text: DOI
Yang, Junjian; Lu, Linzhang Weighted geometric mean of two accretive matrices. (English) Zbl 1502.15014 Ann. Funct. Anal. 12, No. 1, Paper No. 19, 9 p. (2021). MSC: 15A45 15A60 PDFBibTeX XMLCite \textit{J. Yang} and \textit{L. Lu}, Ann. Funct. Anal. 12, No. 1, Paper No. 19, 9 p. (2021; Zbl 1502.15014) Full Text: DOI
Jagels, Carl; Jbilou, Khalide; Reichel, Lothar The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation. (English) Zbl 1485.65053 J. Comput. Appl. Math. 381, Article ID 113027, 16 p. (2021). MSC: 65F99 15A15 65D32 65F15 65F60 PDFBibTeX XMLCite \textit{C. Jagels} et al., J. Comput. Appl. Math. 381, Article ID 113027, 16 p. (2021; Zbl 1485.65053) Full Text: DOI
Gyamfi, Jerryman A. Fundamentals of quantum mechanics in Liouville space. (English) Zbl 07684299 Eur. J. Phys. 41, No. 6, Article ID 063002, 60 p. (2020). MSC: 81-XX 15-XX PDFBibTeX XMLCite \textit{J. A. Gyamfi}, Eur. J. Phys. 41, No. 6, Article ID 063002, 60 p. (2020; Zbl 07684299) Full Text: DOI arXiv
Al Mugahwi, Mohammed; De la Cruz Cabrera, Omar; Reichel, Lothar Orthogonal expansion of network functions. (English) Zbl 1462.05330 Vietnam J. Math. 48, No. 4, 941-962 (2020). MSC: 05C82 15A16 65F60 42C05 PDFBibTeX XMLCite \textit{M. Al Mugahwi} et al., Vietnam J. Math. 48, No. 4, 941--962 (2020; Zbl 1462.05330) Full Text: DOI
Belyayev, Yuriy N. Method for calculating multiwave scattering by layered anisotropic media. (English) Zbl 1524.74464 Wave Motion 99, Article ID 102664, 21 p. (2020). MSC: 74S99 65F60 15A16 74J20 78A45 PDFBibTeX XMLCite \textit{Y. N. Belyayev}, Wave Motion 99, Article ID 102664, 21 p. (2020; Zbl 1524.74464) 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
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
Loring, Terry A.; Vides, Fredy Computing Floquet Hamiltonians with symmetries. (English) Zbl 1455.65070 J. Math. Phys. 61, No. 11, 113501, 23 p. (2020). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{T. A. Loring} and \textit{F. Vides}, J. Math. Phys. 61, No. 11, 113501, 23 p. (2020; Zbl 1455.65070) Full Text: DOI arXiv
Masoudi, Mohsen; Salemi, Abbas Perturbation bounds for matrix functions. (English) Zbl 07284505 Math. Inequal. Appl. 23, No. 3, 1105-1115 (2020). MSC: 47H14 47A56 15A60 15B57 PDFBibTeX XMLCite \textit{M. Masoudi} and \textit{A. Salemi}, Math. Inequal. Appl. 23, No. 3, 1105--1115 (2020; Zbl 07284505) Full Text: DOI
Zimmermann, Ralf Hermite interpolation and data processing errors on Riemannian matrix manifolds. (English) Zbl 1452.65085 SIAM J. Sci. Comput. 42, No. 5, A2593-A2619 (2020). MSC: 65F60 15A16 41A05 53-08 PDFBibTeX XMLCite \textit{R. Zimmermann}, SIAM J. Sci. Comput. 42, No. 5, A2593--A2619 (2020; Zbl 1452.65085) Full Text: DOI arXiv
Bentbib, A. H.; El Ghomari, M.; Jbilou, K. Extended nonsymmetric global Lanczos method for matrix function approximation. (English) Zbl 1451.65057 Numer. Algorithms 84, No. 4, 1459-1479 (2020). MSC: 65F60 15A16 15A63 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., Numer. Algorithms 84, No. 4, 1459--1479 (2020; Zbl 1451.65057) Full Text: DOI
Espig, Mike; Hackbusch, Wolfgang; Litvinenko, Alexander; Matthies, Hermann G.; Zander, Elmar Iterative algorithms for the post-processing of high-dimensional data. (English) Zbl 1436.65054 J. Comput. Phys. 410, Article ID 109396, 22 p. (2020). MSC: 65F55 65N06 15A69 PDFBibTeX XMLCite \textit{M. Espig} et al., J. Comput. Phys. 410, Article ID 109396, 22 p. (2020; Zbl 1436.65054) Full Text: DOI arXiv
Abderramán Marrero, J.; Aiat Hadj, D. A. Improving formulas for the eigenvalues of finite block-Toeplitz tridiagonal matrices. (English) Zbl 1508.15018 Appl. Math. Comput. 382, Article ID 125324, 10 p. (2020). MSC: 15B05 15A18 PDFBibTeX XMLCite \textit{J. Abderramán Marrero} and \textit{D. A. Aiat Hadj}, Appl. Math. Comput. 382, Article ID 125324, 10 p. (2020; Zbl 1508.15018) Full Text: DOI
Bishop, Adrian N.; Del Moral, Pierre; Niclas, Angèle A perturbation analysis of stochastic matrix Riccati diffusions. (English. French summary) Zbl 1434.60020 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 884-916 (2020). MSC: 60B20 15B52 62M20 60G35 PDFBibTeX XMLCite \textit{A. N. Bishop} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 884--916 (2020; Zbl 1434.60020) Full Text: DOI arXiv Euclid
Tatsuoka, Fuminori; Sogabe, Tomohiro; Miyatake, Yuto; Zhang, Shao-Liang Algorithms for the computation of the matrix logarithm based on the double exponential formula. (English) Zbl 1437.65036 J. Comput. Appl. Math. 373, Article ID 112396, 11 p. (2020). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{F. Tatsuoka} et al., J. Comput. Appl. Math. 373, Article ID 112396, 11 p. (2020; Zbl 1437.65036) Full Text: DOI arXiv
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
Miao, Yun; Qi, Liqun; Wei, Yimin Generalized tensor function via the tensor singular value decomposition based on the T-product. (English) Zbl 1437.15034 Linear Algebra Appl. 590, 258-303 (2020). MSC: 15A69 15A09 PDFBibTeX XMLCite \textit{Y. Miao} et al., Linear Algebra Appl. 590, 258--303 (2020; Zbl 1437.15034) Full Text: DOI arXiv
Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case. (English) Zbl 1434.65033 ETNA, Electron. Trans. Numer. Anal. 53, 113-216 (2020). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65F15 15B05 65N06 65N30 65N25 PDFBibTeX XMLCite \textit{G. Barbarino} et al., ETNA, Electron. Trans. Numer. Anal. 53, 113--216 (2020; Zbl 1434.65033) Full Text: DOI Link