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
Mitchell, Tim Convergence rate analysis and improved iterations for numerical radius computation. (English) Zbl 1512.65063 SIAM J. Sci. Comput. 45, No. 2, A753-A780 (2023). MSC: 65F15 47A12 15A60 65Y20 PDFBibTeX XMLCite \textit{T. Mitchell}, SIAM J. Sci. Comput. 45, No. 2, A753--A780 (2023; Zbl 1512.65063) Full Text: DOI arXiv
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
Davis, Anna; Zachlin, Paul On the eigenvalues of matrices with common Gershgorin regions. (English) Zbl 1487.15010 Electron. J. Linear Algebra 38, 227-253 (2022). MSC: 15A18 PDFBibTeX XMLCite \textit{A. Davis} and \textit{P. Zachlin}, Electron. J. Linear Algebra 38, 227--253 (2022; Zbl 1487.15010) Full Text: Link
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
Mitchell, Tim Computing the Kreiss constant of a matrix. (English) Zbl 1464.65044 SIAM J. Matrix Anal. Appl. 41, No. 4, 1944-1975 (2020). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{T. Mitchell}, SIAM J. Matrix Anal. Appl. 41, No. 4, 1944--1975 (2020; Zbl 1464.65044) Full Text: DOI arXiv
Sastre, Jorge; Ibáñez, Javier; Alonso-Jordá, Pedro; Peinado, Jesús; Defez, Emilio Fast Taylor polynomial evaluation for the computation of the matrix cosine. (English) Zbl 1434.65059 J. Comput. Appl. Math. 354, 641-650 (2019). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{J. Sastre} et al., J. Comput. Appl. Math. 354, 641--650 (2019; Zbl 1434.65059) Full Text: DOI Link
Noschese, Silvia; Reichel, Lothar Computing unstructured and structured polynomial pseudospectrum approximations. (English) Zbl 1417.65116 J. Comput. Appl. Math. 350, 57-68 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{S. Noschese} and \textit{L. Reichel}, J. Comput. Appl. Math. 350, 57--68 (2019; Zbl 1417.65116) Full Text: DOI arXiv
Defez, Emilio; Ibáñez, Javier; Peinado, Jesús; Sastre, Jorge; Alonso-Jordá, Pedro An efficient and accurate algorithm for computing the matrix cosine based on new Hermite approximations. (English) Zbl 1458.65048 J. Comput. Appl. Math. 348, 1-13 (2019). MSC: 65F60 15A16 65Y05 PDFBibTeX XMLCite \textit{E. Defez} et al., J. Comput. Appl. Math. 348, 1--13 (2019; Zbl 1458.65048) Full Text: DOI Link
Rehman, Mutti-Ur; Anwar, M. Fazeel Computing \(\mu\)-values for representations of symmetric groups in engineering systems. (English) Zbl 1413.49046 Eur. J. Pure Appl. Math. 11, No. 3, 774-792 (2018). MSC: 49N25 15A18 20C30 PDFBibTeX XMLCite \textit{M.-U. Rehman} and \textit{M. F. Anwar}, Eur. J. Pure Appl. Math. 11, No. 3, 774--792 (2018; Zbl 1413.49046) Full Text: Link
Armentia, Gorka; Gracia, Juan-Miguel; Velasco, Francisco-Enrique Perforated strict pseudospectra of Demmel’s matrices. (English) Zbl 1390.15025 Linear Algebra Appl. 548, 77-94 (2018). MSC: 15A18 15A60 65F15 PDFBibTeX XMLCite \textit{G. Armentia} et al., Linear Algebra Appl. 548, 77--94 (2018; Zbl 1390.15025) Full Text: DOI
Sastre, Jorge; Ibáñez, Javier; Alonso, Pedro; Peinado, Jesús; Defez, Emilio Two algorithms for computing the matrix cosine function. (English) Zbl 1426.65059 Appl. Math. Comput. 312, 66-77 (2017). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{J. Sastre} et al., Appl. Math. Comput. 312, 66--77 (2017; Zbl 1426.65059) Full Text: DOI Link
Embree, Mark; Keeler, Blake Pseudospectra of matrix pencils for transient analysis of differential-algebraic equations. (English) Zbl 1379.65058 SIAM J. Matrix Anal. Appl. 38, No. 3, 1028-1054 (2017). MSC: 65L80 65L20 34A09 15A22 65F15 PDFBibTeX XMLCite \textit{M. Embree} and \textit{B. Keeler}, SIAM J. Matrix Anal. Appl. 38, No. 3, 1028--1054 (2017; Zbl 1379.65058) Full Text: DOI arXiv
Che, Maolin; Li, Guoyin; Qi, Liqun; Wei, Yimin Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems. (English) Zbl 1371.15010 Linear Algebra Appl. 533, 536-572 (2017). MSC: 15A18 15A69 65F15 65F10 PDFBibTeX XMLCite \textit{M. Che} et al., Linear Algebra Appl. 533, 536--572 (2017; Zbl 1371.15010) Full Text: DOI
Lu, Ding; Vandereycken, Bart Criss-cross type algorithms for computing the real pseudospectral abscissa. (English) Zbl 1373.65024 SIAM J. Matrix Anal. Appl. 38, No. 3, 891-923 (2017). MSC: 65F15 15A60 PDFBibTeX XMLCite \textit{D. Lu} and \textit{B. Vandereycken}, SIAM J. Matrix Anal. Appl. 38, No. 3, 891--923 (2017; Zbl 1373.65024) Full Text: DOI
Alonso, Pedro; Ibáñez, Javier; Sastre, Jorge; Peinado, Jesús; Defez, Emilio Efficient and accurate algorithms for computing matrix trigonometric functions. (English) Zbl 1416.65126 J. Comput. Appl. Math. 309, 325-332 (2017). MSC: 65F60 15A16 65Y05 PDFBibTeX XMLCite \textit{P. Alonso} et al., J. Comput. Appl. Math. 309, 325--332 (2017; Zbl 1416.65126) Full Text: DOI
Aprahamian, Mary; Higham, Nicholas J. Matrix inverse trigonometric and inverse hyperbolic functions: theory and algorithms. (English) Zbl 1388.15012 SIAM J. Matrix Anal. Appl. 37, No. 4, 1453-1477 (2016). MSC: 15A24 65F30 65F60 PDFBibTeX XMLCite \textit{M. Aprahamian} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1453--1477 (2016; Zbl 1388.15012) Full Text: DOI
Guglielmi, Nicola; Manetta, Manuela An iterative method for computing robustness of polynomial stability. (English) Zbl 1327.15013 J. Comput. Appl. Math. 292, 638-653 (2016). MSC: 15A18 65K05 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. Manetta}, J. Comput. Appl. Math. 292, 638--653 (2016; Zbl 1327.15013) Full Text: DOI
Rostami, Minghao W. New algorithms for computing the real structured pseudospectral abscissa and the real stability radius of large and sparse matrices. (English) Zbl 1325.65067 SIAM J. Sci. Comput. 37, No. 5, S447-S471 (2015). MSC: 65F50 65F15 15A18 15A24 PDFBibTeX XMLCite \textit{M. W. Rostami}, SIAM J. Sci. Comput. 37, No. 5, S447--S471 (2015; Zbl 1325.65067) Full Text: DOI Link
Buttà, P.; Guglielmi, N.; Manetta, M.; Noschese, S. Differential equations for real-structured defectivity measures. (English) Zbl 1320.65053 SIAM J. Matrix Anal. Appl. 36, No. 2, 523-548 (2015). MSC: 65F15 15A18 65K05 PDFBibTeX XMLCite \textit{P. Buttà} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 523--548 (2015; Zbl 1320.65053) Full Text: DOI arXiv Link
Kostić, Vladimir R.; Miȩdlar, Agnieszka; Stolwijk, Jeroen J. On matrix nearness problems: distance to delocalization. (English) Zbl 1328.65090 SIAM J. Matrix Anal. Appl. 36, No. 2, 435-460 (2015). MSC: 65F15 15A18 15A22 PDFBibTeX XMLCite \textit{V. R. Kostić} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 435--460 (2015; Zbl 1328.65090) Full Text: DOI Link
Guglielmi, Nicola; Kressner, Daniel; Lubich, Christian Low rank differential equations for Hamiltonian matrix nearness problems. (English) Zbl 1312.65070 Numer. Math. 129, No. 2, 279-319 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A18 93B36 93B40 49N35 65F15 93B52 93C05 65K10 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., Numer. Math. 129, No. 2, 279--319 (2015; Zbl 1312.65070) Full Text: DOI
Janovská, Drahoslava; Janovský, Vladimír; Tanabe, Kunio A note on computation of pseudospectra. (English) Zbl 1255.65078 Math. Comput. Simul. 82, No. 10, 1732-1743 (2012). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{D. Janovská} et al., Math. Comput. Simul. 82, No. 10, 1732--1743 (2012; Zbl 1255.65078) Full Text: DOI
Sidje, Roger B. On the simultaneous tridiagonalization of two symmetric matrices. (English) Zbl 1221.65107 Numer. Math. 118, No. 3, 549-566 (2011). MSC: 65F30 15A22 PDFBibTeX XMLCite \textit{R. B. Sidje}, Numer. Math. 118, No. 3, 549--566 (2011; Zbl 1221.65107) Full Text: DOI
Sastre, J.; Ibáñez, J.; Defez, E.; Ruiz, P. Efficient orthogonal matrix polynomial based method for computing matrix exponential. (English) Zbl 1211.65052 Appl. Math. Comput. 217, No. 14, 6451-6463 (2011). MSC: 65F30 15A16 34A30 65L05 PDFBibTeX XMLCite \textit{J. Sastre} et al., Appl. Math. Comput. 217, No. 14, 6451--6463 (2011; Zbl 1211.65052) Full Text: DOI Link
Al-Mohy, Awad H.; Higham, Nicholas J. A new scaling and squaring algorithm for the matrix exponential. (English) Zbl 1194.15021 SIAM J. Matrix Anal. Appl. 31(2009), No. 3, 970-989 (2010). MSC: 15A60 65F30 PDFBibTeX XMLCite \textit{A. H. Al-Mohy} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 31, No. 3, 970--989 (2010; Zbl 1194.15021) Full Text: DOI
Karow, Michael; Kokiopoulou, Effrosyni; Kressner, Daniel On the computation of structured singular values and pseudospectra. (English) Zbl 1186.93032 Syst. Control Lett. 59, No. 2, 122-129 (2010). MSC: 93B60 15A18 93C05 PDFBibTeX XMLCite \textit{M. Karow} et al., Syst. Control Lett. 59, No. 2, 122--129 (2010; Zbl 1186.93032) Full Text: DOI Link
Mehrmann, Volker; Xu, Hongguo Perturbation of purely imaginary eigenvalues of Hamiltonian matrices under structured perturbations. (English) Zbl 1161.15005 Electron. J. Linear Algebra 17, 234-257 (2008). Reviewer: Edgar Pereira (Covilha) MSC: 15A18 15B57 93B35 93C05 PDFBibTeX XMLCite \textit{V. Mehrmann} and \textit{H. Xu}, Electron. J. Linear Algebra 17, 234--257 (2008; Zbl 1161.15005) Full Text: DOI EuDML Link