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
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
Sastre, J.; Ibáñez, J.; Defez, E. Boosting the computation of the matrix exponential. (English) Zbl 1429.65093 Appl. Math. Comput. 340, 206-220 (2019). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{J. Sastre} et al., Appl. Math. Comput. 340, 206--220 (2019; Zbl 1429.65093) Full Text: DOI
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
Diao, Huai-An Condition numbers for a linear function of the solution of the linear least squares problem with equality constraints. (English) Zbl 1397.65063 J. Comput. Appl. Math. 344, 640-656 (2018). MSC: 65F35 15A09 15A12 PDFBibTeX XMLCite \textit{H.-A. Diao}, J. Comput. Appl. Math. 344, 640--656 (2018; Zbl 1397.65063) Full Text: DOI arXiv
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
Diao, Huai-An; Wei, Yimin; Qiao, Sanzheng Structured condition numbers of structured Tikhonov regularization problem and their estimations. (English) Zbl 1346.65015 J. Comput. Appl. Math. 308, 276-300 (2016). MSC: 65F20 65F35 15A12 65F08 65F10 65D18 65F22 PDFBibTeX XMLCite \textit{H.-A. Diao} et al., J. Comput. Appl. Math. 308, 276--300 (2016; Zbl 1346.65015) Full Text: DOI arXiv
Weng, Peter Chang-Yi; Phoa, Frederick Kin Hing Small-sample statistical condition estimation of large-scale generalized eigenvalue problems. (English) Zbl 1332.65061 J. Comput. Appl. Math. 298, 24-39 (2016). MSC: 65F35 15A12 65F15 65F50 15A24 62F10 PDFBibTeX XMLCite \textit{P. C. Y. Weng} and \textit{F. K. H. Phoa}, J. Comput. Appl. Math. 298, 24--39 (2016; Zbl 1332.65061) Full Text: DOI
Diao, Huaian; Wang, Weiguo; Wei, Yimin; Qiao, Sanzheng On condition numbers for Moore-Penrose inverse and linear least squares problem involving Kronecker products. (English) Zbl 1289.65118 Numer. Linear Algebra Appl. 20, No. 1, 44-59 (2013). MSC: 65F35 15A69 15A09 65F20 PDFBibTeX XMLCite \textit{H. Diao} et al., Numer. Linear Algebra Appl. 20, No. 1, 44--59 (2013; Zbl 1289.65118) Full Text: DOI
Diao, Huaian; Xiang, Hua; Wei, Yimin Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equations. (English) Zbl 1274.65120 Numer. Linear Algebra Appl. 19, No. 4, 639-654 (2012). Reviewer: Radek Kučera (Ostrava) MSC: 65F30 65F35 15A24 15A12 PDFBibTeX XMLCite \textit{H. Diao} et al., Numer. Linear Algebra Appl. 19, No. 4, 639--654 (2012; Zbl 1274.65120) Full Text: DOI
Brás, Carmo P.; Hager, William W.; Júdice, Joaquim J. An investigation of feasible descent algorithms for estimating the condition number of a matrix. (English) Zbl 1283.15022 Top 20, No. 3, 791-809 (2012). Reviewer: Martin Plešinger (Liberec) MSC: 15A12 65F35 49M37 90C30 PDFBibTeX XMLCite \textit{C. P. Brás} et al., Top 20, No. 3, 791--809 (2012; Zbl 1283.15022) Full Text: DOI
Laub, A. J.; Xia, J. Applications of statistical condition estimation to the solution of linear systems. (English) Zbl 1212.65130 Numer. Linear Algebra Appl. 15, No. 6, 489-513 (2008). Reviewer: J. D. Tebbens (Praha) MSC: 65F10 65F35 15A12 65F05 PDFBibTeX XMLCite \textit{A. J. Laub} and \textit{J. Xia}, Numer. Linear Algebra Appl. 15, No. 6, 489--513 (2008; Zbl 1212.65130) Full Text: DOI
Kågström, Bo; Poromaa, Peter Computing eigenspaces with specified eigenvalues of a regular matrix pair \((A,B)\) and condition estimation: Theory, algorithms and software. (English) Zbl 0859.65036 Numer. Algorithms 12, No. 3-4, 369-407 (1996). Reviewer: V.Burjan (Praha) MSC: 65F15 15A22 65F05 65F35 65Y20 PDFBibTeX XMLCite \textit{B. Kågström} and \textit{P. Poromaa}, Numer. Algorithms 12, No. 3--4, 369--407 (1996; Zbl 0859.65036) Full Text: DOI
Higham, Desmond J. Condition numbers and their condition numbers. (English) Zbl 0816.15004 Linear Algebra Appl. 214, 193-213 (1995). Reviewer: J.Rohn (Praha) MSC: 15A12 PDFBibTeX XMLCite \textit{D. J. Higham}, Linear Algebra Appl. 214, 193--213 (1995; Zbl 0816.15004) Full Text: DOI
Higham, Nicholas J. The matrix sign decomposition and its relation to the polar decomposition. (English) Zbl 0816.15012 Linear Algebra Appl. 212-213, 3-20 (1994). Reviewer: E.Ellers (Toronto) MSC: 15A23 05A15 05A19 65F10 PDFBibTeX XMLCite \textit{N. J. Higham}, Linear Algebra Appl. 212--213, 3--20 (1994; Zbl 0816.15012) Full Text: DOI
Higham, Desmond J.; Higham, Nicholas J. Componentwise perturbation theory for linear systems with multiple right- hand sides. (English) Zbl 0801.65043 Linear Algebra Appl. 174, 111-129 (1992). Reviewer: S.Grzegórski (Lublin) MSC: 65F35 15A12 65G50 PDFBibTeX XMLCite \textit{D. J. Higham} and \textit{N. J. Higham}, Linear Algebra Appl. 174, 111--129 (1992; Zbl 0801.65043) Full Text: DOI
Higham, Nicholas J. Estimating the matrix \(p\)-norm. (English) Zbl 0741.65040 Numer. Math. 62, No. 4, 539-556 (1992). Reviewer: N.J.Higham (Manchester) MSC: 65F35 15A12 PDFBibTeX XMLCite \textit{N. J. Higham}, Numer. Math. 62, No. 4, 539--556 (1992; Zbl 0741.65040) Full Text: DOI EuDML
Bartels, Sven G.; Higham, Desmond J. The structured sensitivity of Vandermonde-like systems. (English) Zbl 0766.65042 Numer. Math. 62, No. 1, 17-33 (1992). Reviewer: M.Jung (Chemnitz) MSC: 65F35 65F20 65F05 15A12 PDFBibTeX XMLCite \textit{S. G. Bartels} and \textit{D. J. Higham}, Numer. Math. 62, No. 1, 17--33 (1992; Zbl 0766.65042) Full Text: DOI EuDML
Higham, Nicholas J. FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimations. (English) Zbl 0665.65043 ACM Trans. Math. Softw. 14, No. 4, 381-396 (1988). MSC: 65F35 15A60 PDFBibTeX XMLCite \textit{N. J. Higham}, ACM Trans. Math. Softw. 14, No. 4, 381--396 (1988; Zbl 0665.65043) Full Text: DOI Link