Dongarra, Jack; Grigori, Laura; Higham, Nicholas J. Numerical algorithms for high-performance computational science. (English) Zbl 1462.65231 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2166, Article ID 20190066, 18 p. (2020). MSC: 65Y10 PDFBibTeX XMLCite \textit{J. Dongarra} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2166, Article ID 20190066, 18 p. (2020; Zbl 1462.65231) Full Text: DOI Link
Higham, Nicholas J.; Pranesh, Srikara; Zounon, Mawussi Squeezing a matrix into half precision, with an application to solving Linear systems. (English) Zbl 1420.65017 SIAM J. Sci. Comput. 41, No. 4, A2536-A2551 (2019). MSC: 65F05 65F08 65F35 65F10 PDFBibTeX XMLCite \textit{N. J. Higham} et al., SIAM J. Sci. Comput. 41, No. 4, A2536--A2551 (2019; Zbl 1420.65017) Full Text: DOI
Carson, Erin; Higham, Nicholas J. Accelerating the solution of linear systems by iterative refinement in three precisions. (English) Zbl 1453.65067 SIAM J. Sci. Comput. 40, No. 2, A817-A847 (2018). MSC: 65F10 65F05 65F35 65G50 PDFBibTeX XMLCite \textit{E. Carson} and \textit{N. J. Higham}, SIAM J. Sci. Comput. 40, No. 2, A817--A847 (2018; Zbl 1453.65067) Full Text: DOI
Higham, Nicholas J.; Relton, Samuel D. Estimating the largest elements of a matrix. (English) Zbl 1352.65132 SIAM J. Sci. Comput. 38, No. 5, C584-C601 (2016). MSC: 65F35 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{S. D. Relton}, SIAM J. Sci. Comput. 38, No. 5, C584--C601 (2016; Zbl 1352.65132) Full Text: DOI
Al-Mohy, Awad H.; Higham, Nicholas J.; Relton, Samuel D. New algorithms for computing the matrix sine and cosine separately or simultaneously. (English) Zbl 1315.65045 SIAM J. Sci. Comput. 37, No. 1, A456-A487 (2015). MSC: 65F60 PDFBibTeX XMLCite \textit{A. H. Al-Mohy} et al., SIAM J. Sci. Comput. 37, No. 1, A456--A487 (2015; Zbl 1315.65045) Full Text: DOI Link
Higham, Nicholas J.; Tisseur, Françoise Bounds for eigenvalues of matrix polynomials. (English) Zbl 1055.15030 Linear Algebra Appl. 358, No. 1-3, 5-22 (2003). Reviewer: Jane M. Day (San José) MSC: 15A42 15A54 65F15 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{F. Tisseur}, Linear Algebra Appl. 358, No. 1--3, 5--22 (2003; Zbl 1055.15030) Full Text: DOI
Higham, Nicholas J.; Tisseur, Françoise More on pseudospectra for polynomial eigenvalue problems and applications in control theory. (English) Zbl 1004.65046 Linear Algebra Appl. 351-352, 435-453 (2002). Reviewer: Miloslav Znojil (Řež) MSC: 65F15 15A22 93B60 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{F. Tisseur}, Linear Algebra Appl. 351--352, 435--453 (2002; Zbl 1004.65046) Full Text: DOI
Higham, Nicholas J. QR factorization with complete pivoting and accurate computation of the SVD. (English) Zbl 0953.65025 Linear Algebra Appl. 309, No. 1-3, 153-174 (2000). Reviewer: F.Szidarovszky (Tucson) MSC: 65F20 65F15 PDFBibTeX XMLCite \textit{N. J. Higham}, Linear Algebra Appl. 309, No. 1--3, 153--174 (2000; Zbl 0953.65025) Full Text: DOI
Higham, Nicholas J. Stability of block LDL\(^T\) factorization of a symmetric tridiagonal matrix. (English) Zbl 0941.65030 Linear Algebra Appl. 287, No. 1-3, 181-189 (1999). Reviewer: D.Braess (Bochum) MSC: 65F05 65F50 PDFBibTeX XMLCite \textit{N. J. Higham}, Linear Algebra Appl. 287, No. 1--3, 181--189 (1999; Zbl 0941.65030) Full Text: DOI