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
Higham, Nicholas J. The Power of Bidiagonal Matrices. arXiv:2311.06609 Preprint, arXiv:2311.06609 [math.NA] (2023). MSC: 15A06 15A12 15A23 65F35 BibTeX Cite \textit{N. J. Higham}, ``The Power of Bidiagonal Matrices'', Preprint, arXiv:2311.06609 [math.NA] (2023) Full Text: arXiv OA License
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
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
Higham, Nicholas J.; Lettington, Matthew C.; Schmidt, Karl Michael Integer matrix factorisations, superalgebras and the quadratic form obstruction. (English) Zbl 1467.15009 Linear Algebra Appl. 622, 250-267 (2021). Reviewer: Erich W. Ellers (Toronto) MSC: 15A23 15B36 15A30 11H55 05B15 PDFBibTeX XMLCite \textit{N. J. Higham} et al., Linear Algebra Appl. 622, 250--267 (2021; Zbl 1467.15009) 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
Fasi, Massimiliano; Higham, Nicholas J. An arbitrary precision scaling and squaring algorithm for the matrix exponential. (English) Zbl 1437.65033 SIAM J. Matrix Anal. Appl. 40, No. 4, 1233-1256 (2019). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{M. Fasi} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 40, No. 4, 1233--1256 (2019; Zbl 1437.65033) Full Text: DOI
Nadukandi, Prashanth; Higham, Nicholas J. Computing the wave-kernel matrix functions. (English) Zbl 1403.65020 SIAM J. Sci. Comput. 40, No. 6, A4060-A4082 (2018). MSC: 65F30 15A60 65F60 PDFBibTeX XMLCite \textit{P. Nadukandi} and \textit{N. J. Higham}, SIAM J. Sci. Comput. 40, No. 6, A4060--A4082 (2018; Zbl 1403.65020) Full Text: DOI
Fasi, Massimiliano; Higham, Nicholas J. Multiprecision algorithms for computing the matrix logarithm. (English) Zbl 1390.15073 SIAM J. Matrix Anal. Appl. 39, No. 1, 472-491 (2018). MSC: 15A60 65F30 65F60 PDFBibTeX XMLCite \textit{M. Fasi} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 39, No. 1, 472--491 (2018; Zbl 1390.15073) 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
Higham, Nicholas J.; Strabić, Nataša Bounds for the distance to the nearest correlation matrix. (English) Zbl 1347.65075 SIAM J. Matrix Anal. Appl. 37, No. 3, 1088-1102 (2016). MSC: 65F30 62H20 15B48 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{N. Strabić}, SIAM J. Matrix Anal. Appl. 37, No. 3, 1088--1102 (2016; Zbl 1347.65075) Full Text: DOI
Higham, Nicholas J.; Strabić, Nataša; Šego, Vedran Restoring definiteness via shrinking, with an application to correlation matrices with a fixed block. (English) Zbl 1386.15062 SIAM Rev. 58, No. 2, 245-263 (2016). MSC: 15B48 65F30 PDFBibTeX XMLCite \textit{N. J. Higham} et al., SIAM Rev. 58, No. 2, 245--263 (2016; Zbl 1386.15062) Full Text: DOI Link
Higham, Nicholas J.; Lin, Lijing Matrix functions: a short course. (English) Zbl 1332.15021 Bai, Zhaojun (ed.) et al., Matrix functions and matrix equations. Lectures of the 4th Gene Golub summer school, Shanghai, China, July 22 – August 2, 2013. Hackensack, NJ: World Scientific; Beijing: Higher Education Press (ISBN 978-981-4675-76-5/hbk; 978-981-4675-78-9/ebook). Series in Contemporary Applied Mathematics CAM 19, 1-27 (2015). MSC: 15A16 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{L. Lin}, Ser. Contemp. Appl. Math. CAM 19, 1--27 (2015; Zbl 1332.15021) Full Text: DOI
Fasi, Massimiliano; Higham, Nicholas J.; Iannazzo, Bruno An algorithm for the matrix Lambert \(W\) function. (English) Zbl 1317.65116 SIAM J. Matrix Anal. Appl. 36, No. 2, 669-685 (2015). MSC: 65F60 15A16 15A24 65F10 PDFBibTeX XMLCite \textit{M. Fasi} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 669--685 (2015; Zbl 1317.65116) Full Text: DOI
Higham, Nicholas J.; Relton, Samuel D. Higher order Fréchet derivatives of matrix functions and the level-2 condition number. (English) Zbl 1308.65066 SIAM J. Matrix Anal. Appl. 35, No. 3, 1019-1037 (2014). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F60 65F35 15B57 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{S. D. Relton}, SIAM J. Matrix Anal. Appl. 35, No. 3, 1019--1037 (2014; Zbl 1308.65066) Full Text: DOI
Aprahamian, Mary; Higham, Nicholas J. The matrix unwinding function, with an application to computing the matrix exponential. (English) Zbl 1300.65024 SIAM J. Matrix Anal. Appl. 35, No. 1, 88-109 (2014). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65F35 15A24 65F60 PDFBibTeX XMLCite \textit{M. Aprahamian} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 35, No. 1, 88--109 (2014; Zbl 1300.65024) Full Text: DOI Link
Nakatsukasa, Yuji; Higham, Nicholas J. Stable and efficient spectral divide and conquer algorithms for the symmetric eigenvalue decomposition and the SVD. (English) Zbl 1326.65049 SIAM J. Sci. Comput. 35, No. 3, A1325-A1349 (2013). Reviewer: Juri M. Rappoport (Moskva) MSC: 65F15 15A23 65F30 65G50 PDFBibTeX XMLCite \textit{Y. Nakatsukasa} and \textit{N. J. Higham}, SIAM J. Sci. Comput. 35, No. 3, A1325--A1349 (2013; Zbl 1326.65049) Full Text: DOI Link
Al-Mohy, Awad H.; Higham, Nicholas J. Improved inverse scaling and squaring algorithms for the matrix logarithm. (English) Zbl 1252.15027 SIAM J. Sci. Comput. 34, No. 4, C153-C169 (2012). MSC: 15A60 65F30 PDFBibTeX XMLCite \textit{A. H. Al-Mohy} and \textit{N. J. Higham}, SIAM J. Sci. Comput. 34, No. 4, C153--C169 (2012; Zbl 1252.15027) Full Text: DOI Link
Nakatsukasa, Yuji; Higham, Nicholas J. Backward stability of iterations for computing the polar decomposition. (English) Zbl 1252.65083 SIAM J. Matrix Anal. Appl. 33, No. 2, 460-479 (2012). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F30 15A23 65G50 65F10 PDFBibTeX XMLCite \textit{Y. Nakatsukasa} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 33, No. 2, 460--479 (2012; Zbl 1252.65083) Full Text: DOI Link
Higham, Nicholas J.; Lin, Lijing A Schur-Padé algorithm for fractional powers of a matrix. (English) Zbl 1242.65091 SIAM J. Matrix Anal. Appl. 32, No. 3, 1056-1078 (2011). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65F60 15A16 15A24 41A21 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{L. Lin}, SIAM J. Matrix Anal. Appl. 32, No. 3, 1056--1078 (2011; Zbl 1242.65091) Full Text: DOI
Al-Mohy, Awad H.; Higham, Nicholas J. Computing the action of the matrix exponential, with an application to exponential integrators. (English) Zbl 1234.65028 SIAM J. Sci. Comput. 33, No. 2, 488-511 (2011). Reviewer: Frank Uhlig (Auburn) MSC: 65F60 15A16 65G50 65F35 65L05 34A30 PDFBibTeX XMLCite \textit{A. H. Al-Mohy} and \textit{N. J. Higham}, SIAM J. Sci. Comput. 33, No. 2, 488--511 (2011; Zbl 1234.65028) Full Text: DOI Link
Grammont, Laurence; Higham, Nicholas J.; Tisseur, Françoise A framework for analyzing nonlinear eigenproblems and parametrized linear systems. (English) Zbl 1288.65049 Linear Algebra Appl. 435, No. 3, 623-640 (2011). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{L. Grammont} et al., Linear Algebra Appl. 435, No. 3, 623--640 (2011; Zbl 1288.65049) Full Text: DOI Link
Higham, Nicholas J.; Lin, Lijing On \(p\)th roots of stochastic matrices. (English) Zbl 1223.15042 Linear Algebra Appl. 435, No. 3, 448-463 (2011). Reviewer: Huang Wenxue (Scarborough) MSC: 15B51 15A24 15A16 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{L. Lin}, Linear Algebra Appl. 435, No. 3, 448--463 (2011; Zbl 1223.15042) Full Text: DOI
Bai, Zhaojun (ed.); Benzi, Michele (ed.); Elman, Howard (ed.); Higham, Nick (ed.); Kilmer, Misha (ed.); Mehrmann, Volker (ed.) Special issue: Dedicated to G. W. Stewart on the occasion of his 70th birthday. (English) Zbl 1215.15001 Linear Algebra Appl. 435, No. 3, 421-733 (2011). MSC: 15-06 65-06 15B99 65Fxx 00B30 PDFBibTeX XML
Higham, Nicholas J.; Al-Mohy, Awad H. Computing matrix functions. (English) Zbl 1242.65090 Acta Numerica 19, 159-208 (2010). MSC: 65F60 15A16 65F35 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{A. H. Al-Mohy}, Acta Numerica 19, 159--208 (2010; Zbl 1242.65090) Full Text: DOI
Borsdorf, Rüdiger; Higham, Nicholas J.; Raydan, Marcos Computing a nearest correlation matrix with factor structure. (English) Zbl 1213.65022 SIAM J. Matrix Anal. Appl. 31, No. 5, 2603-2622 (2010). Reviewer: Rózsa Horvàth-Bokor (Budapest) MSC: 65C60 90C30 65F30 62H25 62M10 15A03 15B48 PDFBibTeX XMLCite \textit{R. Borsdorf} et al., SIAM J. Matrix Anal. Appl. 31, No. 5, 2603--2622 (2010; Zbl 1213.65022) Full Text: DOI Link
Higham, Nicholas J.; Mehl, Christian; Tisseur, Françoise The canonical generalized polar decomposition. (English) Zbl 1222.15018 SIAM J. Matrix Anal. Appl. 31, No. 4, 2163-2180 (2010). Reviewer: Ali Reza Moghaddamfar (Tehran) MSC: 15A23 65F30 15A63 PDFBibTeX XMLCite \textit{N. J. Higham} et al., SIAM J. Matrix Anal. Appl. 31, No. 4, 2163--2180 (2010; Zbl 1222.15018) Full Text: DOI Link
Guo, Chun-Hua; Higham, Nicholas J.; Tisseur, Françoise An improved arc algorithm for detecting definite Hermitian pairs. (English) Zbl 1202.65054 SIAM J. Matrix Anal. Appl. 31(2009), No. 3, 1131-1151 (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 65F30 65F15 15A18 15B57 PDFBibTeX XMLCite \textit{C.-H. Guo} et al., SIAM J. Matrix Anal. Appl. 31, No. 3, 1131--1151 (2010; Zbl 1202.65054) Full Text: DOI
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
Al-Mohy, Awad H.; Higham, Nicholas J. The complex step approximation to the Fréchet derivative of a matrix function. (English) Zbl 1188.65054 Numer. Algorithms 53, No. 1, 133-148 (2010). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 15A60 65F35 PDFBibTeX XMLCite \textit{A. H. Al-Mohy} and \textit{N. J. Higham}, Numer. Algorithms 53, No. 1, 133--148 (2010; Zbl 1188.65054) Full Text: DOI
Higham, Nicholas J.; Mackey, D. Steven; Tisseur, Françoise Definite matrix polynomials and their linearization by definite pencils. (English) Zbl 1232.65059 SIAM J. Matrix Anal. Appl. 31, No. 2, 478-502 (2009). MSC: 65F15 15B57 15A54 15A22 PDFBibTeX XMLCite \textit{N. J. Higham} et al., SIAM J. Matrix Anal. Appl. 31, No. 2, 478--502 (2009; Zbl 1232.65059) Full Text: DOI Link
Al-Mohy, Awad H.; Higham, Nicholas J. Computing the Fréchet derivative of the matrix exponential, with an application to condition number estimation. (English) Zbl 1180.65049 SIAM J. Matrix Anal. Appl. 30, No. 4, 1639-1657 (2009). Reviewer: Lubomír Bakule (Praha) MSC: 65F30 15A60 65J05 15A16 65F35 PDFBibTeX XMLCite \textit{A. H. Al-Mohy} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 30, No. 4, 1639--1657 (2009; Zbl 1180.65049) Full Text: DOI Link
Guo, Chun-Hua; Higham, Nicholas J.; Tisseur, Françoise Detecting and solving hyperbolic quadratic eigenvalue problems. (English) Zbl 1180.65042 SIAM J. Matrix Anal. Appl. 30, No. 4, 1593-1613 (2009). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 15A18 15A24 65F30 PDFBibTeX XMLCite \textit{C.-H. Guo} et al., SIAM J. Matrix Anal. Appl. 30, No. 4, 1593--1613 (2009; Zbl 1180.65042) Full Text: DOI Link
Higham, Nicholas J.; Li, Ren-Cang; Tisseur, Françoise Backward error of polynomial eigenproblems solved by linearization. (English) Zbl 1159.65042 SIAM J. Matrix Anal. Appl. 29, No. 4, 1218-1241 (2008). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 15A18 65F35 15A22 15A12 PDFBibTeX XMLCite \textit{N. J. Higham} et al., SIAM J. Matrix Anal. Appl. 29, No. 4, 1218--1241 (2008; Zbl 1159.65042) Full Text: DOI Link
Higham, Nicholas J. Functions of matrices. Theory and computation. (English) Zbl 1167.15001 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-46-7/hbk; 978-0-89871-777-8/ebook). xx, 425 p. (2008). Reviewer: Edgar Pereira (Covilha) MSC: 15-01 15-XX 65Fxx PDFBibTeX XMLCite \textit{N. J. Higham}, Functions of matrices. Theory and computation. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2008; Zbl 1167.15001) Full Text: DOI Backlinks: MO
Higham, Nicholas J. Cayley, Sylvester, and Early matrix theory. (English) Zbl 1153.15001 Linear Algebra Appl. 428, No. 1, 39-43 (2008). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15-03 01A55 PDFBibTeX XMLCite \textit{N. J. Higham}, Linear Algebra Appl. 428, No. 1, 39--43 (2008; Zbl 1153.15001) Full Text: DOI
Guo, Chun-Hua; Higham, Nicholas J. Iterative solution of a nonsymmetric algebraic Riccati equation. (English) Zbl 1146.65035 SIAM J. Matrix Anal. Appl. 29, No. 2, 396-412 (2007). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F30 15A24 15B48 65H10 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 29, No. 2, 396--412 (2007; Zbl 1146.65035) Full Text: DOI Link
Higham, Nicholas J.; Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise Symmetric linearizations for matrix polynomials. (English) Zbl 1137.15006 SIAM J. Matrix Anal. Appl. 29, No. 1, 143-159 (2006). Reviewer: Petko Hr. Petkov (Sofia) MSC: 15A22 15A18 65F15 PDFBibTeX XMLCite \textit{N. J. Higham} et al., SIAM J. Matrix Anal. Appl. 29, No. 1, 143--159 (2006; Zbl 1137.15006) Full Text: DOI Link
Higham, Nicholas J.; Mackey, D. Steven; Tisseur, Françoise The conditioning of linearizations of matrix polynomials. (English) Zbl 1131.65034 SIAM J. Matrix Anal. Appl. 28, No. 4, 1005-1028 (2006). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 15A18 65F35 15A22 15A12 PDFBibTeX XMLCite \textit{N. J. Higham} et al., SIAM J. Matrix Anal. Appl. 28, No. 4, 1005--1028 (2006; Zbl 1131.65034) Full Text: DOI Link
Guo, Chun-Hua; Higham, Nicholas J. A Schur-Newton method for the matrix \(p\)th root and its inverse. (English) Zbl 1128.65030 SIAM J. Matrix Anal. Appl. 28, No. 3, 788-804 (2006). Reviewer: Lubomír Bakule (Praha) MSC: 65F30 15A18 15B51 15A24 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 28, No. 3, 788--804 (2006; Zbl 1128.65030) Full Text: DOI
Bini, Dario A.; Higham, Nicholas; Meini, Beatrice Algorithms for the matrix \(p\)th root. (English) Zbl 1103.65046 Numer. Algorithms 39, No. 4, 349-378 (2005). Reviewer: Raffaella Pavani (Milano) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Numer. Algorithms 39, No. 4, 349--378 (2005; Zbl 1103.65046) Full Text: DOI
Hargreaves, Gareth I.; Higham, Nicholas J. Efficient algorithms for the matrix cosine and sine. (English) Zbl 1084.65039 Numer. Algorithms 40, No. 4, 383-400 (2005). MSC: 65F30 65D20 15A24 15A54 PDFBibTeX XMLCite \textit{G. I. Hargreaves} and \textit{N. J. Higham}, Numer. Algorithms 40, No. 4, 383--400 (2005; Zbl 1084.65039) Full Text: DOI Link
Davies, Philip I.; Higham, Nicholas J. Computing \(f(A)b\) for matrix functions \(f\). (English) Zbl 1117.65319 Boriçi, Artan (ed.) et al., QCD and numerical analysis III. Proceedings of the third international workshop on numerical analysis and lattice QCD, Edinburgh, UK, June 30 – July 4, 2003. Berlin: Springer (ISBN 3-540-21257-4/pbk). Lecture Notes in Computational Science and Engineering 47, 15-24 (2005). MSC: 65F30 15A54 PDFBibTeX XMLCite \textit{P. I. Davies} and \textit{N. J. Higham}, Lect. Notes Comput. Sci. Eng. 47, 15--24 (2005; Zbl 1117.65319)
Higham, Nicholas J.; Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise Functions preserving matrix groups and iterations for the matrix square root. (English) Zbl 1079.65053 SIAM J. Matrix Anal. Appl. 26, No. 3, 849-877 (2005). Reviewer: Petko Hr. Petkov (Sofia) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{N. J. Higham} et al., SIAM J. Matrix Anal. Appl. 26, No. 3, 849--877 (2005; Zbl 1079.65053) Full Text: DOI
Davies, Philip I.; Higham, Nicholas J. A Schur-Parlett algorithm for computing matrix functions. (English) Zbl 1052.65031 SIAM J. Matrix Anal. Appl. 25, No. 2, 464-485 (2003). Reviewer: Raffaella Pavani (Milano) MSC: 65F30 15A24 15A54 PDFBibTeX XMLCite \textit{P. I. Davies} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 25, No. 2, 464--485 (2003; Zbl 1052.65031) Full Text: DOI
Higham, Nicholas J.; Smith, Matthew I. Computing the matrix cosine. (English) Zbl 1033.65027 Numer. Algorithms 34, No. 1, 13-26 (2003). MSC: 65F30 15A54 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{M. I. Smith}, Numer. Algorithms 34, No. 1, 13--26 (2003; Zbl 1033.65027)
Higham, Nicholas J. \(J\)-orthogonal matrices: Properties and generation. (English) Zbl 1034.65026 SIAM Rev. 45, No. 3, 504-519 (2003). Reviewer: Plamen Yordanov Yalamov (Russe) MSC: 65F25 15A23 65F35 PDFBibTeX XMLCite \textit{N. J. Higham}, SIAM Rev. 45, No. 3, 504--519 (2003; Zbl 1034.65026) Full Text: DOI
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. Accuracy and stability of numerical algorithms. 2nd ed. (English) Zbl 1011.65010 Philadelphia, PA: SIAM. xxx, 680 p. (2002). Reviewer: Dietrich Braess (Bochum) MSC: 65Fxx 65-02 65G50 15-04 PDFBibTeX XMLCite \textit{N. J. Higham}, Accuracy and stability of numerical algorithms. 2nd ed. Philadelphia, PA: SIAM (2002; Zbl 1011.65010) Full Text: DOI Link
Higham, Nicholas J.; Tisseur, Françoise; Van Dooren, Paul M. Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems. (English) Zbl 1004.65045 Linear Algebra Appl. 351-352, 455-474 (2002). Reviewer: R.Militaru (Craiova) MSC: 65F15 15A22 PDFBibTeX XMLCite \textit{N. J. Higham} et al., Linear Algebra Appl. 351--352, 455--474 (2002; Zbl 1004.65045) 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.; Kim, Hyun-Min Solving a quadratic matrix equation by newton’s method with exact line searches. (English) Zbl 1017.65038 SIAM J. Matrix Anal. Appl. 23, No. 2, 303-316 (2001). Reviewer: Nikolai L.Vulchanov (Warszawa) MSC: 65F30 15A24 65H10 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{H.-M. Kim}, SIAM J. Matrix Anal. Appl. 23, No. 2, 303--316 (2001; Zbl 1017.65038) Full Text: DOI
Higham, Nicholas J. (ed.); Horn, Roger (ed.); Laffey, Thomas J. (ed.); Puerta, Ferran (ed.) Proceedings of the eighth conference of the International Linear Algebra Society (ILAS), Barcelona, Spain, July 19–22, 1999. (English) Zbl 0981.00014 Linear Algebra Appl. 332-334, No. 1-3, 612 p. (2001). MSC: 00B25 15-06 65-06 PDFBibTeX XMLCite \textit{N. J. Higham} (ed.) et al., Linear Algebra Appl. 332--334, 612~p. (2001; Zbl 0981.00014) Full Text: DOI
Tisseur, Françoise; Higham, Nicholas J. Structured pseudospectra for polynomial eigenvalue problems, with applications. (English) Zbl 0996.65042 SIAM J. Matrix Anal. Appl. 23, No. 1, 187-208 (2001). Reviewer: Liu Xinguo (Qingdao) MSC: 65F15 15A22 PDFBibTeX XMLCite \textit{F. Tisseur} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 23, No. 1, 187--208 (2001; Zbl 0996.65042) Full Text: DOI
Cheng, Sheung Hun; Higham, Nicholas J.; Kenney, Charles S.; Laub, Alan J. Approximating the logarithm of a matrix to specified accuracy. (English) Zbl 0989.65057 SIAM J. Matrix Anal. Appl. 22, No. 4, 1112-1125 (2001). Reviewer: Michael Tsatsomeros (Pullman) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{S. H. Cheng} et al., SIAM J. Matrix Anal. Appl. 22, No. 4, 1112--1125 (2001; Zbl 0989.65057) Full Text: DOI
Higham, Nicholas J. Evaluating Padé approximants of the matrix logarithm. (English) Zbl 0989.65054 SIAM J. Matrix Anal. Appl. 22, No. 4, 1126-1135 (2001). Reviewer: Michael Tsatsomeros (Pullman) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 22, No. 4, 1126--1135 (2001; Zbl 0989.65054) Full Text: DOI
Higham, Nicholas J.; Kim, Hyun-Min Numerical analysis of a quadratic matrix equation. (English) Zbl 0966.65040 IMA J. Numer. Anal. 20, No. 4, 499-519 (2000). Reviewer: Peter Reichensperger (Oberasbach) MSC: 65F30 15A24 65F15 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{H.-M. Kim}, IMA J. Numer. Anal. 20, No. 4, 499--519 (2000; Zbl 0966.65040) Full Text: DOI Link
Higham, Nicholas J.; Cheng, Sheung Hun Modifying the inertia of matrices arising in optimization. (English) Zbl 0935.65033 Linear Algebra Appl. 275-276, 261-279 (1998). MSC: 65F15 15A42 90C30 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{S. H. Cheng}, Linear Algebra Appl. 275--276, 261--279 (1998; Zbl 0935.65033) Full Text: DOI
Higham, Nicholas J. Stable iterations for the matrix square root. (English) Zbl 0884.65035 Numer. Algorithms 15, No. 2, 227-242 (1997). Reviewer: F.Szidarovszky (Tucson) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{N. J. Higham}, Numer. Algorithms 15, No. 2, 227--242 (1997; Zbl 0884.65035) Full Text: DOI
Higham, Nicholas J. Accuracy and stability of numerical algorithms. (English) Zbl 0847.65010 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xxviii, 688 p. (1996). Reviewer: N.Köckler (Paderborn) MSC: 65Fxx 15-04 65-02 65G50 PDFBibTeX XMLCite \textit{N. J. Higham}, Accuracy and stability of numerical algorithms. Philadelphia, PA: SIAM (1996; Zbl 0847.65010)
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, Nicholas J. Perturbation theory and backward error for \(AX - XB = C\). (English) Zbl 0781.65034 BIT 33, No. 1, 124-136 (1993). Reviewer: F.Luban (Bucureşti) MSC: 65F30 65F05 65G50 15A24 PDFBibTeX XMLCite \textit{N. J. Higham}, BIT 33, No. 1, 124--136 (1993; Zbl 0781.65034) 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
Higham, Desmond J.; Higham, Nicholas J. Backward error and condition of structured linear systems. (English) Zbl 0747.65028 SIAM J. Matrix Anal. Appl. 13, No. 1, 162-175 (1992). Reviewer: R.H.W.Hoppe (München) MSC: 65F35 65F20 15A12 65G50 PDFBibTeX XMLCite \textit{D. J. Higham} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 13, No. 1, 162--175 (1992; Zbl 0747.65028) Full Text: DOI Link
Higham, Nicholas J. Analysis of the Cholesky decomposition of a semi-definite matrix. (English) Zbl 0721.65014 Reliable numerical computation, Proc. Conf. in Honour of J. H. Wilkinson, Teddington/UK, 161-185 (1990). Reviewer: P.Narain (Bombay) MSC: 65F05 15A45 15A23 PDFBibTeX XML
Higham, Nicholas J.; Schreiber, Robert S. Fast polar decomposition of an arbitrary matrix. (English) Zbl 0711.65024 SIAM J. Sci. Stat. Comput. 11, No. 4, 648-655 (1990). Reviewer: I.Arany MSC: 65F10 65F35 15A23 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{R. S. Schreiber}, SIAM J. Sci. Stat. Comput. 11, No. 4, 648--655 (1990; Zbl 0711.65024) Full Text: DOI Link
Higham, Nicholas J. The accuracy of solutions to triangular systems. (English) Zbl 0683.65029 SIAM J. Numer. Anal. 26, No. 5, 1252-1265 (1989). Reviewer: A.Ruhe MSC: 65F35 65F05 65G50 15A12 PDFBibTeX XMLCite \textit{N. J. Higham}, SIAM J. Numer. Anal. 26, No. 5, 1252--1265 (1989; Zbl 0683.65029) Full Text: DOI
Higham, N. J. Matrix nearness problems and applications. (English) Zbl 0681.65029 Applications of matrix theory, Proc. Conf., Bradford/UK 1988, Inst. Math. Appl. Conf. Ser., New. Ser. 22, 1-27 (1989). Reviewer: A.Ruhe MSC: 65F35 15A60 PDFBibTeX XML
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
Higham, Nicholas J. Computing a nearest symmetric positive semidefinite matrix. (English) Zbl 0649.65026 Linear Algebra Appl. 103, 103-118 (1988). Reviewer: V.G.Rumchev MSC: 65F30 15A60 15B48 65K05 90C25 PDFBibTeX XMLCite \textit{N. J. Higham}, Linear Algebra Appl. 103, 103--118 (1988; Zbl 0649.65026) Full Text: DOI
Higham, Nicholas J. A survey of condition number estimation for triangular matrices. (English) Zbl 0635.65049 SIAM Rev. 29, 575-596 (1987). Reviewer: A.Ruhe MSC: 65F35 15A12 PDFBibTeX XMLCite \textit{N. J. Higham}, SIAM Rev. 29, 575--596 (1987; Zbl 0635.65049) Full Text: DOI Link
Higham, Nicholas J. Computing real square roots of a real matrix. (English) Zbl 0625.65032 Linear Algebra Appl. 88-89, 405-430 (1987). Reviewer: G.Alefeld MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{N. J. Higham}, Linear Algebra Appl. 88--89, 405--430 (1987; Zbl 0625.65032) Full Text: DOI
Higham, Nicholas J. Computing the polar decomposition - with applications. (English) Zbl 0607.65014 SIAM J. Sci. Stat. Comput. 7, 1160-1174 (1986). Reviewer: D.Herceg MSC: 65F30 15A23 PDFBibTeX XMLCite \textit{N. J. Higham}, SIAM J. Sci. Stat. Comput. 7, 1160--1174 (1986; Zbl 0607.65014) Full Text: DOI
Higham, Nicholas J. Matrix computations in Basic on a microcomputer. (English) Zbl 0593.65020 Bull., Inst. Math. Appl. 22, 13-20 (1986). MSC: 65F05 65F30 68Q25 15-04 PDFBibTeX XMLCite \textit{N. J. Higham}, Bull., Inst. Math. Appl. 22, 13--20 (1986; Zbl 0593.65020)