ニコラス・ジョン・ハイアム（Nicholas John Higham、1961年12月25日 - 2024年1月20日）は、イギリスの数学者。数値解析・数値線形代数を専門とした。
著書 Handbook of writing for the mathematical sciences, NJ Higham - SIAM, 1998. Accuracy and stability of numerical algorithms, NJ Higham - SIAM, 2002. Functions of matrices: theory and computation, NJ Higham - SIAM, 2008. MATLAB guide, DJ Higham, NJ Higham - SIAM, 2016. 解説記事 A survey of condition number estimation for triangular matrices, NJ Higham - SIAM Review, 1987. The scaling and squaring method for the matrix exponential revisited, NJ Higham - :en:SIAM Journal on Matrix Analysis and Applications, 2005. NLEVP: A collection of nonlinear eigenvalue problems, T Betcke, NJ Higham, V Mehrmann, C Schröder et al. - ACM Transactions on Mathematical Software (TOMS), 2013. Differentiation With(out) a Difference By Nicholas Higham 代表的な論文 単著 1980年代 Computing the polar decomposition—with applications, NJ Higham - SIAM Journal on Scientific and Statistical Computing, 1986 Computing real square roots of a real matrix, NJ Higham - Linear Algebra and its Applications, 1987. Computing a nearest symmetric positive semidefinite matrix, NJ Higham - Linear algebra and its applications, 1988. FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation, NJ Higham - ACM Transactions on Mathematical Software (TOMS), 1988.
1990年代 The accuracy of floating point summation, NJ Higham - :en:SIAM Journal on Scientific Computing, 1993. Stable iterations for the matrix square root, NJ Higham - Numerical Algorithms, 1997. 2000年代 Computing the nearest correlation matrix—a problem from finance, NJ Higham - IMA Journal of Numerical Analysis, 2002. The numerical stability of barycentric Lagrange interpolation, NJ Higham - IMA Journal of Numerical Analysis, 2004. Nicholas J. Higham: Functions of Matrices: Theory and Computation, SIAM, (2008).
共著 Structured pseudospectra for polynomial eigenvalue problems, with applications, F Tisseur, NJ Higham - :en:SIAM Journal on Matrix Analysis and Applications, 2001. A new scaling and squaring algorithm for the matrix exponential, AH Al-Mohy, NJ Higham - :en:SIAM Journal on Matrix Analysis and Applications, 2009. Computing the action of the matrix exponential, with an application to exponential integrators, AH Al-Mohy, NJ Higham - :en:SIAM Journal on Scientific Computing, 2011. 主な講演 数値線形代数全般に関する講演
行列値関数に関する講演
行列指数関数に関する講演
関連項目 マンチェスター大学-1985年にここで博士号を取得したHigham, Nicholas (1985). Nearness Problems in Numerical Linear Algebra (Ph.D. thesis). University of Manchester. SIAM (学会)-2017/2018年に代表を務めた :en:Desmond Higham-数値解析を専門とする弟 出典
外部リンク
Nick Higham