Optimality of the Paterson–Stockmeyer method for evaluating matrix polynomials and rational matrix functions
Author:
Funder
MathWorks
Publisher
Elsevier BV
Subject
Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory
Reference22 articles.
1. A new scaling and squaring algorithm for the matrix exponential;Al-Mohy;SIAM J. Matrix Anal. Appl.,2009
2. Improved inverse scaling and squaring algorithms for the matrix logarithm;Al-Mohy;SIAM J. Sci. Comput.,2012
3. New algorithms for computing the matrix sine and cosine separately or simultaneously;Al-Mohy;SIAM J. Sci. Comput.,2015
4. Efficient and accurate algorithms for computing matrix trigonometric functions;Alonso;J. Comput. Appl. Math.,2017
5. Matrix inverse trigonometric and inverse hyperbolic functions: theory and algorithms;Aprahamian;SIAM J. Matrix Anal. Appl.,2016
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