Computing the matrix sine and cosine simultaneously with a reduced number of products-Reference-Cited by-同舟云学术

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Computing the matrix sine and cosine simultaneously with a reduced number of products

Published:2021-05 Issue: Volume:163 Page:96-107
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Seydaoğlu Muaz,Bader Philipp,Blanes Sergio,Casas Fernando

Funder

Ministerio de Economía, Industria y Competitividad, Gobierno de España

Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference30 articles.

1. New algorithms for computing the matrix sine and cosine separately or simultaneously;Al-Mohy;SIAM J. Sci. Comput.,2015

2. Computing the matrix exponential with an optimized Taylor polynomial approximation;Bader;Mathematics,2019

3. Symplectic integrators for the matrix Hill's equation and its applications to engineering models;Bader;J. Comput. Appl. Math.,2017

4. The scaling, splitting and squaring method for the exponential of perturbed matrices;Bader;SIAM J. Matrix Anal. Appl.,2015

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An Efficient Algorithm for Basic Elementary Matrix Functions with Specified Accuracy and Application;AppliedMath;2024-06-05

2. Computational Graphs for Matrix Functions;ACM Transactions on Mathematical Software;2022-12-31

3. An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation;Mathematics and Computers in Simulation;2022-04

4. Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative;SIAM Journal on Matrix Analysis and Applications;2022-02-17

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