An efficient and accurate algorithm for computing the matrix cosine based on new Hermite approximations

Author:

Defez Emilio,Ibáñez Javier,Peinado JesúsORCID,Sastre Jorge,Alonso-Jordá PedroORCID

Funder

Spanish Ministerio de Economía y Competitividad

European Regional Development Fund (ERDF)

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference33 articles.

1. An algorithm for computing the matrix cosine;Serbin;SIAM J. Sci. Stat. Comput.,1980

2. Computing the matrix cosine;Higham;Numer. Algorithms,2003

3. Efficient algorithms for the matrix cosine and sine;Hargreaves;Numer. Algorithms,2005

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

5. Two algorithms for computing the matrix cosine function;Sastre;Appl. Math. Comput.,2017

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1. New Hermite series expansion for computing the matrix hyperbolic cosine;Journal of Computational and Applied Mathematics;2022-07

2. Explicit formulas for computing matrix trigonometric functions;Journal of Interdisciplinary Mathematics;2022-05-10

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

4. Gaussian Regularization of the Pseudospectrum and Davies’ Conjecture;Communications on Pure and Applied Mathematics;2021-08-16

5. On Bernoulli series approximation for the matrix cosine;Mathematical Methods in the Applied Sciences;2020-11-18

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