On Bernoulli series approximation for the matrix cosine

被引：2

作者：

Defez, Emilio ^{[1
]}

Ibanez, Javier ^{[2
]}

Alonso, Jose M. ^{[2
]}

Alonso-Jorda, Pedro ^{[3
]}

机构：

[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia, Spain

[2] Univ Politecn Valencia, Inst Instrumentac Imagen Mol, Valencia, Spain

[3] Univ Politecn Valencia, Dept Informat Syst & Computat, Camino Vera S-N, Valencia 46022, Spain

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 06期

关键词：

matrix exponential and similar functions of matrices; polynomials and matrices; FINITE-DIFFERENCE METHOD; LINES;

D O I：

10.1002/mma.7041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a new series expansion based on Bernoulli matrix polynomials to approximate the matrix cosine function. An approximation based on this series is not a straightforward exercise since there exist different options to implement such a solution. We dive into these options and include a thorough comparative of performance and accuracy in the experimental results section that shows benefits and downsides of each one. Also, a comparison with the Pade approximation is included. The algorithms have been implemented in MATLAB and in CUDA for NVIDIA GPUs.

引用

页码：3239 / 3253

页数：15

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