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
收藏
页码：3239 / 3253
页数：15
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