Two algorithms for computing the matrix cosine function

作者：

Highlights：

• Two accurate and efficient Taylor algorithms have been proposed to compute the matrix cosine.

• An error bound analysis is given and a theoretical estimate for the optimal value of its parameters is obtained.

• Two efficient MATLAB implementations are presented and compared with other state-of-the-art implementations. In the comparative four battery tests have been used.

摘要

•Two accurate and efficient Taylor algorithms have been proposed to compute the matrix cosine.•An error bound analysis is given and a theoretical estimate for the optimal value of its parameters is obtained.•Two efficient MATLAB implementations are presented and compared with other state-of-the-art implementations. In the comparative four battery tests have been used.

论文关键词：Matrix cosine,Scaling and recovering method,Taylor series,Forward error analysis,Backward error analysis,MATLAB

论文评审过程：Received 26 October 2016, Revised 21 February 2017, Accepted 1 May 2017, Available online 29 May 2017, Version of Record 29 May 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.05.019