Two algorithms for computing the matrix cosine function

Jorge Sastre, Javier Ibáñez, Pedro Alonso, Jesús Peinado and Emilio Defez

Applied Mathematics and Computation, 2017, vol. 312, issue C, 66-77

Abstract: The computation of matrix trigonometric functions has received remarkable attention in the last decades due to its usefulness in the solution of systems of second order linear differential equations. Several state-of-the-art algorithms have been provided recently for computing these matrix functions. In this work, we present two efficient algorithms based on Taylor series with forward and backward error analysis for computing the matrix cosine. A MATLAB implementation of the algorithms is compared to state-of-the-art algorithms, with excellent performance in both accuracy and cost.

Keywords: Matrix cosine; Scaling and recovering method; Taylor series; Forward error analysis; Backward error analysis; MATLAB (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:312:y:2017:i:c:p:66-77

DOI: 10.1016/j.amc.2017.05.019

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