Efficient computation of the matrix cosine

DOI10.1016/j.amc.2013.01.043zbMath1288.65059OpenAlexW2016462255MaRDI QIDQ2451346

Jorge Sastre, Jacinto-Javier Ibáñez, Emilio Defez, Pedro A. Ruiz

Publication date: 3 June 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.01.043

zbMATH Keywords

error analysisTaylor seriesdouble angle formula scaling methodmatrix sine and cosinePaterson-Stockmeyer's method

Mathematics Subject Classification ID

Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (11)

Efficient and accurate algorithms for computing matrix trigonometric functions ⋮ New Hermite series expansion for computing the matrix hyperbolic cosine ⋮ Fast Taylor polynomial evaluation for the computation of the matrix cosine ⋮ A new type of Hermite matrix polynomial series ⋮ Two algorithms for computing the matrix cosine function ⋮ An efficient and accurate algorithm for computing the matrix cosine based on new Hermite approximations ⋮ Solving engineering models using hyperbolic matrix functions ⋮ On the backward and forward error of approximations of analytic functions and applications to the computation of matrix functions ⋮ New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously ⋮ Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative ⋮ On the hyperbolic Horadam matrix functions

Uses Software

• MATLAB expm
• mftoolbox

Cites Work

• Unnamed Item
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• The Scaling and Squaring Method for the Matrix Exponential Revisited
• Functions of Matrices
• On the Number of Nonscalar Multiplications Necessary to Evaluate Polynomials
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