Bounds for variable degree rational \(L_\infty\) approximations to the matrix cosine

DOI10.1016/j.cpc.2014.07.001zbMath1348.65083OpenAlexW2132411383MaRDI QIDQ339264

Ch. Tsitouras, Vasilios N. Katsikis

Publication date: 10 November 2016

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2014.07.001

zbMATH Keywords

matrix cosinerational \(L_\infty\) approximationRemez algorithm

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Algorithms for approximation of functions (65D15) Matrix exponential and similar functions of matrices (15A16) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (3)

On Bernoulli series approximation for the matrix cosine ⋮ Two algorithms for computing the matrix cosine function ⋮ Bounds for variable degree rational \(L_\infty\) approximations to the matrix exponential

Uses Software

• Matlab
• mctoolbox
• SLEEF
• mftoolbox

Cites Work

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• Rational approximation to trigonometric operators
• Computing the matrix cosine
• A Gautschi-type method for oscillatory second-order differential equations
• Efficient algorithms for the matrix cosine and sine
• Numerical Methods for y″ =f(x, y) via Rational Approximations for the Cosine
• Spectral Methods in MATLAB
• Functions of Matrices

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