An efficient and accurate algorithm for computing the matrix cosine based on new Hermite approximations

DOI10.1016/j.cam.2018.08.047zbMath1458.65048OpenAlexW2888796051WikidataQ129310818 ScholiaQ129310818MaRDI QIDQ1757341

Jesús Peinado, Jorge Sastre, Emilio Defez, Pedro Alonso-Jordá, Jacinto-Javier Ibáñez

Publication date: 4 January 2019

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

Full work available at URL: http://hdl.handle.net/10251/145547

zbMATH Keywords

parallel implementationCUDAmatrix cosinescaling and squaring methodHermite seriesforward error

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Matrix exponential and similar functions of matrices (15A16) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items

New Hermite series expansion for computing the matrix hyperbolic cosine ⋮ On Bernoulli series approximation for the matrix cosine ⋮ Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative

Uses Software

• CUDA
• CUBLAS
• Eigtool
• Seigtool
• testmatrix
• mftoolbox

Cites Work

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