On explicit formulas of the principal matrix \(p\)th root by polynomial decompositions

DOI10.1016/j.amc.2014.05.110zbMath1334.15020OpenAlexW1975887716MaRDI QIDQ279572

F. Blanchet-Sadri, M. Dambrine

Publication date: 28 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.110

zbMATH Keywords

matrix \(p\)th rootpolynomial decompositionprincipal matrix \(p\)th root

Mathematics Subject Classification ID

Matrix exponential and similar functions of matrices (15A16)

Related Items

On explicit formulas of the principal matrix \(p\)th root by polynomial decompositions ⋮ Improving formulas for the eigenvalues of finite block-Toeplitz tridiagonal matrices ⋮ Unnamed Item ⋮ Explicit formulas for the constituent matrices. Application to the matrix functions

Uses Software

• mftoolbox

Cites Work

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• Fibonacci-Horner decomposition of the matrix exponential and the fundamental system of solutions
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