Regions of convergence of a Padé family of iterations for the matrix sector function and the matrix \(p\)th root

DOI10.1016/j.cam.2012.04.007zbMath1251.65057OpenAlexW2001238573MaRDI QIDQ442727

Oleksandr Gomilko, Minghua Lin, Krystyna Ziętak, Dmitriĭ Borisovich Karp

Publication date: 3 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.cam.2012.04.007

zbMATH Keywords

numerical experimentshypergeometric functionPadé approximantregion of convergencematrix roothypergeometric identitymatrix sector functionrational matrix iteration

Mathematics Subject Classification ID

Related Items (5)

New identities for a sum of products of the Kummer functions ⋮ On iterative algorithms for the polar decomposition of a matrix and the matrix sign function ⋮ The dual Padé families of iterations for the matrix \(p\)th root and the matrix \(p\)-sector function ⋮ Rational minimax iterations for computing the matrix \(p\)th root ⋮ A new identity for the sum of products of the generalized hypergeometric functions

Cites Work

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• Functions of Matrices

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