On High-Order Iterative Schemes for the Matrix <i>p</i>th Root Avoiding the Use of Inverses

On High-Order Iterative Schemes for the Matrix <i>p</i>th Root Avoiding the Use of Inverses

This paper is devoted to the approximation of matrix <i>p</i>th roots. We present and analyze a family of algorithms free of inverses. The method is a combination of two families of iterative methods. The first one gives an approximation of the matrix inverse. The second family computes,...

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Bibliographic Details
Main Authors: Sergio Amat, Sonia Busquier, Miguel Ángel Hernández-Verón, Ángel Alberto Magreñán
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Mathematics
Subjects:
matrix <i>p</i>th root
inverse operator
iterative method
order of convergence
stability
semilocal convergence
Online Access:https://www.mdpi.com/2227-7390/9/2/144

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https://www.mdpi.com/2227-7390/9/2/144

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