Perturbation bounds for matrix square roots and Pythagorean sums
type: Item
instance of: scholarly article
title: Perturbation bounds for matrix square roots and Pythagorean sums
zbMATH Open document ID: 0758.15006
DOI: 10.1016/0024-3795(92)90052-C
author: B. A. Schmitt
published in: Linear Algebra and its Applications
publication date: 1992-10-26T00:00:00Z
review text: Let \(A\) be an \(n\times n\) complex matrix and let \(R\) be its square root (when such exists) while \(P=(I+A)^{1/2}\) denotes the Pythagorean sum. The author obtains perturbation estimates for \(R\) and \(P\). Further when the latter are accretive he obtains bounds for the solution of the matrix Sylvester equation and for the separation of two matrices.
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 15A45
zbMATH DE Number: 69530
zbMATH Keywords: matrix square roots
zbMATH Keywords: accretive matrices
zbMATH Keywords: Pythagorean sum
zbMATH Keywords: perturbation estimates
zbMATH Keywords: matrix Sylvester equation
Wikidata QID: Q114215299
reviewed by: George Phillip Barker
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 69530