On the convergence of cyclic Jacobi-like processes
type: Item
instance of: scholarly article
title: On the convergence of cyclic Jacobi-like processes
zbMATH Open document ID: 0619.65025
DOI: 10.1016/0024-3795(86)90252-1
published in: Linear Algebra and its Applications
publication date: 1986-01-01T00:00:00Z
review text: A complex column- and row-cyclic Jacobi-like process of the form \(A^{(k+1)}=U^*_ k,A^{(k)}V_ k+F^{(k)}\), \(k\geq 1\), where \(U_ k\), \(V_ k\) are unitary matrices and \(F^{(k)}\) is a sequence converging to diagonal form, is studied. \(A^{(1)}\) is an arbitrary \(n\times n\) matrix. Necessary and sufficient conditions for the convergence are given. Equivalence classes of cyclic pivot strategies are defined.
reviewed by: L.Boubelíková
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 4005448
zbMATH Keywords: cyclic Jacobi-like process
zbMATH Keywords: convergence
zbMATH Keywords: cyclic pivot strategies
author: Vjeran Hari
MaRDI profile type: Publication
full work available at URL: 0024-3795(86)90252-1
OpenAlex ID: W2008884102
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description: scientific article; zbMATH DE number 4005448