Note on the quadratic convergence of Kogbetliantz's algorithm for computing the singular value decomposition
type: Item
instance of: scholarly article
title: Note on the quadratic convergence of Kogbetliantz's algorithm for computing the singular value decomposition
zbMATH Open document ID: 0652.65028
DOI: 10.1016/0024-3795(88)90313-8
author: Zhaojun Bai
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
review text: The author establishes sufficient conditions for the asymptotic quadratic convergence of the cyclic Kogbetliantz algorithm for computing the singular value decomposition of a triangular matrix in the case of repeated or clustered singular values.
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 4064363
zbMATH Keywords: asymptotic quadratic convergence
zbMATH Keywords: cyclic Kogbetliantz algorithm
zbMATH Keywords: singular value decomposition
zbMATH Keywords: triangular matrix
zbMATH Keywords: clustered singular values
reviewed by: Alan L. Andrew
MaRDI profile type: Publication
full work available at URL: 0024-3795(88)90313-8
OpenAlex ID: W2058290530
cites work: An Improved Algorithm for Computing the Singular Value Decomposition
cites work: The Cyclic Jacobi Method for Computing the Principal Values of a Complex Matrix
cites work: Solution of linear equations by diagonalization of coefficients matrix
cites work: On the quadratic convergence of Kogbetliantz's algorithm for computing the singular value decomposition
cites work: Computing the Singular Value Decomposition of a Product of Two Matrices
cites work: Q5185900
description: scientific article; zbMATH DE number 4064363