On efficient implementations of Kogbetliantz's algorithm for computing the singular value decomposition
type: Item
instance of: scholarly article
title: On efficient implementations of Kogbetliantz's algorithm for computing the singular value decomposition
zbMATH Open document ID: 0617.65032
DOI: 10.1007/BF01398880
author: M. Vanbegin
author: J.-P. Charlier
author: Paul van Dooren
published in: Numerische Mathematik
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133236
review text: We compare several implementations of Kogbetliantz's algorithm for computing the SVD on sequential as well as on parallel machines. Comparisons are based on timings and on operation counts. The numerical accuracy of the different methods is also analyzed.
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 4001319
zbMATH Keywords: Kogbetliantz's algorithm
zbMATH Keywords: comparisons
zbMATH Keywords: singular value decomposition
zbMATH Keywords: parallel computing
describes a project that uses: NAG
MaRDI profile type: Publication
cites work: Q3730938
cites work: The Solution of Singular-Value and Symmetric Eigenvalue Problems on Multiprocessor Arrays
cites work: On Kogbetliantz's SVD algorithm in the presence of clusters
cites work: The Cyclic Jacobi Method for Computing the Principal Values of a Complex Matrix
cites work: Q5185900
cites work: Computing the Singular Value Decomposition of a Product of Two Matrices
cites work: Solution of linear equations by diagonalization of coefficients matrix
cites work: Basic Linear Algebra Subprograms for Fortran Usage
cites work: A triangular processor array for computing singular values
cites work: On Parallel Jacobi Orderings
cites work: A proof of convergence for two parallel Jacobi SVD algorithms
cites work: Efficient implementation of Jacobi's diagonalization method on the DAP
cites work: Data-flow algorithms for parallel matrix computation
cites work: Computing the Generalized Singular Value Decomposition
cites work: On the quadratic convergence of Kogbetliantz's algorithm for computing the singular value decomposition
cites work: A Jacobi-Like Algorithm for Computing the Schur Decomposition of a Nonhermitian Matrix
cites work: Q5674306
OpenAlex ID: W2052917854
description: scientific article; zbMATH DE number 4001319