A singular value decomposition algorithm based on solving hyperplane constrained nonlinear systems
type: Item
instance of: scholarly article
title: A singular value decomposition algorithm based on solving hyperplane constrained nonlinear systems
zbMATH Open document ID: 1200.65029
author: Kenichi Yadani
author: Koichi Kondo
author: Masashi Iwasaki
published in: Applied Mathematics and Computation
publication date: 2010-05-11T00:00:00Z
full work available at URL: http://hdl.handle.net/2433/128897
review text: The authors propose a new algorithm for the singular value decomposition (SVD) based on solving nonlinear systems whose solutions are constrained on hyperplanes with the help of Newton's iterative method, and prove that the SVD algorithm has quadratic convergence. Finally, they give some numerical examples to confirm these facts.
Mathematics Subject Classification ID: 65F20
zbMATH DE Number: 5707057
zbMATH Keywords: singular value decomposition
zbMATH Keywords: Newton's iterative method
zbMATH Keywords: nonlinear system
zbMATH Keywords: hyperplane
zbMATH Keywords: quadratic convergence
zbMATH Keywords: algorithm
zbMATH Keywords: numerical examples
describes a project that uses: FastICA
describes a project that uses: CLAPACK
MaRDI profile type: Publication
OpenAlex ID: W2122042590
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DOI: 10.1016/J.AMC.2010.01.076
description: scientific article; zbMATH DE number 5707057