A singular value decomposition algorithm based on solving hyperplane constrained nonlinear systems

DOI10.1016/j.amc.2010.01.076zbMath1200.65029OpenAlexW2122042590MaRDI QIDQ969142

Masashi Iwasaki, Kenichi Yadani, Koichi Kondo

Publication date: 11 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/128897

zbMATH Keywords

algorithmnonlinear systemnumerical examplessingular value decompositionhyperplanequadratic convergenceNewton's iterative method

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (2)

Numerical performance of hyperplane constrained method and its hybrid method for singular value decomposition ⋮ Iterative methods for the canonical decomposition of multi-way arrays: application to blind underdetermined mixture identification

Uses Software

• CLAPACK
• FastICA

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Computational theory of iterative methods.
• Eigendecomposition algorithms solving sequentially quadratic systems by Newton method
• Matrix Theory
• Inverse Iteration, Ill-Conditioned Equations and Newton’s Method
• Signal analysis using a multiresolution form of the singular value decomposition
• On the convergence of a solution of the discrete Lotka Volterra system
• An application of the discrete Lotka–Volterra system with variable step-size to singular value computation
• Iterative Solution of Nonlinear Equations in Several Variables
• The quadratic method for computing the eigenpairs of a martix

This page was built for publication: A singular value decomposition algorithm based on solving hyperplane constrained nonlinear systems