Weighted singular value decomposition of matrices with singular weights based on weighted orthogonal transformations

DOI10.1007/s10559-015-9743-8zbMath1337.15012OpenAlexW2274293306MaRDI QIDQ747296

E. F. Galba, Ivan V. Sergienko

Publication date: 23 October 2015

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-015-9743-8

zbMATH Keywords

regularizationsingular weightsmatrix power seriesweighted singular value decompositionweighted normal pseudosolutionsweighted pseudoinversematrix power productsweighted orthogonal transformations

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (4)

Weighted pseudoinversion with singular weights ⋮ Numerical range for weighted Moore-Penrose inverse of tensor ⋮ Methods for computing weighted pseudoinverses and weighted normal pseudosolutions with singular weights ⋮ Convergence analyses based on frequency decomposition for the randomized row iterative method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and uniqueness theorems in the theory of weighted pseudoinverses with singular weights
• Reliability analysis of computer solutions of systems of linear algebraic equations with approximate initial data
• Perturbation bounds for the least squares problem
• Methods of computing weighted pseudoinverse matrices with singular weights
• Weighted singular decomposition and weighted pseudoinversion of matrices
• The method of augmented regularized normal equations
• Error estimation for a weighted minimum-norm least squares solution with positive definite weights
• Eigenvectors ofH-Selfadjoint Matrices
• Weighted pseudoinverses and weighted normal pseudosolutions with singular weights
• Generalizing the Singular Value Decomposition
• Iterative methods for computing weighted minimum-length least squares solution with a singular weight matrix

This page was built for publication: Weighted singular value decomposition of matrices with singular weights based on weighted orthogonal transformations