Weighted \(UDV^*\)-decomposition and weighted spectral decomposition for rectangular matrices and their applications

DOI10.1016/j.amc.2007.08.026zbMath1157.15004OpenAlexW2004535196MaRDI QIDQ2425971

Hu Yang, Hanyu Li

Publication date: 17 April 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.08.026

zbMATH Keywords

weighted Moore-Penrose inversematrix equationCauchy's formulaweighted \(UDV^\ast\)-decompositionweighted resolvent equationweighted spectral decomposition

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24)

Related Items (4)

Relative and absolute perturbation bounds for weighted polar decomposition ⋮ Lavoie inequalities for weighted generalized inverses of matrices ⋮ Perturbation bounds for weighted polar decomposition in the weighted unitarily invariant norm ⋮ Relative perturbation bounds for weighted polar decomposition

Cites Work

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• Condition numbers and perturbation of the weighted Moore--Penrose inverse and weighted linear least squares problem.
• Generalized inverses. Theory and applications.
• Some topics on weighted Moore-Penrose inverse, weighted least squares and weighted regularized Tikhonov problems
• Weighted Polar Decomposition and WGL Partial Ordering of Rectangular Complex Matrices
• Generalizing the Singular Value Decomposition

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