The condition numbers for weighted Moore-Penrose inverse and weighted linear least squares problem

DOI10.1016/j.amc.2009.04.068zbMath1183.65045OpenAlexW2110390913MaRDI QIDQ732472

Shu-Fan Wang, Zhi-Ping Xiong, Bing Zheng, Zi-Zhen Li

Publication date: 9 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.068

zbMATH Keywords

condition numberweighted Moore-Penrose inverseweighted least squares

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items (7)

An efficient hyperpower iterative method for computing weighted Moore-Penrose inverse ⋮ Computation of weighted Moore-Penrose inverse through Gauss-Jordan elimination on bordered matrices ⋮ On mixed and componentwise condition numbers for indefinite least squares problem ⋮ A flexible condition number for weighted linear least squares problem and its statistical estimation ⋮ Acute perturbation bounds of weighted Moore–Penrose inverse ⋮ A condition analysis of the weighted linear least squares problem using dual norms ⋮ On the condition number theory of the equality constrained indefinite least squares problem

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