Computation of weighted Moore-Penrose inverse through Gauss-Jordan elimination on bordered matrices

DOI10.1016/j.amc.2017.11.041zbMath1426.65041OpenAlexW2778842036MaRDI QIDQ2423120

Xingping Sheng

Publication date: 21 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2017.11.041

zbMATH Keywords

computational complexityweighted Moore-Penrose inverseGauss-Jordan eliminationpartitioned matrix

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Methods of Gauss–Jordan elimination to compute core inverse and dual core inverse, Unnamed Item, The Core-EP, Weighted Core-EP Inverse of Matrices and Constrained Systems of Linear Equations, An interval extension of SMS method for computing weighted Moore-Penrose inverse, Computing the Moore-Penrose inverse using its error bounds, Two closed novel formulas for the generalized inverse \(A_{T,S}^{(2)}\) of a complex matrix with given rank, WEIGHTED MOORE-PENROSE INVERSES OF ADJOINTABLE OPERATORS ON INDEFINITE INNER-PRODUCT SPACES, Weighted Moore-Penrose inverses of products and differences of weighted projections on indefinite inner-product spaces

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