Relationships between generalized inverses of a matrix and generalized inverses of its rank-one-modifications

DOI10.1016/j.laa.2004.03.020zbMath1060.15010OpenAlexW2088113164MaRDI QIDQ1883304

Oskar Maria Baksalary, Jerzy K. Baksalary

Publication date: 4 October 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.03.020

zbMATH Keywords

generalized inversereflexive generalized inverseSherman-Morrison formulamodified matrixrank-one-modifications

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (3)

A divide-and-conquer approach for the computation of the Moore-Penrose inverses ⋮ Computing \(\{2,4\}\) and \(\{2,3\}\)-inverses by using the Sherman-Morrison formula ⋮ Computing the pseudoinverse of specific Toeplitz matrices using rank-one updates

Cites Work

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• Quadratic Forms and Idempotent Matrices with Random Elements
• Generalized Inversion of Modified Matrices

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