On g-inverses and the nonsingularity of a bordered matrix \(\begin{pmatrix} A&B\\ C&0\end{pmatrix}\)

DOI10.1016/0024-3795(90)90245-8zbMath0699.15002OpenAlexW1996208176MaRDI QIDQ912946

Bingjun Zhou, Yong-Lin Chen

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0024-3795(90)90245-8

zbMATH Keywords

Moore-Penrose inversebordered matrixouter inverseg-inverserank additivityreflexive inverseblock-matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

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Cites Work

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• A Cramer rule for minimum-norm (T) least-squares (S) solution of inconsistent linear equations
• Shorted matrices - an extended concept and some applications
• Generalized Inverses of a Bordered Matrix of Operators
• On the Singularity of a Certain Bordered Matrix

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