The Moore–Penrose inverses of lower triangular operators

DOI10.1080/03081080903278875zbMath1213.47004OpenAlexW2006448289MaRDI QIDQ3082865

Yuan Li

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1080/03081080903278875

zbMATH Keywords

Moore-Penrose inverseBott-Duffin inversetriangular form

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (2)

Operator matrix representations of the generalised Bott-Duffin inverse ⋮ Geometry structures of the generalized inverses of block two-by-two matrices

Cites Work

• The generalized Bott-Duffin inverse and its applications
• The Moore-Penrose inverses of \(m\times n\) block matrices and their applications
• Representations of the generalized inverse
• A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
• Perturbation theory for the generalized Bott-Duffin inverse and its applications
• A note on the generalized Bott-Duffin inverse
• A Characterization and Representation of the Drazin Inverse

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