Particular formulae for the Moore-Penrose inverses of the partitioned bounded linear operators

DOI10.1016/j.laa.2008.01.021zbMath1140.47002OpenAlexW2050465771MaRDI QIDQ924366

Qingxiang Xu, Xiaoxia Hu

Publication date: 15 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.01.021

zbMATH Keywords

Moore-Penrose inversepartitioned bounded linear operator

Mathematics Subject Classification ID

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

Related Items (4)

On the Hermitian solutions to a system of adjointable operator equations ⋮ The solutions to some operator equations ⋮ Positive semi-definite matrices of adjointable operators on Hilbert \(C^{*}\)-modules ⋮ Moore--Penrose inverses of partitioned adjointable operators on Hilbert \(C^*\)-modules

Cites Work

• Particular formulae for the Moore--Penrose inverse of a columnwise partitioned matrix
• Obtuse cones and Gram matrices with non-negative inverse

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