On the matrix difference \({\mathbf I}-{\mathbf A}\)

DOI10.1016/j.camwa.2011.07.015zbMath1231.15005OpenAlexW62527228MaRDI QIDQ660874

Oskar Maria Baksalary, Götz Trenkler

Publication date: 5 February 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.07.015

zbMATH Keywords

square matrixorthogonal projectorpartitioned matrixcolumn spaceMoorePenrose inverseproperly partitioned matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Special matrices (15B99)

Cites Work

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• On the projectors \(\mathbf F\mathbf F^\dagger\) and \(\mathbf F^\dagger\mathbf F\).
• Further results on generalized and hypergeneralized projectors
• On a matrix decomposition of Hartwig and Spindelböck
• The Moore-Penrose inverse of a partitioned nonnegative definite matrix
• Generalized inverses. Theory and applications.
• Constructing projections on sums and intersections
• Matrices for whichA^∗andA^†commute
• Characterizations of EP, normal, and Hermitian matrices
• Partial isometries, contractions and EP matrices
• Generalized Inverses of Linear Transformations
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
• Matrix theory. Basic results and techniques

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