Approximation and continuity of Moore-Penrose inverses of orthogonal row block matrices

DOI10.1016/j.amc.2008.10.027zbMath1163.15004OpenAlexW2088372176MaRDI QIDQ1015776

Yongge Tian

Publication date: 30 April 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.10.027

zbMATH Keywords

Moore-Penrose inversenorm inequalitiesorthogonal projectorblock matrixapproximation continuity

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Cites Work

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• Using rank formulas to characterize equalities for Moore-Penrose inverses of matrix products.
• Generalized inverses. Theory and applications.
• More on maximal and minimal ranks of Schur complements with applications
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• On Sum Decompositions of Weighted Least-Squares Estimators for the Partitioned Linear Model
• On the Continuity of the Generalized Inverse
• Perturbation theory for pseudo-inverses