Lavoie inequalities for weighted generalized inverses of matrices

DOI10.1080/03081080802402063zbMath1208.15004OpenAlexW2067490911MaRDI QIDQ3564192

Hua Shao, Hu Yang, Hanyu Li

Publication date: 2 June 2010

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

Full work available at URL: https://doi.org/10.1080/03081080802402063

zbMATH Keywords

Lavoie inequalityweighted {2,4}-inverseweighted Moore-Penrose inverse, weighted singular value decomposition

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Miscellaneous inequalities involving matrices (15A45)

Cites Work

• A generalization of Lavoie's inequality concerning the sum of idempotent matrices
• A determinantal inequality involving the Moore-Penrose inverse
• On Lavoie's determinantal inequality
• Convergence of Newton-like methods for singular operator equations using outer inverses
• Weighted \(UDV^*\)-decomposition and weighted spectral decomposition for rectangular matrices and their applications
• Matrix left symmetry factor and its applications in generalized inverses \(A_{T,S}^{(2,4)}\)
• Matrix Analysis
• Generalizing the Singular Value Decomposition

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