Weighted generalized inverses of partitioned matrices in Banachiewicz-Schur form

DOI10.1007/BF02832045zbMath1116.15006OpenAlexW2010367013MaRDI QIDQ861468

Bing Zheng, Dragana S. Cvetković-Ilić

Publication date: 29 January 2007

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

Full work available at URL: https://doi.org/10.1007/bf02832045

zbMATH Keywords

Schur complementweighted Moore-Penrose inverseBanachiewicz-Schur formweighted Drazin inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items

On the inverse of a special Schur complement of an operator, Computing generalized inverses of a rational matrix and applications, Some generalized inverses of partition matrix and quotient identity of generalized Schur complement, Unnamed Item, Representations of generalized inverses and Drazin inverse of partitioned matrix with Banachiewicz-Schur forms, Expression of the Drazin and MP-inverse of partitioned matrix and quotient identity of generalized Schur complement

Cites Work

• Schur complements and statistics
• Generalized Schur complements
• The representation and approximation of the \(W\)-weighted Drazin inverse of linear operators in Hilbert space.
• Generalized inverses of partitioned matrices in Banachiewicz-Schur form
• Determination of the inertia of a partitioned Hermitian matrix
• Extremal Characterizations of the Schur Complement and Resulting Inequalities
• Expressions for the drazin inverse of a 2×2 Block Matrix
• Montononicity of the optimal cost in the discrete-time regulator problem and Schur complements
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item