More on generalized inverses of partitioned matrices with Banachiewicz-Schur forms

DOI10.1016/j.laa.2008.06.007zbMath1162.15002OpenAlexW2041135148MaRDI QIDQ1002266

Yoshio Takane, Yongge Tian

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.06.007

zbMATH Keywords

Schur complementgeneralized inverseHermitian matrixMoore-Penrose inversepartitioned matrixmatrix rank methodBanachiewicz-Schur form

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

On the Moore-Penrose pseudo-inversion of block symmetric matrices and its application in the graph theory ⋮ A nonlinear observer for bilinear systems in block form ⋮ Several expressions for the generalized Drazin inverse of a block matrix in a Banach algebra ⋮ Canonical correlation-based model selection for the multilevel factors ⋮ Geometry structures of the generalized inverses of block two-by-two matrices ⋮ Expression for the multiplicative perturbation of the Moore–Penrose inverse ⋮ Flexible and efficient discretizations of multilayer models with variable density ⋮ New representations of the Moore-Penrose inverse of \(2 \times 2\) block matrices ⋮ Expressions for the Moore-Penrose inverse of block matrices involving the Schur complement ⋮ Drazin inverse of partitioned matrices in terms of Banachiewicz-Schur forms ⋮ Formulae for the generalized Drazin inverse of a block matrix in terms of Banachiewicz-Schur forms ⋮ Expression of the Drazin and MP-inverse of partitioned matrix and quotient identity of generalized Schur complement ⋮ Further results on the generalized Drazin inverse of block matrices in Banach algebras

Cites Work

• Generalized inverses of partitioned matrices in Banachiewicz-Schur form
• Upper and lower bounds for ranks of matrix expressions using generalized inverses
• More on maximal and minimal ranks of Schur complements with applications
• Generalized Inverse Formulas Using the Schur Complement
• Eight expressions for generalized inverses of a bordered matrix
• Generalized Inverses of Partitioned Matrices
• A Note on Partitioned Matrices and Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: More on generalized inverses of partitioned matrices with Banachiewicz-Schur forms