Nullities of submatrices of the Moore-Penrose inverse

DOI10.1016/0024-3795(87)90084-XzbMath0626.15004MaRDI QIDQ580476

Donald W. Robinson

Publication date: 1987

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

zbMATH Keywords

singular value decompositionsplittingsMoore-Penrose inversedifference of nullitiespartitioned matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Miscellaneous inequalities involving matrices (15A45)

Related Items

Rank equalities for submatrices in generalized inverse \(M_{T,S}^{(2)}\) of \(M\) ⋮ More on maximal and minimal ranks of Schur complements with applications ⋮ Outer inverses: Jacobi type identities and nullities of submatrices

Cites Work

• A note on matrix inversion
• Completing a matrix when certain entries of its inverse are specified
• The Smith form, the inversion rule for 2x2 matrices, and the uniqueness of the invariant factors for finitely generated modules
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nullities of submatrices of the Moore-Penrose inverse