On common generalized inverses of a pair of matrices
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Publication:3422751
DOI10.1080/03081080500286560zbMath1116.15009OpenAlexW2074957832MaRDI QIDQ3422751
Publication date: 14 February 2007
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080500286560
generalized inversesminimal rankset inclusionrange equalityset equalitypartitioned matricesrank formulas
Theory of matrix inversion and generalized inverses (15A09) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (3)
On constrained generalized inverses of matrices and their properties ⋮ Classification analysis to the equalities A(i,…,j) = B(k,…,l) for generalized inverses of two matrices ⋮ On Hermitian generalized inverses and positive semidefinite generalized inverses
Cites Work
- A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem
- The minus partial order and the shorted matrix
- The maximal and minimal ranks of some expressions of generalized inverses of matrices
- Upper and lower bounds for ranks of matrix expressions using generalized inverses
- Some generalized forms of least squares \(g\)-inverse, minimum norm \(g\)- inverse, and Moore-Penrose inverse matrices
- More on maximal and minimal ranks of Schur complements with applications
- Rank equalities for idempotent and involutory matrices
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