Generalized Inverses of a Bordered Matrix of Operators
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Publication:4087813
DOI10.1137/0129015zbMath0324.47007OpenAlexW2121169751MaRDI QIDQ4087813
Publication date: 1975
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0129015
Theory of matrix inversion and generalized inverses (15A09) Spectrum, resolvent (47A10) Equations and inequalities involving linear operators, with vector unknowns (47A50)
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Rank equalities related to the generalized inverse \(A^{(2)}_{T,S}\) with applications ⋮ The block independence in the generalized inverse \(A_{T,S}(2)\) for some ordered matrices and applications ⋮ On the block independence in \(g\)-inverse and reflexive inner inverse of a partitioned matrix ⋮ Perturbation analysis of generalized saddle point systems ⋮ New representations of the group inverse of \(2 \times 2\) block matrices ⋮ On the Moore-Penrose pseudo-inversion of block symmetric matrices and its application in the graph theory ⋮ On g-inverses and the nonsingularity of a bordered matrix \(\begin{pmatrix} A&B\\ C&0\end{pmatrix}\) ⋮ The generalized Bott-Duffin inverse and its applications ⋮ Representations of generalized inverses of partitioned matrix involving Schur complement ⋮ Eight expressions for generalized inverses of a bordered matrix ⋮ On the independence of blocks of generalized inverses of bordered matrices ⋮ Splines and pseudo-inverses ⋮ Generalized inverses of partitioned matrices useful in statistical applications ⋮ On \(g\)-inverses of a bordered matrix: revisited ⋮ Perturbation bounds for constrained and weighted least squares problems
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