Expressions for the Moore-Penrose inverse of block matrices involving the Schur complement
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Publication:2261547
DOI10.1016/j.laa.2015.01.003zbMath1310.15007OpenAlexW2021621189MaRDI QIDQ2261547
Publication date: 6 March 2015
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2015.01.003
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (13)
Norm Estimations for the Moore-Penrose Inverse of the Weak Perturbation of Hilbert C ∗-Module Operators ⋮ Norm estimations for the Moore-Penrose inverse of the weak perturbation of matrices ⋮ Unbounded WCT operators and applications to linear equations ⋮ On the locality of the natural gradient for learning in deep Bayesian networks ⋮ On the Moore-Penrose pseudo-inversion of block symmetric matrices and its application in the graph theory ⋮ Representations and norm estimations for the Moore–Penrose inverse of multiplicative perturbations of matrices ⋮ Canonical correlation-based model selection for the multilevel factors ⋮ Generalization of the Sherman-Morrison-Woodbury formula involving the Schur complement ⋮ Expression for the multiplicative perturbation of the Moore–Penrose inverse ⋮ Generalization of the Moore-Penrose inverse ⋮ Inversion and pseudoinversion of block arrowhead matrices ⋮ Multiplicative perturbations of matrices and the generalized triple reverse order law for the Moore-Penrose inverse ⋮ Moore–Penrose inverse of tensors via Einstein product
Cites Work
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- Singular Value Decomposition and the Moore–Penrose Inverse of Bordered Matrices
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- Representations of the Moore–Penrose inverse for a class of 2-by-2 block operator valued partial matrices
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- A Method for Computing the Generalized Inverse of a Matrix
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