A generalization of the SMW formula of operator \(A + Y G Z^*\) to the \(\{2 \}\)-inverse case
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Publication:2318987
DOI10.1155/2013/694940zbMath1470.47004OpenAlexW1534911135WikidataQ58916650 ScholiaQ58916650MaRDI QIDQ2318987
Publication date: 16 August 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/694940
Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)
Related Items (2)
Extension of the GSMW formula in weaker assumptions ⋮ Computing \(\{2,4\}\) and \(\{2,3\}\)-inverses by using the Sherman-Morrison formula
Cites Work
- A generalization of the Sherman-Morrison-Woodbury formula
- Representations for the Drazin inverse of \(2\times 2\) block-operator matrix with singular Schur complement
- Closedness of ranges of upper-triangular operators
- Generalized inverses. Theory and applications.
- Properties of the matrix \(A-XY^*\)
- On the invertibility of the operatorA-XB
- Updating the Inverse of a Matrix
- Norms of elementary operators
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
- Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix
- An Inverse Matrix Adjustment Arising in Discriminant Analysis
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