Inverting the sum of two singular matrices

DOI10.1016/J.RINAM.2024.100463zbMATH Open1544.15004MaRDI QIDQ6568898

Sofia Eriksson, Jonas Nordqvist

Publication date: 8 July 2024

Published in: Results in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

matrix inversionrank modificationperturbed singular matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Title not available (Why is that?)
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• A generalization of the Sherman-Morrison-Woodbury formula
• Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
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• Inverses of SBP-SAT finite difference operators approximating the first and second derivative
• Analysis of the order of accuracy for node-centered finite volume schemes
• On Deriving the Inverse of a Sum of Matrices
• On the Inverse of the Sum of Matrices
• A Sherman–Morrison–Woodbury Identity for Rank Augmenting Matrices with Application to Centering
• The Sherman–Morrison–Woodbury formula for the Moore–Penrose metric generalized inverse
• Summation-by-Parts Approximations of the Second Derivative: Pseudoinverse and Revisitation of a High Order Accurate Operator
• When Does Rank(A+B)=Rank(A)+Rank(B)?

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