Some equivalent conditions for block two-by-two matrices to be nonsingular

DOI10.1016/j.amc.2014.10.047zbMath1338.15037OpenAlexW2058209093MaRDI QIDQ298570

Hongxing Wang

Publication date: 21 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.10.047

zbMATH Keywords

rankblock \(2\times 2\) matrixnonsingularity

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Inverse problems in linear algebra (15A29)

Cites Work

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• Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks
• Multiple limit point bifurcation
• Perturbation theory for the Eckart-Young-Mirsky theorem and the constrained total least squares problem
• Generalized inverses. Theory and applications.
• On nonsingularity of block two-by-two matrices
• Numerical solution of saddle point problems
• The Smallest Perturbation of a Submatrix which Lowers the Rank and Constrained Total Least Squares Problems
• Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems
• The associated Schur complements of M = [A B/C D]

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