Criteria for the nonsingularity of partitioned matrices

DOI10.1016/0377-0427(89)90301-4zbMath0687.15007OpenAlexW2058485295MaRDI QIDQ1262924

Tomasz Szulc

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90301-4

zbMATH Keywords

stabilitypositive definitenesssingular valuesnonsingularitypartitioned matricesdiagonal dominance theoremsEuclidean operator norms

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (2)

A contribution to the theory of P-matrices ⋮ On a criterion for the nonsingularity of complex matrices

Cites Work

• Some sufficient conditions for the non-degeneracy of matrices
• A Recurring Theorem on Determinants
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