Almost Sharp Bounds for the Componentwise Distance to the Nearest Singular Matrix

DOI10.1080/03081089708818494zbMath0877.15030OpenAlexW2093213293MaRDI QIDQ4342149

Siegfried Michael Rump

Publication date: 10 December 1997

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089708818494

zbMATH Keywords

componentwise distancenearest singular matrixBauer-Skeel condition number

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (8)

Regularity radius and real eigenvalue range ⋮ A short note on the ratio between sign-real and sign-complex spectral radius of a real square matrix ⋮ Theorems of Perron-Frobenius type for matrices without sign restrictions ⋮ Inverse of a fuzzy matrix of fuzzy numbers ⋮ On sign-real spectral radii and sign-real expansive matrices ⋮ A sharp version of Bauer-Fike's theorem ⋮ Tight Bounds on the Radius of Nonsingularity ⋮ Structured perturbations and symmetric matrices

Cites Work

• Checking robust nonsingularity is NP-hard
• Matrix Analysis
• The Componentwise Distance to the Nearest Singular Matrix
• Unnamed Item

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