Persistently positive inverses of perturbed \(M\)-matrices

DOI10.1016/j.laa.2006.12.006zbMath1124.15017OpenAlexW1972195411MaRDI QIDQ875029

Ronald D. Haynes, Manfred R. Trummer, Shannon C. Kennedy

Publication date: 10 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.12.006

zbMATH Keywords

diagonal and rank-1 perturbationsnonnegative inversetridiagonal \(M\)-matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (2)

The inverse positivity of perturbed tridiagonal \(M\)-matrices ⋮ Inverse positivity of perturbed tridiagonal \(M\)-matrices

Cites Work

• Two-sided bounds on the inverses of diagonally dominant tridiagonal matrices
• Block Preconditioning for the Conjugate Gradient Method
• Inverses of Matrices $\{a_{ij}\}$ which Satisfy $a_{ij} = 0$ for $j > i+p$.
• Decay Rates for Inverses of Band Matrices
• A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices
• Inverses of Band Matrices and Local Convergence of Spline Projections
• Decay Rates of the Inverse of Nonsymmetric Tridiagonal and Band Matrices
• Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix
• Note on Bounds for Determinants with Dominant Principal Diagonal
• Some improvements for two-sided bounds on the inverse of diagonally dominant tridiagonal matrices
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