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

DOI10.1016/j.laa.2010.08.012zbMath1206.15024OpenAlexW1969621895MaRDI QIDQ609487

Sumit K. Garg

Publication date: 1 December 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.08.012

zbMATH Keywords

tridiagonal matrix\(M\)-matricesinverse positivity

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

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• Persistently positive inverses of perturbed \(M\)-matrices
• Inverse positivity of perturbed tridiagonal \(M\)-matrices
• Two-sided bounds on the inverses of diagonally dominant tridiagonal matrices
• Inverses of Matrices $\{a_{ij}\}$ which Satisfy $a_{ij} = 0$ for $j > i+p$.
• Decay Rates for Inverses of Band 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
• Some improvements for two-sided bounds on the inverse of diagonally dominant tridiagonal matrices

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