Inverse positivity of perturbed tridiagonal \(M\)-matrices

DOI10.1016/j.laa.2008.12.008zbMath1165.15020OpenAlexW2008973331MaRDI QIDQ1014498

Shannon C. Kennedy, Ronald D. Haynes

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.12.008

zbMATH Keywords

perturbationToeplitz matrixSherman-Morisson formulainverse positivitytridiagonal \(M\)-matrixstrictly diagonally dominant

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

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• Persistently positive inverses of perturbed \(M\)-matrices
• Two-sided bounds on the inverses of diagonally dominant tridiagonal matrices
• On some properties of a tridiagonal and penta-diagonal matrix
• 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
• 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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