Improved bounds for the inverses of diagonally dominant tridiagonal matrices

DOI10.1016/j.laa.2018.03.020zbMath1418.65063OpenAlexW2794241444MaRDI QIDQ2002808

Ezequiel Dratman, Guillermo Matera

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.03.020

zbMATH Keywords

boundsinversesreal tridiagonal matrixsign distributiondiagonally-dominant matrixsecond-order finite-difference discretization

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Direct numerical methods for linear systems and matrix inversion (65F05)

Uses Software

• mctoolbox

Cites Work

• On the inverses of general tridiagonal matrices
• Estimates for the inverse of tridiagonal matrices arising in boundary- value problems
• On inverses of Hessenberg matrices
• Two-sided bounds on the inverses of diagonally dominant tridiagonal matrices
• Complexity of nonlinear two-point boundary-value problems
• Inversion of general tridiagonal matrices
• Upper and lower bounds for inverse elements of finite and infinite tridiagonal matrices
• Matrix Analysis
• Analytical inversion of general tridiagonal matrices
• Accuracy and Stability of Numerical Algorithms
• Some improvements for two-sided bounds on the inverse of diagonally dominant tridiagonal matrices
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