An inversion algorithm for a banded matrix

DOI10.1016/j.camwa.2009.07.069zbMath1189.15007OpenAlexW2042863153MaRDI QIDQ979830

Rui-Sheng Ran, Ting-Zhu Huang

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.069

zbMATH Keywords

inversetridiagonal matrixbanded matrixpentadiagonal matrixthe computing complexitytwisted decomposition

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (3)

Estimation and inference for precision matrices of nonstationary time series ⋮ A probing method for computing the diagonal of a matrix inverse ⋮ Two symbolic algorithms for solving general periodic pentadiagonal linear systems

Cites Work

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• Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix
• On band matrices and their inverses
• A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices
• Decay Rates of the Inverse of Nonsymmetric Tridiagonal and Band Matrices
• Matrices with banded inverses: inversion algorithms and factorization of Gauss-Markov processes
• The inverse of a tridiagonal matrix

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