Explicit inverse of near Toeplitz pentadiagonal matrices related to higher order difference operators

DOI10.1016/j.rinam.2021.100164zbMath1472.15004OpenAlexW3174146466MaRDI QIDQ1979979

Yerlan Amanbek, Bakytzhan Kurmanbek, Yogi A. Erlangga

Publication date: 3 September 2021

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2021.100164

zbMATH Keywords

finite differencenonlinear beam equationpentadiagonal matricesfixed point methodexplicit formula

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Difference operators (39A70) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (1)

Inverse properties of a class of seven-diagonal (near) Toeplitz matrices

Cites Work

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• A theorem on inverses of tridiagonal matrices
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• Inverses of banded matrices
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• Explicit determinantal formula for a class of banded matrices
• A note on computing the inverse and the determinant of a pentadiagonal Toeplitz matrix
• A note on inversion of Toeplitz matrices
• Exact inverses of certain band matrices
• Five-Diagonal Toeplitz Determinants an Their Relation to Chebyshev Polynomials
• Explicit inversion of Band Toeplitz matrices by discrete Fourier transform
• A recursive relation for the determinant of a pentadiagonal matrix
• Inversion of certain symmetric band matrices

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