Theory and algorithm of the inversion method for pentadiagonal matrices

DOI10.1007/s10910-011-9915-3zbMath1317.65079OpenAlexW2137193375MaRDI QIDQ424192

N. A. Baykara, M. E. Kanal, Metin Demiralp

Publication date: 31 May 2012

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-011-9915-3

zbMATH Keywords

difference equationsdirect methods for linear systems and matrix inversionmatrices, determinants

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (9)

An efficient numerical algorithm for the determinant of a cyclic pentadiagonal Toeplitz matrix ⋮ A tridiagonalization-based numerical algorithm for computing the inverses of \((p, q)\)-pentadiagonal matrices ⋮ A novel algorithm for solving quasi penta-diagonal linear systems ⋮ Numerical algorithms for the determinant evaluation of general Hessenberg matrices ⋮ On the determinant evaluation of quasi penta-diagonal matrices and quasi penta-diagonal Toeplitz matrices ⋮ A structure-preserving algorithm for linear systems with circulant pentadiagonal coefficient matrices ⋮ Two symbolic algorithms for solving general periodic pentadiagonal linear systems ⋮ Symbolic algorithms for the inverses of general \(k\)-tridiagonal matrices ⋮ Inverse properties of a class of seven-diagonal (near) Toeplitz matrices

Cites Work

• A fast numerical algorithm for the inverse of a tridiagonal and pentadiagonal matrix
• On the inverse of a general pentadiagonal matrix
• Analytical inversion of general tridiagonal matrices
• Perturbation method with triangular propagators and anharmonicities of intermediate strength
• Unnamed Item

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