Some results on determinants and inverses of nonsingular pentadiagonal matrices

DOI10.1016/j.cam.2014.03.016zbMath1297.15004OpenAlexW2010928371MaRDI QIDQ457768

J. Abderramán Marrero, Venancio Tomeo

Publication date: 29 September 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.03.016

zbMATH Keywords

computational complexityinverse matrixdeterminantstructured matrixpentadiagonal matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (4)

A tridiagonalization-based numerical algorithm for computing the inverses of \((p, q)\)-pentadiagonal matrices ⋮ Editorial: Recent trends on computational and mathematical methods in science and engineering (CMMSE) ⋮ Finite difference/generalized Hermite spectral method for the distributed-order time-fractional reaction-diffusion equation on multi-dimensional unbounded domains ⋮ Finite difference/Hermite-Galerkin spectral method for multi-dimensional time-fractional nonlinear reaction-diffusion equation in unbounded domains

Uses Software

• mctoolbox

Cites Work

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• A note on the nullity theorem
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• A note on ``A fast numerical algorithm for the determinant of a pentadiagonal matrix
• A fast algorithm for solving diagonally dominant symmetric pentadiagonal Toeplitz systems
• Non-symbolic algorithms for the inversion of tridiagonal matrices
• On new algorithms for inverting Hessenberg matrices
• On the characteristic polynomial, eigenvectors and determinant of a pentadiagonal matrix
• Inverses of generalized Hessenberg matrices
• A recursive algorithm for determining the eigenvalues of a quindiagonal matrix
• A recursive relation for the determinant of a pentadiagonal matrix

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