On a structure-preserving matrix factorization for the determinants of cyclic pentadiagonal Toeplitz matrices

DOI10.1007/s10910-019-01053-wOpenAlexW2964767802MaRDI QIDQ2322258

Ji-Teng Jia

Publication date: 4 September 2019

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

Full work available at URL: https://doi.org/10.1007/s10910-019-01053-w

zbMATH Keywords

determinantsToeplitz matricesmatrix factorizationcyclic pentadiagonal matricesthree-term recurrencecyclic tridiagonal matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical linear algebra (65Fxx) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (3)

Analytic determinants and inverses of Toeplitz and Hankel tridiagonal matrices with perturbed columns ⋮ A block diagonalization based algorithm for the determinants of block \(k\)-tridiagonal matrices ⋮ Inverse properties of a class of seven-diagonal (near) Toeplitz matrices

Uses Software

• Matlab

Cites Work

• An algorithm for solving nonsymmetric penta-diagonal Toeplitz linear systems
• Inversion of \(k\)-tridiagonal matrices with Toeplitz structure
• Mathematics for the Analysis of Algorithms.
• An elementary algorithm for computing the determinant of pentadiagonal Toeplitz matrices
• A fast and reliable algorithm for evaluating \(n\)th order pentadiagonal determinants
• Symbolic algorithm for inverting cyclic pentadiagonal matrices recursively - derivation and implementation
• On five-diagonal Toeplitz matrices and orthogonal polynomials on the unit circle
• On a homogeneous recurrence relation for the determinants of general pentadiagonal Toeplitz matrices
• On determinants of cyclic pentadiagonal matrices with Toeplitz structure
• A fast elementary algorithm for computing the determinant of Toeplitz matrices
• Symbolic algorithm for solving cyclic penta-diagonal linear systems
• On the determinant evaluation of quasi penta-diagonal matrices and quasi penta-diagonal Toeplitz matrices
• A fast numerical algorithm for the determinant of a pentadiagonal matrix
• A general 4th-order PDE method to generate Bézier surfaces from the boundary
• An Efficient Method for Second Order Boundary Value Problems with Two Point Boundary Conditions
• Pent: A periodic pentadiagonal systems solver
• Numerical algorithm for the determinant evaluation of cyclic pentadiagonal matrices with Toeplitz structure
• Unnamed Item
• Unnamed Item

This page was built for publication: On a structure-preserving matrix factorization for the determinants of cyclic pentadiagonal Toeplitz matrices