An algorithm for solving nonsymmetric penta-diagonal Toeplitz linear systems

DOI10.1016/j.amc.2014.06.104zbMath1336.65027OpenAlexW1980165510MaRDI QIDQ278286

Shao-Liang Zhang, Tomohiro Sogabe, Lei Du

Publication date: 2 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.104

zbMATH Keywords

Toeplitz matrixpenta-diagonal matrixnonsymmetric linear systems

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (4)

On solving pentadiagonal linear systems via transformations ⋮ A fast method for solving quasi-pentadiagonal Toeplitz linear systems and its application to the Lax-Wendroff scheme ⋮ On a homogeneous recurrence relation for the determinants of general pentadiagonal Toeplitz matrices ⋮ On a structure-preserving matrix factorization for the determinants of cyclic pentadiagonal Toeplitz matrices

Cites Work

• An explicit formula for the determinant of a skew-symmetric pentadiagonal Toeplitz matrix
• A new algorithm for solving nearly penta-diagonal Toeplitz linear systems
• A fast algorithm for solving a Toeplitz system
• An elementary algorithm for computing the determinant of pentadiagonal Toeplitz matrices
• A fast numerical algorithm for the inverse of a tridiagonal and pentadiagonal matrix
• On the inverse of a general pentadiagonal matrix
• A fast algorithm for solving diagonally dominant symmetric pentadiagonal Toeplitz systems
• The use of the factorization of five-diagonal matrices by tridiagonal Toeplitz matrices
• A fast algorithm for solving Toeplitz penta-diagonal systems
• A fast numerical algorithm for the determinant of a pentadiagonal matrix
• Relative error propagation in the recursive solution of linear recurrence relations
• Fast solution of unsymmetric banded Toeplitz systems by means of spectral factorizations and Woodbury's formula

This page was built for publication: An algorithm for solving nonsymmetric penta-diagonal Toeplitz linear systems