Two symbolic algorithms for solving general periodic pentadiagonal linear systems

In this paper, we present two novel symbolic computational algorithms to solve periodic pentadiagonal (PP) linear systems. These two algorithms are based on a special matrix decomposition and the use of any fast pentadiagonal linear solver, respectively. Some numerical examples are given in order to...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) Vol. 69; no. 9; pp. 1020 - 1029
Main Authors: Jia, Jiteng, Jiang, Yaolin
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.05.2015
Subjects:
Algorithms
Computer programs
Computer simulation
Doolittle LU decomposition
Linear systems
Mathematical models
Matlab
Matrix decomposition
Pentadiagonal linear solver
Periodic pentadiagonal matrices
Polypropylenes
Solvers
Linear systems
Doolittle LU decomposition
Periodic pentadiagonal matrices
Matrix decomposition
Pentadiagonal linear solver
ISSN:0898-1221, 1873-7668
Online Access:Get full text
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Summary:In this paper, we present two novel symbolic computational algorithms to solve periodic pentadiagonal (PP) linear systems. These two algorithms are based on a special matrix decomposition and the use of any fast pentadiagonal linear solver, respectively. Some numerical examples are given in order to demonstrate the performance of the proposed algorithms and their competitiveness with existing algorithms. All of the experiments are performed on a computer workstation with the aid of programs written in MATLAB.
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ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2015.03.009