A structure preserving matrix factorization for solving general periodic pentadiagonal Toeplitz linear systems

作者：Jia, Jiteng; Jiang, Yaolin^*

来源：Computers & Mathematics with Applications, 2013, 66(6): 965-974.

DOI：10.1016/j.camwa.2013.06.023

• Periodic pentadiagonal Toeplitz matrix
• Sherman-Morrison-Woodbury formula
• Linear systems
• Matrix factorization
• Diagonally dominant

In the current article, a new algorithm for solving linear systems with the periodic pentadiagonal Toeplitz (PPT) coefficient matrix is presented. This algorithm is based on a structure preserving matrix factorization and Sherman-Morrison-Woodbury formula. Some numerical examples are given in order to illustrate the effectiveness of the proposed algorithms. All of the experiments are performed on a computer with the aid of programs written in MATLAB.

• 出版日期2013-10
• 单位西安交通大学