A direct method for solving block circulant banded system of linear equations

作者：Lin Fuyong^*

来源：Applied Mathematics and Computation, 2014, 232: 1269-1276.

DOI：10.1016/j.amc.2014.01.099

• Block circulant matrix
• Linear system of equations
• Circulant structure
• Coding theory
• Block banded matrix

A direct method to solve block circulant banded system of linear equations is presented in the paper. The method applies the kernel solution of linear equations with circulant banded matrix proposed by Fuyong (2011) [17]. By using the kernel solution of linear equations with block circulant banded matrix, we obtain the boundary equations of the linear equations, and by solving the boundary equations of the linear systems, we finally get the solution of the linear equations. The proposed method has great advantage in getting solutions of linear systems with block circulant banded matrix coefficient matrices. An example is presented in the paper.

• 出版日期2014-4-1
• 单位华侨大学