doi: 10.17706/ijapm.2023.13.3.34-43
On the Solution of an Almost Tridiagonal Linear Equations
- 1 Department of Mechatronics, Foshan University, Guangdong, China and Guangdong College of Applied Science and Technology, Guangdong, China
- 2 Shenzhen Smoore Technology Co., Ltd., Guangdong, China.
Abstract
This paper makes an investigation on solving a kind of almost tridiagonal linear equations. By means of exploring more general a system of the Top-Bottom-Bordered Tridiagonal (TBBT) linear equations, the paper obtains an algorithm that costs less than the LU decomposition approach to solve the almost tridiagonal linear equations. Detail mathematical reasoning is presented to derive and analyze the algorithm. Numerical experiments show the algorithm can be applied to engineering application within expectation.
Keywords
- Tridiagonal linear equations; Woodbury matrix identity
- matrix Inverse
- engineering computation
How to Cite
Xingbo Wang and Jue Wang, "On the Solution of an Almost Tridiagonal Linear Equations," International Journal of Applied Physics and Mathematics, vol. 13, no. 3, pp. 34-43, 2023. https://doi.org/ 10.17706/ijapm.2023.13.3.34-43
Copyright & License
Copyright © 2023 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).