Tridiagonal Iterative Method for Linear Systems
Abstract
In this study, we propose a tridiagonal iterative method to solve linear systems based on dominant
tridiagonal entries. For solving a tridiagonal system, we incorporated the proposed method with Thomas algorithm
in each step of the method. Moreover, this paper presents a comprehensive theoretical analysis, wherein we choose
two well-known methods for comparison i.e., the Gauss-Seidel and Jacobi. The numerical experiment shows that
our proposed iterative method is a feasible and effective method than the studied methods.
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