Ting Zhou, Shi Guang Zhang
Abstract
In this paper, some comparison results between Jacobi and USSOR iteration for solving nonsingular linear systems are presented. It is showed that spectral radius of Jacobi iteration matrix B is less than that of USSOR iterative matrix under some conditions. A numerical example is also given to illustrate our results.
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In this paper, some comparison results between Jacobi and USSOR iteration for solving nonsingular linear systems are presented. It is showed that spectral radius of Jacobi iteration matrix B is less than that of USSOR iterative matrix under some conditions. A numerical example is also given to illustrate our results.
Key concepts: Jacobi method, Jacobi eigenvalue algorithm, Spectral radius, Invertible matrix, Iterative method, Applied mathematics, Mathematics, Matrix (chemical analysis)