JOURNAL ARTICLE
Convergence And Comparison Theorems Of The Modified Gauss-Seidel Method
Year: 2014 Journal: Zenodo (CERN European Organization for Nuclear Research) Publisher: European Organization for Nuclear Research
Abstract
In this paper, the modified Gauss-Seidel method with the new preconditioner for solving the linear system Ax = b, where A is a nonsingular M-matrix with unit diagonal, is considered. The convergence property and the comparison theorems of the proposed method are established. Two examples are given to show the efficiency and effectiveness of the modified Gauss-Seidel method
with the presented new preconditioner.
Keywords:
Convergence (economics) Preconditioner Invertible matrix Property (philosophy) Linear system Unit (ring theory)
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