Open AccessThe alternate iterative Gauss-Seidel method for linear systems
Author(s) -
Bing-Yuan Pu,
Xia Yuan
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1411/1/012008
Subject(s) - gauss–seidel method , spectral radius , iterative method , convergence (economics) , mathematics , linear system , matrix (chemical analysis) , gauss , computer science , algorithm , mathematical optimization , mathematical analysis , physics , eigenvalues and eigenvectors , chemistry , quantum mechanics , chromatography , economics , economic growth
In this paper, we present an alternate iterative Gauss-Seidel method for linear systems. The spectral radius of the iteration matrix and the convergence of the proposed method are discussed. Finally, the numerical examples are provided to confirm our theoretical analysis and demonstrate the efficiency of the new method.