%0 Journal Article %T Comparison theorem with modified Gauss-Seidel and modified Jacobi methods by M-matrix %A Tofigh Allahviranloo %A Raziyeh Ghasemi Moghaddam %A M. Afshar %J Journal of Interpolation and Approximation in Scientific Computing %D 2012 %I International Scientific Publications and Consulting Services (ISPACS) %R 10.5899/2012/jiasc-00017 %X In the current work, the comparison theorem with modified Gauss-Seidel method and modified Jacobi method, are proved in detail and superiority of MGS method is illustrated by solving some numerical examples. %K "">Preconditioned linear systems %K M-matrix %K preconditioning %K Comparison Theorem %K Modified Gauss-Seidel method (MGS) %K Modified Jacobi method (MJ)"/> %U http://www.ispacs.com/journals/jiasc/2012/jiasc-00017/article.pdf