TY - JOUR
ID - 211
TI - Comparison results on the preconditioned mixed-type splitting
iterative method for M-matrix linear systems
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Mohseni Moghadam, M.
AU - Panjeh Ali Beik, Fatemeh
AD - Shahid Bahonar University of Kerman
AD - Vali-Asr University of Rafsanjan
Y1 - 2012
PY - 2012
VL - 38
IS - 2
SP - 349
EP - 367
KW - Linear systems
KW - Mixed-type splitting iterative method
KW - Preconditioned matrix
KW - M-matrix
DO -
N2 - Consider the linear system Ax=b where the coefficient matrix A is an M-matrix. In the present work, it is proved that the rate of convergence of the Gauss-Seidel method is faster than the mixed-type splitting and AOR (SOR) iterative methods for solving M-matrix linear systems. Furthermore, we improve the rate of convergence of the mixed-type splitting iterative method by applying a preconditioned matrix. Comparison theorems show that the rate of convergence of the preconditioned Gauss-Seidel method is faster than the preconditioned mixed-type splitting and AOR (SOR) iterative methods. Finally, some numerical examples are presented to illustrate the reality of our comparison theorems.
UR - http://bims.iranjournals.ir/article_211.html
L1 - http://bims.iranjournals.ir/article_211_dc5b9e9e1b2a179a471b622100c26a58.pdf
ER -