Title of article :
On structure-oriented hybrid two-stage iteration methods for the large and sparse blocked system of linear equations
Author/Authors :
Zheng، نويسنده , , Yi and Guo، نويسنده , , Wenbin and Zhao، نويسنده , , Jianli and Wang، نويسنده , , Nan، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Abstract :
In this paper, we first present a class of structure-oriented hybrid two-stage iteration methods for solving the large and sparse blocked system of linear equations, as well as the saddle point problem as a special case. And the new methods converge to the solution under suitable restrictions, for instance, when the coefficient matrix is positive stable matrix generally. Numerical experiments for a model generalized saddle point problem are given, and the results show that our new methods are feasible and efficient, and converge faster than the Classical Uzawa Method.
Keywords :
Blocked systems of linear equations , Two-stage iteration method , Matrix multisplitting , Saddle point problem , The classical Uzawa method , Structure-oriented
Journal title :
Journal of Computational and Applied Mathematics
Journal title :
Journal of Computational and Applied Mathematics