求解奇异鞍点问题的参数化预条件HSS方法

摘要

利用参数化预条件HSS迭代方法对奇异的大型稀疏线性系统进行了求解，分析了该方法的半收敛性和参数的最优选取问题，并且与其它方法进行了比较。数值实验结果表明：参数化预条件 HSS迭代方法在求解奇异鞍点问题时比其它方法更有效。%In this paper, the HSS iterative method is used to solve the large-scale singular sparse linear system by means of the parameterized precondition. The method of the semi-convergence and the optimal parameter selection problem is analyzed and meanwhile compared with other methods. Numerical experimental results show that the parameterized preconditioned HSS iterative method in the field of the singular saddle point problemsolution is more effective than other methods.