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鞍点问题迭代算法的进一步研究
  • 时间：0
  • 分类：O241[理学—计算数学;理学—数学]
  • 作者机构：[1]阜阳师范学院数学与计算科学学院,安徽阜阳236037, [2]安徽大学数学科学学院,安徽合肥230039
  • 相关基金：国家自然科学基金项目（11071079）; 安徽省自然科学基金（10040606Q47）资助; 安徽省高校省级自然科学研究重点项目（KJ2010A253）资助
作者： 王涛[1], 盛兴平[2]
关键词： 鞍点问题, 迭代方法, 收敛性, GSSOR-like算法, saddle point problems, iterative methods, convergence, GSSOR-like method
中文摘要：

通过引入新的加速变量,对解决鞍点问题的GSSOR-like算法进行了修正,得到了更一般的新的GSSOR-like算法（记作NGSSOR-like）,并研究了新算法收敛的充分必要条件。最后,通过对数值例子的求解表明,选择合适的参数后,NGSSOR-like算法比GSSOR-like算法具有更快的迭代速度和更少的迭代次数。

英文摘要：

By adding new accelerating parameters,the GSSOR-like method is modified for solving the saddle point problems,and the NGSSOR-like method is presented.Then the analysis of its convergence conditions is given.Finally,numerical results show that this method outperforms the old one.

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