摘要
非奇H-矩阵作为一类特殊矩阵,在科学和工程计算中有着重要的应用.本文利用迭代系数构造正对角阵,给出了非奇H-矩阵的一组迭代判别法,并证明了其充分必要性,推广和改进了近期的一些结果.数值算例也说明了该组迭代判别法的有效性.
Nonsingular H-matrix is a special class of matrices which has important application in scientific and engineering computing. In this paper, we construct positive diagonal matrices by the method of selecting iterative coefficients, obtain a set of iterative criteria for nonsingu-lar H-matrices and then prove the necessity and sufficiency, and furthering latest discoveries. Effectiveness of such criteria is also justified by numerical examples.
出处
《数值计算与计算机应用》
CSCD
2015年第1期59-68,共10页
Journal on Numerical Methods and Computer Applications
基金
国家自然科学基金(10802068)资助项目
关键词
非奇H-矩阵
迭代算法
充要条件
nonsingular H-matrix
iterative algorithms
necessary and sufficient conditions
