解高阶Hermitian矩阵特征值问题的并行块消去迭代法  

THE RARALLEL BLOCK ELIMINATION ALGORITHM FOR SOLVING HERMITIAN MATRIX LARGE EIGENVALUE PROBLEMS

作　　者：孙家昶[1] 邓健新[1] 曹建文[1] 

机构地区：[1]中国科学院软件研究所

出　　处：《数值计算与计算机应用》1997年第2期125-134,共10页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金;国家基础性攀登项目

摘　　要：A parallel block elimination algorithm for solving Hermitian matrir large eigen-value problems was provided in this paper. The algorithm prossess crude grain parallel properties. The high-quality black-bos for solving matrix eigenvalue problems, multi-processors and it’s local memory can be use effectively in this algorithm. It can be inplemented on high-performance distributed memory parallel computer.The convergencet error analysis of the algorithm, and parallel design are presented.A part of the numerical results are listed in this paper.A parallel block elimination algorithm for solving Hermitian matrir large eigen-value problems was provided in this paper. The algorithm prossess crude grain parallel properties. The high-quality black-bos for solving matrix eigenvalue problems, multi-processors and it's local memory can be use effectively in this algorithm. It can be inplemented on high-performance distributed memory parallel computer.The convergencet error analysis of the algorithm, and parallel design are presented.A part of the numerical results are listed in this paper.

关 键 词：矩阵特征值问题 并行算法 收敛性 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]