关于单调矩阵并行多分裂迭代法的收敛性  

ON THE CONVERGENCE OF MULTI-SPLITTING ITEKATIVE METHODS FOR M-MATRICES

作　　者：刘仲云 

出　　处：《湘潭矿业学院学报》1995年第3期63-66,共4页Journal of Xiangtan Mining Institute

基　　金：煤炭部青年科学基金

摘　　要：本文中关于单调矩阵Ａ∈Ｒ￣（ｎｎ）的多分裂过程被视为某一个块矩阵Ａ￣（Ｋｎ，Ｋｎ）的一般迭代过程，这里，Ｋ为处理机的台数，标准的收敛结果被用来推广多分裂迭代法的收敛定理，并按照单调范数建立了多分裂方法之间的比较定理。参３。In this paper,we study the monotonematrix case. The multisplitting processfor A=R￣(n.n) is recast as an ordinary iterative process for a certain block matrix A∈R￣(n.n)、where K is the number of processors,and standard convergence results are used to developa convcrgence theory for multisplitting iterative methods where A is a monotone matrix.comparison results between multisplitting methods are established in tems of monotone,4refs.

关 键 词：单调矩阵 单调范数 PERRON向量 多分裂 并行计算 

分 类 号：O241.6[理学—计算数学]