预条件I+S的SSOR迭代法及比较定理  

Convergence Theorem for SSOR Iterative Method with Precondition I+S

作　　者：尤晓琳 YOU Xiaolin(School of Basic Science,Zhengzhou Institute of Engineering and Technology,Zhengzhou 450044,China)

机构地区：[1]郑州工程技术学院基础科学学院

出　　处：《河南教育学院学报（自然科学版）》2019年第3期1-3,共3页Journal of Henan Institute of Education(Natural Science Edition)

摘　　要：在古典SOR迭代法和SSOR迭代法的基础上,提出预条件P=I+S下的SSOR迭代法,并在系数矩阵为非奇异M-矩阵的情况下,给出比较定理.Based on the classical SOR iterative method and SSOR iterative method, and on the basis of the conditions of I+S , the SSOR iterative method is proposed, and in the coefficient matrix of a nonsingular M -matrix, the comparison theorem is given.

关 键 词：预条件 收敛性 SOR迭代法 SSOR迭代法 非奇异M-矩阵 

分 类 号：O241.6[理学—计算数学]