曲靖师范学院学报
麯靖師範學院學報
곡정사범학원학보
JOURNAL OF QUJING NORMAL COLLEGE
2011年
3期
1-7
,共7页
BAOR迭代法%块预条件因子%预条件BAOR迭代法%Z-矩阵%M-矩阵
BAOR迭代法%塊預條件因子%預條件BAOR迭代法%Z-矩陣%M-矩陣
BAOR질대법%괴예조건인자%예조건BAOR질대법%Z-구진%M-구진
BAOR iterative method%block preconditioner%preconditioned BAOR iterative method%Z-matrix%M-matrix
为求解线性方程组Ax=b,人们提出了许多预条件因子,并给出对应的预条件方法.给出两个新预条件因子,在系数矩阵为Z-矩阵的条件下,探讨对应预条件AOR迭代法的收敛性质和收敛速度.最后,依据给出数值算例,验证所得定理.
為求解線性方程組Ax=b,人們提齣瞭許多預條件因子,併給齣對應的預條件方法.給齣兩箇新預條件因子,在繫數矩陣為Z-矩陣的條件下,探討對應預條件AOR迭代法的收斂性質和收斂速度.最後,依據給齣數值算例,驗證所得定理.
위구해선성방정조Ax=b,인문제출료허다예조건인자,병급출대응적예조건방법.급출량개신예조건인자,재계수구진위Z-구진적조건하,탐토대응예조건AOR질대법적수렴성질화수렴속도.최후,의거급출수치산례,험증소득정리.
In order to solve the linear system Ax=b,many preconditioned iterative methods with different preconditioners have been proposed by researchers.In this paper,we propose two new preconditioners,which are applied to BAOR iterative method.Meanwhile,some convergence properties and comparison results are presented when the coefficient matrix A is a Z-matrix.Furthermore,numerical examples are given to illustrate our results.
