昆明学院学报
昆明學院學報
곤명학원학보
JOURNAL OF KUNMING UNIVERSITY
2008年
4期
3-7
,共5页
线性方程组%Gauss-Seidel迭代方法%H-矩阵%预条件因子%收敛性
線性方程組%Gauss-Seidel迭代方法%H-矩陣%預條件因子%收斂性
선성방정조%Gauss-Seidel질대방법%H-구진%예조건인자%수렴성
linear systems%Gauss-Seidel iterative method%H-matrix%preconditioner%convergence
给出了解线性方程组Ax=b的一个新的预条件因子P.应用Gauss-Seidel迭代格式于预条件线性方程组PAx=Pb,并证明了当矩阵A为H-矩阵时,此预条件Gauss-Seidel方法是收敛的.最后,数值算例说明文中所给预条件Gauss-Seidel方法是有效的.
給齣瞭解線性方程組Ax=b的一箇新的預條件因子P.應用Gauss-Seidel迭代格式于預條件線性方程組PAx=Pb,併證明瞭噹矩陣A為H-矩陣時,此預條件Gauss-Seidel方法是收斂的.最後,數值算例說明文中所給預條件Gauss-Seidel方法是有效的.
급출료해선성방정조Ax=b적일개신적예조건인자P.응용Gauss-Seidel질대격식우예조건선성방정조PAx=Pb,병증명료당구진A위H-구진시,차예조건Gauss-Seidel방법시수렴적.최후,수치산례설명문중소급예조건Gauss-Seidel방법시유효적.
A new preconditioner P for solving linear system Ax=b is presented. We apply Gauss-Sei-del iterative schemes to the preconditioned linear system PAx=Pb and prove that the preconditioned Gauss-Seidel method with the new preconditioner is convergence when A is an H-matrix. Finally, ef-fectiveness of the new preconditioner Gauss-Seidel method is shown by a numerical example.
