求解奇异线性方程组的双逐次投影法  

Two Dimensional Double Successive Projection Method for Solving Singular Linear Equations

作　　者：孟宪亮[1] 

机构地区：[1]温州大学数学与信息科学学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2009年第5期27-33,共7页Journal of Wenzhou University(Natural Science Edition)

摘　　要：用双逐次投影迭代法来求解奇异线性方程组,当线性方程组的系数矩阵是对称半正定时,给出了不同情形时有关参量的选取以及相应的算法,并就收敛结果分别与雅可比迭代法和Gauss-Seidel迭代法进行了比较,数值结果表明,该方法对求解奇异线性方程组是很有效的.In the discussion of issue of using two dimensional double successive projection method to solve singular linear equations, parameters of the different circumstances as well as the appropriate algorithm were given when the coefficient matrix was symmetric semidefinite positive definite. And the results of convergence were compared with the Jacobian iterative method and Gauss-Seidel iteration method. The results showed that the method for solving singular linear systems is effective

关 键 词：双逐次投影法 奇异线性方程组 内积 对称半正定矩阵 

分 类 号：O24[理学—计算数学]