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一类矩阵的SSOR法的误差估计
ERROR ESTIMATE FOR SYMMETRIC SUCCESSIVE OVERRELAXATION SSOR METHOD OF A CERTAIN MATRICES
【摘要】 <正> 其中A=(aij)1N是N×N非奇异矩阵,且 D=diag(aii)是由A的对角元组成的对角矩阵;假定aii>0,记A为 A=D-G-H,其中G与H是严格下与上三角矩阵.于是,可将Jacobi迭代矩阵定义为
【Abstract】 Suppose Ax = b is a system of linear equations, where A is an N×N(N≥4) sy-mmetric and positive definite matrix. The associated Jacobi matrix B is arranged in sucha way that B=(0 RT R 0)We give an estimate for the error εm = x - xm in terms of the norms of δm=xm-xm-1, δm+1 - xm and their inner product, where x is the exact solution and xm is them th iteration vector obtained by the SSOR method.
【基金】 中国科学院科学基金
- 【文献出处】 计算数学 ,Mathematica Numerica Sinica , 编辑部邮箱 ,1987年01期
- 【被引频次】6
- 【下载频次】22