改进的Gauss-Seidel迭代法对H-矩阵的收敛性定理
Convergence of the improving modified Gauss-Seidelmethod for H-matrices
-
摘要: 1997年,Kohno等人对一类非奇异对角占优Z-矩阵的Gauss-Seidel迭代法作出了改进,这种方法被称为IMGS方法.本文考虑对一类应用更广泛的矩阵——H-矩阵的Gauss-Seidel迭代法做出改进,得到了收敛性结果,并比较了参数αi与SOR方法的参数ω的选择范围Abstract: In 1997,Kohno et al.have reported the improving modified Gauss-Seidel method for a non-singular diagonally dominant Z-matrices,which was referred to as the IMGS method.It was presented the convergent theorems of the IMGS method for the widely used matrix class-H-matrices as well as compare the range of parameterswith the parameter αi of the SOR iterative method.