【摘要】 本文将改进的Gauss-Seidel迭代法应用于一类有很强应用背景的矩阵-H-矩阵及其比较矩阵,在较目前参考文献更一般的分裂条件下,得到相应的收敛结果及谱半径的比较结果,进而比较了其收敛速度的大小。所用方法不同于以往有关结论,并改进了目前已有相关结论。更多还原

【Abstract】 We apply the improved Gauss-Seidel iterative method to a widely used matrix class - H-matrix and its comparison matrix.Under more general splitting conditions,we present the corre- sponding convergent results and the comparison results of the spectral radius.The convergent rates are also compared.更多还原