In chapter 2, we sets up the convergence theory of the alternating method for solving Hermitian positive definite systems of linear equations, and establishes the corresponding comparison theorem on its asymptotic convergence rate. 第二章首先介绍当系数矩阵是Hermitian正定矩阵时经典交替迭代法的收敛理论和相应的比较理论,同时我们给出了当分裂不同时对迭代渐进收敛率的影响。
In this paper we develop homogeneity theorem in frequency domain analysis to sinusoidal alternating current circuit by hybrid parameter matrix, and apply the theorem to the analysing and calculating of complex ladder networks. 本文运用混合变量法推导了正弦稳态交流电路中频域的齐性定理,并应用此定理对复杂的梯形电路进行了分析计算。
This paper investigates alternating iterative method and generalized alternating method for the solution of a large linear system, extend the convergence theorem and comparison theorem for generalized or alternating iterative method when the coefficient are Hermitian positive definite systems. 本文主要研究了大型线性方程组的交替迭代法及迭代法的各种变形,给出了当系数矩阵为Hermitian正定矩阵时各类迭代法的收敛原理及其相应的比较理论。