在双严格占优矩阵条件下，给出了相容矩阵范数的一个上界，并以此为基础，得到了线性方程组求解时的AOR迭代法的误差估计式。

A upper bound with consistent matrix norm and the estimate for error of AOR iterative method for solving linear equation system, which based on the doubly diagonal dominance, are presented.

youdao

本文讨论以矩阵为变量的线性方程组，给出相容性的充要条件。

This paper deals with the system of linear equations with matrix variables and gives the sufficient and necessary condition of consistency.

youdao

本文针对变量数与方程数不一致的相容非线性方程组(CNLE)，先给出拟牛顿(qn)法。

In this paper, a quasi-Newtonian (QN) method for consistent nonlinear equations (CNLE), which number of equations may be unidentified with the number of variables, is given firstly.

youdao