看到徐文焕同志的论文,觉得文中所述的一次传播法确是现有解五项方程组的有效方法,原文作者已在该文第五节叙述了方法的推广。笔者拟从数学方面对一次传播法的实质作一般性的论述,从而使一次传播法可以应用于更为广泛的结构力学问题,郎具有任何形式的对称方程组的解法问题。 (一)由线性代数理论可知,任何对称矩阵A=[a_(ij)]可分解为一个下三角矩阵、一个对角矩阵和一个上三角矩阵之乘积: Seeing Comrade Xu Wenhuan’s paper, I feel that the one-off communication method described in the article is indeed an effective method for solving the five equations. The original author has already described the promotion of the method in the fifth section of the article. The author intends to give a general discussion of the nature of the primary dissemination method from the perspective of mathematics, so that the primary propagation method can be applied to a wider range of structural mechanics problems. Lang has the problem of solving any form of symmetric equations. (a) From linear algebra theory, it can be known that any symmetric matrix A=[a_(ij)] can be decomposed into a product of a lower triangular matrix, a diagonal matrix, and an upper triangular matrix: