病态线性方程求解及在机械设计与计算中的应用

在机械设计、计算和其它领域中，尤其是利用计算机辅助设计分析时,会遇到病态线性方程（组）的求解问题，通常的方程求解方法不能获得理想的结果。本文提出一种修正的计算方法，能够有效地解决这一问题，并且给出一个机械设计计算中遇到的实例。

Solution of the Ill-Conditioned Linear Systems and its Application to Mechanical Engineering

In the machine design, mechanical computations and other fields, especially in CAD, solution of the ill -conditioned linearsystems is offen encountered. The usual solution methods cannot give desirable results. This paper presents a modifiedmethod which is able to solve the problem efficiently。Then an example in mechanical engineering computations is given to demonstrate the efficiency of the new solution approach.