线性方程组的精确解法及其在泛函极值中的应用

本文对在工程优化过程中抽象数学模型得到的一类特殊的n阶线性方程组,导出了解析解的表达式,且借助于解的解析表达式,给一类条件泛函极值问题提出了新的求解方法,并利用这种求解方法于工程最佳设计中,收到了显著效果.

THE ACCURATE SOLVING PROCESS OF LINEAREQUATIONS AND ITS APPLICATION IN EXTREMUM OF FUNCTIONAL

In the process of engineering optimum, a group of special linear equations of order n have been obtained from the abstract mathematical model and the analytic expressions for the solutions have also been. derived. By means of the analytic expressions for the solutions, a new approach for solutions has been provided to a type of conditional extremum of functional. Noticeable achievements have been made with the application of this approach in optimum engineering designs.