English

应用科学学报 ›› 1989, Vol. 7 ›› Issue (3): 207-212.

• 论文 • 上一篇    下一篇

线性方程组的精确解法及其在泛函极值中的应用

张可村   

  1. 西安交通大学
  • 收稿日期:1987-01-10 修回日期:1987-07-24 出版日期:1989-09-30 发布日期:1989-09-30

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

ZHANG KECUN   

  1. Xian Jiaotong University
  • Received:1987-01-10 Revised:1987-07-24 Online:1989-09-30 Published:1989-09-30

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摘要： 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.

Abstract: 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.