用Mathematica来实现非线性规划问题

本文用Mathematica编程实现了一类有约束条件的非线性规划问题的求解。文中先介绍了该类非线性规划问题的相关定义如约束条件、惩罚函数和内点法等,又介绍了用内点法解决非线性规划问题的相关定理和算法。经过研究这些理论和算法,结合Mathematica语言的特点编写出了相应的程序,并计算了几个实例。最后简单分析了用mathematica编写内点法程序的优越性和程序中所涉及到的部分函数和语句的功能及其作用。

In this text, using Mathematica programming has performed the problem of nonlinear programming. The first, have introduced the condition, Punish function and Inner point method. Through that theory and algorithm combine the characteristics of the language of Mathematica, write out the relevant program and the several examples have caliulated. The last, simply analyze the advantage of using the language of Mathematica write out the program of Inner point method .