formulation of equation meaning in English

立出方程

In chapter 3 , we discuss the method for solving nonlinear complementarity problems with the equivalent formulation of equation
第三章，我们考虑了利用原始问题方程形式的等价变形，来解决非线性互补问题的方法。
In this article , we consider the methods for solving nonlinear complementarity problems from two aspects : one is the equivalent formulation of minimization , the other is the equivalence formulation of equation . to the former , we give a new derivative - free descent algorithm based on constrained minimization formulation . to the later , we construct a new homotopy equation and give its algorithm
在本篇论文中，我们从两个方面考虑非线性互补问题的解决方法，一个是利用原始问题的极小化等价变形，给出了求解约束极小化问题的derivative - free下降算法；另一个是利用方程形式等价变形，构造了新的同伦方程并给出了相应的算法。