结果推广了同胚映射、同伦等价和同伦正则态射的有关结果。
Results Generalizing some results of homeomorphic morphism, homotopy equivalence and homotopy regular morphism.
同时在分析了同伦参数正则化效应的基础上，提出一种两段同伦参数修正方法。
Considering the regularization effect of homotopy parameter, we adopt a two-step update scheme of homotopy parameter.
基于同伦映射的思想，改进了求解非线性反问题的梯度正则化算法。
Based on idea of homotopy mapping, an improved gradient regularization algorithm was developed.
证明了同伦映射为正则映射的条件下，选取合适的同伦方程，用此同伦方法得到的K-K-T点一定是问题局部最优解。
We prove that when the homotopy map is a regular map, the K-K-T point obtained from this homotopy method must be a local optimal solution by choosing proper homotopy equation.
证明了闭路函子和同纬函子保持同伦正则性，同时构造出了一系列同伦等价的空间。
It is showed that the loop space functor and the suspension functor preserve the properties of homotopy regular. And a series of homotopy equivalence Spaces are constructed.
第二章讨论同伦正则态射的应用。
In Chapter 2, we discussed the applications of homotopy regular morphism.
第二章讨论同伦正则态射的应用。
In Chapter 2, we discussed the applications of homotopy regular morphism.
应用推荐