基于同伦映射的同伦算法，具有大范围收敛性。
The homotopy algorithm, basing on homotopy mapping, is convergent with wide range.
利用同伦映射理论，本文研究了一类非线性问题。
Using the homotopy mapping theory, a class of nonlinear problems were studied.
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.
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