Parameter Identification for Nonlinear Ill-Posed Problems

Mathematical and Computational Applications

Li, Li¹ 

关键词: Parameter Identification;    Ill-Posed;    Homotopy Regularization;    Homotopy Parameter;   

DOI  :  10.3390/mca15050790

学科分类：计算数学

来源: mdpi

【 摘 要 】

Since the classical iterative methods for solving nonlinear ill-posed problems are locally convergent, this paper constructs a robust and widely convergent method for identifying parameter based on homotopy algorithm, and investigates this method’s convergence in the light of Lyapunov theory. Furthermore, we consider 1-D elliptic type equation to testify that the homotopy regularization can identify the parameter effectively.

【 授权许可】

CC BY