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Math. Comput. Appl. 2010, 15(5), 790-795; doi:10.3390/mca15050790

Parameter Identification for Nonlinear Ill-Posed Problems

Department of Mathematics, Harbin Institute of Technology, 150001 Harbin, P.R. China
Author to whom correspondence should be addressed.
Received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
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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.
Keywords: Parameter Identification; Ill-Posed; Homotopy Regularization; Homotopy Parameter Parameter Identification; Ill-Posed; Homotopy Regularization; Homotopy Parameter
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Li, L.; Han, B. Parameter Identification for Nonlinear Ill-Posed Problems. Math. Comput. Appl. 2010, 15, 790-795.

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