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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

Parameter Identification for Nonlinear Ill-Posed Problems

by
Li Li
* and
Bo Han
Department of Mathematics, Harbin Institute of Technology, 150001 Harbin, P.R. China
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2010, 15(5), 790-795; https://doi.org/10.3390/mca15050790
Submission received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
Versions Notes

Abstract

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

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MDPI and ACS Style

Li, L.; Han, B. Parameter Identification for Nonlinear Ill-Posed Problems. Math. Comput. Appl. 2010, 15, 790-795. https://doi.org/10.3390/mca15050790

AMA Style

Li L, Han B. Parameter Identification for Nonlinear Ill-Posed Problems. Mathematical and Computational Applications. 2010; 15(5):790-795. https://doi.org/10.3390/mca15050790

Chicago/Turabian Style

Li, Li, and Bo Han. 2010. "Parameter Identification for Nonlinear Ill-Posed Problems" Mathematical and Computational Applications 15, no. 5: 790-795. https://doi.org/10.3390/mca15050790

APA Style

Li, L., & Han, B. (2010). Parameter Identification for Nonlinear Ill-Posed Problems. Mathematical and Computational Applications, 15(5), 790-795. https://doi.org/10.3390/mca15050790

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