Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 11 Issue 4
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- Pages.1147-1157
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- 1996
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
NUMERICAL METHDS USING TRUST-REGION APPROACH FOR SOLVING NONLINEAR ILL-POSED PROBLEMS
Abstract
Nonlinear ill-posed problems arise in many application including parameter estimation and inverse scattering. We introduce a least squares regularization method to solve nonlinear ill-posed problems with constraints robustly and efficiently. The regularization method uses Trust-Region approach to handle the constraints on variables. The Generalized Cross Validation is used to choose the regularization parameter in computational tests. Numerical results are given to exhibit faster convergence of the method over other methods.