2014Journal of Natural Science of Heilongjiang UniversityRequires access

Continuous Landweber type regularization method for solving nonlinear ill-posed problem

Liangcai Cao

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Abstract

A continuous Landweber type regularization method for solving nonlinear ill-posed problems is proposed. Under the smoothness of the unknown solution,convergence and stability of the asymptotical regularization method are given. Moreover,some numerical experiments are presented to illustrate that the 2-stage iterative regularization methods are stable and efficient in saving iteration steps.

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A continuous Landweber type regularization method for solving nonlinear ill-posed problems is proposed. Under the smoothness of the unknown solution,convergence and stability of the asymptotical regularization method are given. Moreover,some numerical experiments are presented to illustrate that the 2-stage iterative regularization methods are stable and efficient in saving iteration steps.

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Available abstract

A continuous Landweber type regularization method for solving nonlinear ill-posed problems is proposed. Under the smoothness of the unknown solution,convergence and stability of the asymptotical regularization method are given. Moreover,some numerical experiments are presented to illustrate that the 2-stage iterative regularization methods are stable and efficient in saving iteration steps.

Key concepts: Regularization (linguistics), Mathematics, Nonlinear system, Smoothness, Well-posed problem, Convergence (economics), Mathematical optimization, Applied mathematics

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