2002Journal of MathematicsRequires access

AN OPTIMAL POSTERIORI CHOICE OF A REGULAR PARAMETER FOR A NEW REGULARIZATION METHOD

Gongsheng Li

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Abstract

For a new regularization method constructed in , applying singular system of compact operator and the general Arcangelis method, the optimal regularization parameter can be a posteriori determined; and the optimum asymptotic convergence order of the regularized solution is obtained.

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What this paper is about

For a new regularization method constructed in , applying singular system of compact operator and the general Arcangelis method, the optimal regularization parameter can be a posteriori determined; and the optimum asymptotic convergence order of the regularized solution is obtained.

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Available abstract

For a new regularization method constructed in , applying singular system of compact operator and the general Arcangelis method, the optimal regularization parameter can be a posteriori determined; and the optimum asymptotic convergence order of the regularized solution is obtained.

Key concepts: Mathematics, Regularization (linguistics), A priori and a posteriori, Applied mathematics, Regularization perspectives on support vector machines, Backus–Gilbert method, Mathematical optimization, Inverse problem

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