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The Iterated Regularization With Perturbed Operators and Noisy Data 被引量:3

The Iterated Regularization With Perturbed Operators and Noisy Data
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摘要 The method of iterated Tikhonov regularization with perturbed operators and noisy data for solving operators equations of the first kind is investigated. The rates of convergence of regularization approximation are achieved by using generalized Arcangeli’s method for the choice of the regularization parameter. The method of iterated Tikhonov regularization with perturbed operators and noisy data for solving operators equations of the first kind is investigated. The rates of convergence of regularization approximation are achieved by using generalized Arcangeli's method for the choice of the regularization parameter.
作者 陈宏 侯宗义
出处 《Science China Mathematics》 SCIE 1994年第12期1409-1417,共9页 中国科学:数学(英文版)
基金 Project supported by the National Natural Science Foundation of China.
关键词 ITERATED Tikhonov REGULARIZATION the first KIND of OPERATOR equation Arcangeli’s principles rates of convergence. iterated Tikhonov regularization, the first kind of operator equation, Arcangeli's principles, rates of convergence.
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