广义Tikhonov正则化及其正则参数的先验选取

A Generalized Tikhonov Regularization and A-Priori Choice of Regularization Parameters

对于算子与右端都有扰动的第一类算子方程建立了一种广义Tikhonov正则化。应用紧算子的奇异系统及正则化子的性质先验选取正则参数 。

With aid of the regularizing filters, a new class of regularization methods which called generalized Tikhonov regularization for solving the first kind equations with perturbed operators and noisy data is constructed. Applying singular systems of compact operators, the convergence and optimum asymptotic order of the regularized solution is obtained by a-priori choosing regularization parameters.