Improved Tikhonov Regularization Research and Applied in Inverse Problem
The regularization which constructs with the first filter function is precisely the Tikhonov regularization. This article has proven the Tikhonov functional minimization problem is decides suitably, namely satisfies the solution the existence, the solution unique reconciliation to rely on continuously the data stability; and this minimization problem in solves the first class equation equally the normal equation. The numerical simulation experiment's result indicated that distinguishes the inverse with the regular reduction solution parameter to have the numerical precision to be high and the stability is good and convergence rate quick characteristic.
Shaobo Zhong, Yimin Cheng and Xilong Qu
Y. M. Peng et al., "Improved Tikhonov Regularization Research and Applied in Inverse Problem", Applied Mechanics and Materials, Vols. 50-51, pp. 447-450, 2011