Convergence Properties of the Method of Regularization for Noisy Linear Operation Equations.

摘要

Convergence properties of the method of regulation for finding approximate solutions to the linear operator equation g = Kf are found when g is contaminated by noise. If f belongs to (H sub R), a reproducing kernel Hilbert Space and K((H sub R)) = (H sub Q),another r.k.h.s. which is topologically equivalent to W2(m),it is shown how the optimum choice of lambda depends on n,m,the mean square noise,and f. (Author)