
Accession Number : AD0771381
Title : Convergence Properties of the Method of Regularization for Noisy Linear Operation Equations.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Wahba,Grace
Report Date : OCT 1973
Pagination or Media Count : 45
Abstract : 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)
Descriptors : *Differential equations, Stochastic processes, Matrices(Mathematics), Topology, Theorems, Hilbert space
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE