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