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

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)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1973
Accession Number
AD0771381

Entities

People

  • Grace Wahba

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Convergence
  • Equations
  • Hilbert Space
  • Mathematics
  • Regulations

Readers

  • Approximation Theory.
  • Linear Algebra

Technology Areas

  • Space