JournalszaaVol. 4, No. 3pp. 277–284

Ritz-Regularization versus Least-Square-Regularization. Solution Methods for Integral Equations of the First Kind

  • E. Schock

    Universität Kaiserslautern, Germany
Ritz-Regularization versus Least-Square-Regularization. Solution Methods for Integral Equations of the First Kind cover

Abstract

Three principles of regularization methods are discussed (Tikhonov-, Ritz- and Galerkin-method), and it is shown that in the case of positive definite or of selfadjoint operators the Ritz- and the Galerkin-principles (the latter with non-real parameter) have better properties than the Tikhonov-principle.

Cite this article

E. Schock, Ritz-Regularization versus Least-Square-Regularization. Solution Methods for Integral Equations of the First Kind. Z. Anal. Anwend. 4 (1985), no. 3, pp. 277–284

DOI 10.4171/ZAA/153