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