This article is cited in 8 papers

On quasioptimum selection of the regularization parameter in M. M. Lavrent'ev's method

A. S. Leonov


Abstract: We propose and study a new a posteriori method for finding the regularization parameter in M. M. Lavrent'ev's method for solving ill-posed problems. The method is a generalization of the well-known quasioptimum selection of the regularization parameter in A. N. Tykhonov's method. Our approach to finding the regularization parameter in Lavrentiev's method leads to a regular algorithm that is pseudo-optimal with respect to accuracy order.

UDC: 517.988.68

Received: 27.07.1992

 English version: Siberian Mathematical Journal, 1993, 34:4, 695–703

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