2017
Том 69
№ 9

All Issues

Optimization of projection schemes of digitization of ill-posed problems

Solodkii S. G.

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Abstract

We construct new projection schemes of digitization of ill-posed problems, which are optimal in the sense of the amount of discrete information used. We establish that the application of self-adjoint projection schemes to digitization of equations with self-adjoint operators is not optimal.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 10, pp 1578-1591.

Citation Example: Solodkii S. G. Optimization of projection schemes of digitization of ill-posed problems // Ukr. Mat. Zh. - 1999. - 51, № 10. - pp. 1398–1410.

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