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Regular Article

Substantiation of the method of maximum entropy for solution of ill-posed problems

A.S. Leonov$^1$, A.G. Yagola$^2$

Moscow University Physics Bulletin 2000. N 2.

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Annotation

It is shown that various substantiations of the method of maximum entropy for solving linear ill-posed problems that have recently been suggested by a number of authors (1991-1993) can easily be obtained from general assertions of the theory of nonlinear ill-posed problems in topological spaces developed by the authors of this paper in 1986-1988. The application of this general theory gives, in particular, a simple substantiation of the method of maximum entropy for nonlinear ill-posed problems.

Rissian citation:
А.С. Леонов, А.Г. Ягола.
К обоснованию метода максимальной энтропии для решения некорректных задач.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 2000. № 2. С. 14.
Authors
A.S. Leonov$^1$, A.G. Yagola$^2$
$^1$Moscow Institute of Engineering Physics
$^2$Department of Mathematics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Issue 2, 2000

Moscow University Physics Bulletin

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