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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 1996 Volume 8, Number 11, Pages 109–118 (Mi mm1644)

This article is cited in 4 papers

Computational methods and algorithms

Regularized Greville method and it's applications in transmission tomography

A. V. Khovanskii

Troitsk Institute for Innovation and Fusion Research

Abstract: The new stable direct algebraical method (regularized Greville algorithm) is proposed which allows to solve 2-dimensional inverse Radon problem with the resolution less than $51\times51$. The method was checked up at two schemes: parallel and fan (one direction) and different variants of a model (up to 12 gaussians). Algorithm is suited for parallel architecture of $n$-hypereubc because the solution is given in the explicit form.

Received: 04.04.1994
Revised: 10.04.1996



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