Regularized Greville method and it's applications in transmission tomography
Matematičeskoe modelirovanie, Tome 8 (1996) no. 11, pp. 109-118
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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.
@article{MM_1996_8_11_a6,
author = {A. V. Khovanskii},
title = {Regularized {Greville} method and it's applications in transmission tomography},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {109--118},
year = {1996},
volume = {8},
number = {11},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_1996_8_11_a6/}
}
A. V. Khovanskii. Regularized Greville method and it's applications in transmission tomography. Matematičeskoe modelirovanie, Tome 8 (1996) no. 11, pp. 109-118. http://geodesic.mathdoc.fr/item/MM_1996_8_11_a6/