Regularized Greville method and it's applications in transmission tomography

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.