23 citations · 34 across the 4 of their papers we have counts for
4 papers
On deconvolution problems: numerical aspects
A. G. Ramm, A. Smirnova
An optimal algorithm is described for solving the deconvolution problem of the form given the noisy data , The idea of…
Continuous modified Newton's-type method for nonlinear operator equations
A. G. Ramm, A. B. Smirnova, A. Favini
A nonlinear operator equation , in a Hilbert space is considered. Continuous Newton's-type procedures based on a construction of a dynamical system with the tra…
Continuous regularized Gauss-Newton-type algorithm for nonlinear ill-posed equations with simultaneous updates of inverse derivative
Alexander G. Ramm, Alexandra B. Smirnova
A new continuous regularized Gauss-Newton-type method with simultaneous updates of the operator $(F^{\pr*}(x(t))F'(x(t))+\ep(t) I)^{-1}$ for solving nonlinear ill-posed equations i…
Example of two different potentials which have practically the same fixed-energy phase shifts
R. Airapetyan, A. G. Ramm, A. Smirnova
It is shown that the Newton-Sabatier procedure for inverting the fixed-energy phase shifts for a potential is not an inversion method but a parameter-fitting procedure. Theoretical…