23 citations · 23 across the 5 of their papers we have counts for
5 papers
A layer stripping method for numerical solution of the GPR problem in a layered medium
Ruben Airapetyan
A numerical method for processing the data of ground penetrating radars for a piece-wise continuous layered medium is proposed. The method combines the layer stripping technique wi…
On the Method of Partial Fractions with Matrix Coefficients and Applications
Ruben Airapetyan
The paper introduces a method of partial fractions with matrix coefficients and its applications to finding chains of generalized eigenvectors, to evaluation of matrix exponentials…
On principal minors of Bezout matrix
Ruben Airapetyan
Let be real numbers, , and be a polynomial of degree less than or equal to . Denote by the matrix of generalized divided…
Continuous analog of Gauss-Newton method
R. Airapetyan, A. G. Ramm, A. Smirnova
A continuous analog of Gauss-Newton method for solving nonlinear ill-posed problems is proposed. Its converegence is proved. A numerical example is presented to demonstrate efficie…
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…