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math-ph1999
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…
math-ph1999★ 23 cited
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…