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math.FA2009
Universality of Newton's method
A. G. Ramm
Convergence of the classical Newton's method and its DSM version for solving operator equations is proved without any smoothness assumptions on . It is proved that…
math-ph2009
Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators
N. S. Hoang, A. G. Ramm
An evolution equation, arising in the study of the Dynamical Systems Method (DSM) for solving equations with monotone operators, is studied in this paper. The evolution equation is…