On the DSM Newton-type method
نویسندگان
چکیده
منابع مشابه
On the DSM Newton-type method
A wide class of the operator equations F(u)= h in a Hilbert space is studied. Convergence of a Dynamical Systems Method (DSM), based on the continuous analog of the Newton method, is proved without any smoothness assumptions on the F ′(u). It is assumed that F ′(u) depends on u continuously. Existence and uniqueness of the solution to evolution equation u̇(t)=−[F ′(u(t))]−1(F (u(t))− h), u(0)= u...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Computing
سال: 2011
ISSN: 1598-5865,1865-2085
DOI: 10.1007/s12190-011-0494-z