Title: Newton’s Method for Convex Operators and Applications
Author(s): Octav Olteanu
Pages: 11-20
Cite as:
Octav Olteanu, Newton’s Method for Convex Operators and Applications, Int. J. Anal. Appl., 4 (1) (2014), 11-20.


This review work presents the general statement of a variant of Newton’s method for convex monotone operators and its applications. We consider the estimation of the absolute error too. One makes the connection to the contraction principle. One of the applications is approximating  where a positive selfadjoint operator is acting on a Hilbert space. One works with “global” convex monotone operators. For the local approach, we mention appropriate references.

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