On the convergence of a Newton-like method in and the use of Berinde's exit criterion.
Sen, Rabindranath, Mukherjee, Sulekha, Patra, Rajesh (2006)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “A Newton-Kantorovich-SOR type theorem”
On the convergence of a Newton-like method in and the use of Berinde's exit criterion.
A parametrized Newton method for nonsmooth equations with finitely many maximum functions
Shou-qiang Du, Yan Gao (2009)
Applications of Mathematics
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In this paper we propose a parametrized Newton method for nonsmooth equations with finitely many maximum functions. The convergence result of this method is proved and numerical experiments are listed.
Some notes on the quasi-Newton methods
Masanori Ozawa, Hiroshi Yanai (1982)
Aplikace matematiky
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A survey note whose aim is to establish the heuristics and natural relations in a class of Quasi-Newton methods in optimization problems. It is shown that a particular algorithm of the class is specified by characcterizing some parameters (scalars and matrices) in a general solution of a matrix equation.
On an application of a Newton-like method to the approximation of implicit functions
Ioannis K. Argyros (1992)
Mathematica Slovaca
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On Newton-like methods to enclose solutions of nonlinear equations
Günter Mayer (1989)
Aplikace matematiky
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We present a class of Newton-like methods to enclose solutions of systems of nonlinear equations. Theorems are derived concerning the feasibility of the method, its global convergence, its speed and the quality of enclosure.