Articles with "generalized equations" as a keyword



An algorithm with feasible inexact projections for solving constrained generalized equations

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Published in 2024 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.10567

Abstract: The goal of this article is to design a more flexible algorithm than the ones used previously for solving constrained generalized equations. It turns out that the new algorithm even if specialized provides a finer… read more here.

Keywords: generalized equations; constrained generalized; feasible inexact; solving constrained ... See more keywords
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Expanding the Applicability of the Kantorovich’s Theorem for Solving Generalized Equations Using Newton’s Method

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Published in 2017 at "International Journal of Applied and Computational Mathematics"

DOI: 10.1007/s40819-016-0297-x

Abstract: In this paper we consider the Kantorovich’s theorem for solving generalized equations $$F(x)+Q(x) \ni 0$$F(x)+Q(x)∋0 using Newton’s method, where F is a Fréchet differentiable function and Q is a set-valued and maximal monotone function acting… read more here.

Keywords: equations using; generalized equations; theorem solving; kantorovich theorem ... See more keywords