A Non-monotone Conjugate Subgradient Type Method for Minimization of Convex Functions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-019-01589-6
Abstract: We suggest a conjugate subgradient type method without any line search for minimization of convex non-differentiable functions. Unlike the custom methods of this class, it does not require monotone decrease in the goal function and… read more here.
Keywords: type method; minimization convex; subgradient type; conjugate subgradient ... See more keywords
A derivative-free three-term Hestenes–Stiefel type method for constrained nonlinear equations and image restoration
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DOI: 10.1080/00207160.2021.1946043
Abstract: In this paper, a derivative-free Hestenes-Stielfel type method is proposed to solve large-scale nonlinear equations with convex constraints. The proposed method adopts the line search proposed by O... read more here.
Keywords: type method; derivative free; method; nonlinear equations ... See more keywords
A Newton-type method for non-linear eigenproblems
Sign Up to like & getrecommendations! Published in 2017 at "Russian Journal of Numerical Analysis and Mathematical Modelling"
DOI: 10.1515/rnam-2017-0022
Abstract: Abstract This work is devoted to computations of invariant pairs associated with separated groups of finite eigenvalues of large regular non-linear matrix pencils. It is proposed to combine the method of successive linear problems with… read more here.
Keywords: type method; method non; linear eigenproblems; non linear ... See more keywords
Extending the Applicability of a Two-Step Chord-Type Method for Non-Differentiable Operators
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DOI: 10.3390/math7090804
Abstract: The semi-local convergence analysis of a well defined and efficient two-step Chord-type method in Banach spaces is presented in this study. The recurrence relation technique is used under some weak assumptions. The pertinency of the… read more here.
Keywords: type method; step chord; non differentiable; two step ... See more keywords
Extended Convergence of a Two-Step-Secant-Type Method Under a Restricted Convergence Domain
Sign Up to like & getrecommendations! Published in 2020 at "Kragujevac journal of mathematics"
DOI: 10.46793/kgjmat2101.155a
Abstract: We present a local as well as a semi-local convergence analysis of a two-step secant-type method for solving nonlinear equations involving Banach space valued operators. By using weakened Lipschitz and center Lipschitz conditions in combination… read more here.
Keywords: two step; convergence; secant type; type method ... See more keywords