On a Semismooth* Newton Method for Solving Generalized Equations [PDF]
SIAM Journal on Optimization, 2021 In the paper, a Newton-type method for the solution of generalized equations (GEs) is derived, where the linearization concerns both the single-valued and the multivalued part of the considered GE. The method is based on the new notion of semismoothness${}^*$, which, together with a suitable regularity condition, ensures the local superlinear ...
Helmut Gfrerer, Jirí V. Outrata
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A Generalized Inexact Newton Method for Inverse Eigenvalue Problems [PDF]
Abstract and Applied Analysis, 2014 We propose a generalized inexact Newton method for solving the inverse eigenvalue problems, which includes the generalized Newton method as a special case.
Weiping Shen
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Two-step inexact Newton-like method for solving generalized inverse eigenvalue problems
Results in Applied MathematicsIn this paper, based on two-step Newton iterative procedure, we propose a two-step inexact Newton-like method for generalized inverse eigenvalue problems. Under some mild assumptions, our results show that the two-step inexact Newton-like method is super
Liuqing Hua, Wei Ma
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A modified Newton-secant method for solving nonsmooth generalized equations
Mathematical Modelling and AnalysisIn this paper, we study the solvability of nonsmooth generalized equations in Banach spaces using a modified Newton-secant method, by assuming a Hölder condition.
Vitaliano de Sousa Amaral +3 more
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Unified Local Convergence for Newton’s Method and Uniqueness of the Solution of Equations under Generalized Conditions in a Banach Space [PDF]
Mathematics, 2019 Under the hypotheses that a function and its Fréchet derivative satisfy some generalized Newton−Mysovskii conditions, precise estimates on the radii of the convergence balls of Newton’s method, and of the uniqueness ball for the solution
Ioannis K. Argyros +3 more
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Generalized Newton’s method for solving nonlinear and nondifferentiable algebraic systems [PDF]
Journal of Numerical Analysis and Approximation Theory, 2015 In this paper a model based on non-smooth equations is proposed for solving a non-linear and non-differential equation obtained by discretization of a quasi-variational inequality that models the frictional contact problem. The main aim of this paper is
Nicolae Pop
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Generalized Conformable Fractional Newton-Type Method for Solving Nonlinear Systems [PDF]
, 2023 [EN] In a recent paper, a conformable fractional Newton-type method was proposed for solving nonlinear equations. This method involves a lower computational cost compared to other fractional iterative methods. Indeed, the theoretical order of convergence
Candelario-Villalona, Giro Guillermo +7 more
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Hybrid Newton-type method for a class of semismooth equations [PDF]
, 2002 In this paper, we present a hybrid method for the solution of a class of composite semismooth equations encountered frequently in applications. The method is obtained by combining a generalized finite-difference Newton method to an inexpensive direct ...
Pieraccini, Sandra
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Non-relativistic three-dimensional supergravity theories and semigroup expansion method
Journal of High Energy Physics, 2021 In this work we present an alternative method to construct diverse non-relativistic Chern-Simons supergravity theories in three spacetime dimensions. To this end, we apply the Lie algebra expansion method based on semigroups to a supersymmetric extension
Patrick Concha +3 more
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A second order convergent trial method for a free boundary problem in three dimensions [PDF]
, 2015 The present article is concerned with the solution of a generalized Bernoulli free boundary problem in three spatial dimensions. We parametrize the free boundary under consideration over the sphere and apply a trial method which updates the free boundary
Harbrecht, Helmut, Bugeanu, Monica
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