Newton's method for fully parameterized generalized equations

Optimization ◽

10.1080/02331934.2018.1512605 ◽

2018 ◽

Vol 67 (11) ◽

pp. 2061-2080 ◽

Author(s):

Wei Ouyang ◽

Binbin Zhang

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Generalized Equations

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Newton’s method with feasible inexact projections for solving constrained generalized equations

Computational Optimization and Applications ◽

10.1007/s10589-018-0040-0 ◽

2018 ◽

Vol 72 (1) ◽

pp. 159-177 ◽

Author(s):

Fabiana R. de Oliveira ◽

Orizon P. Ferreira ◽

Gilson N. Silva

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Generalized Equations

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Local convergence of Newton’s method for solving generalized equations with monotone operator

Applicable Analysis ◽

10.1080/00036811.2017.1299860 ◽

2017 ◽

Vol 97 (7) ◽

pp. 1094-1105 ◽

Author(s):

Gilson N. Silva

Keyword(s):

Monotone Operator ◽

Newton’S Method ◽

Local Convergence ◽

Newton's Method ◽

Generalized Equations

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Kantorovich’s theorem on Newton’s method for solving generalized equations under the majorant condition

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.04.015 ◽

2016 ◽

Vol 286 ◽

pp. 178-188 ◽

Author(s):

Gilson N. Silva

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Generalized Equations ◽

Kantorovich’S Theorem ◽

Majorant Condition

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On the solution and applications of generalized equations using Newton's method

Applicationes Mathematicae ◽

10.4064/am31-2-7 ◽

2004 ◽

Vol 31 (2) ◽

pp. 229-242

Author(s):

Ioannis K. Argyros

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Generalized Equations

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Newton’s Method for Solving Generalized Equations Without Lipschitz Condition

Journal of Optimization Theory and Applications ◽

10.1007/s10957-021-01974-0 ◽

2021 ◽

Author(s):

Jiaxi Wang ◽

Wei Ouyang

Keyword(s):

Lipschitz Condition ◽

Newton’S Method ◽

Newton's Method ◽

Generalized Equations

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Stability of metric regularity with set-valued perturbations and application to Newton’s method for solving generalized equations

Set-Valued and Variational Analysis ◽

10.1007/s11228-017-0438-3 ◽

2017 ◽

Vol 25 (3) ◽

pp. 543-567 ◽

Author(s):

Samir Adly ◽

Huynh Van Ngai ◽

Nguyen Van Vu

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Metric Regularity ◽

Generalized Equations

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Discretization and Mesh-Independence of Newton’s Method for Generalized Equations

mathematical programming with data perturbations ◽

10.1201/9781003072119-1 ◽

2020 ◽

pp. 1-30

Author(s):

Walter Alt

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Generalized Equations ◽

Mesh Independence

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Newton’s method for generalized equations using restricted domains

Iterative Methods and Their Dynamics with Applications ◽

10.1201/9781315153469-12 ◽

2017 ◽

pp. 204-215

Author(s):

Ioannis K. Argyros ◽

Á. Alberto Magreñán

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Generalized Equations ◽

Restricted Domains

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Local convergence analysis of Newton's method for solving strongly regular generalized equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.09.023 ◽

2018 ◽

Vol 458 (1) ◽

pp. 481-496 ◽

Author(s):

O.P. Ferreira ◽

G.N. Silva

Keyword(s):

Convergence Analysis ◽

Newton’S Method ◽

Local Convergence ◽

Newton's Method ◽

Generalized Equations ◽

Strongly Regular ◽

Local Convergence Analysis

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Newton's method for solving generalized equations: Kantorovich's and Smale's approaches

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.02.047 ◽

2016 ◽

Vol 439 (1) ◽

pp. 396-418 ◽

Author(s):

Samir Adly ◽

Huynh Van Ngai ◽

Van Vu Nguyen

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Generalized Equations

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