Generalized Newton’s method for solving nonlinear and nondifferentiable algebraic systems
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 to show that the Newton method based on the p...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2015-12-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/1058 |
| _version_ | 1818521006881374208 |
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| author | Nicolae Pop |
| author_facet | Nicolae Pop |
| author_sort | Nicolae Pop |
| collection | DOAJ |
| description |
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 to show that the Newton method based on the plenary hull of the Clarke generalized Jacobians (the non-smooth damped Newton method) can be implemented for solving Lipschitz non-smooth equation.
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| first_indexed | 2024-12-11T01:45:14Z |
| format | Article |
| id | doaj.art-80f71965cfd746f586c2b45e4e80136d |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-12-11T01:45:14Z |
| publishDate | 2015-12-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-80f71965cfd746f586c2b45e4e80136d2022-12-22T01:24:56ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2015-12-01441Generalized Newton’s method for solving nonlinear and nondifferentiable algebraic systemsNicolae Pop0Technical University of Cluj-Napoca 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 to show that the Newton method based on the plenary hull of the Clarke generalized Jacobians (the non-smooth damped Newton method) can be implemented for solving Lipschitz non-smooth equation. https://www.ictp.acad.ro/jnaat/journal/article/view/1058generalized derivativesquasi-Newton methodvariational problem |
| spellingShingle | Nicolae Pop Generalized Newton’s method for solving nonlinear and nondifferentiable algebraic systems Journal of Numerical Analysis and Approximation Theory generalized derivatives quasi-Newton method variational problem |
| title | Generalized Newton’s method for solving nonlinear and nondifferentiable algebraic systems |
| title_full | Generalized Newton’s method for solving nonlinear and nondifferentiable algebraic systems |
| title_fullStr | Generalized Newton’s method for solving nonlinear and nondifferentiable algebraic systems |
| title_full_unstemmed | Generalized Newton’s method for solving nonlinear and nondifferentiable algebraic systems |
| title_short | Generalized Newton’s method for solving nonlinear and nondifferentiable algebraic systems |
| title_sort | generalized newton s method for solving nonlinear and nondifferentiable algebraic systems |
| topic | generalized derivatives quasi-Newton method variational problem |
| url | https://www.ictp.acad.ro/jnaat/journal/article/view/1058 |
| work_keys_str_mv | AT nicolaepop generalizednewtonsmethodforsolvingnonlinearandnondifferentiablealgebraicsystems |