Extended convergence analysis of Newton-Potra solver for equations
In the paper a local and a semi-local convergence of combined iterative process for solving nonlinear operator equations is investigated. This solver is built based on Newton solver and has R-convergence order 1.839.... The radius of the convergence ball and convergence order of the investigated so...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2020-12-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | http://localhost/jnaat/journal/article/view/1186 |
| _version_ | 1797786698993631232 |
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| author | Ioannis Argyros Stepan M. Shakhno Yurii Shunkin Halyna Yarmola |
| author_facet | Ioannis Argyros Stepan M. Shakhno Yurii Shunkin Halyna Yarmola |
| author_sort | Ioannis Argyros |
| collection | DOAJ |
| description |
In the paper a local and a semi-local convergence of combined iterative process for solving nonlinear operator equations is investigated. This solver is built based on Newton solver and has R-convergence order 1.839.... The radius of the convergence ball and convergence order of the investigated solver are determined in an earlier paper. Modifications of previous conditions leads to extended convergence domain. These advantages are obtained under the same computational effort.
Numerical experiments are carried out on the test examples with nondifferentiable operator.
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| first_indexed | 2024-03-13T01:12:32Z |
| format | Article |
| id | doaj.art-53fd24f913d64a93909953501276d948 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-03-13T01:12:32Z |
| publishDate | 2020-12-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-53fd24f913d64a93909953501276d9482023-07-05T17:34:06ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2020-12-01492Extended convergence analysis of Newton-Potra solver for equationsIoannis Argyros0Stepan M. Shakhno1Yurii Shunkin2Halyna Yarmola3Cameron University, USAIvan Franko National University of Lviv, UkraineIvan Franko National University of Lviv, UkraineIvan Franko National University of Lviv, Ukraine In the paper a local and a semi-local convergence of combined iterative process for solving nonlinear operator equations is investigated. This solver is built based on Newton solver and has R-convergence order 1.839.... The radius of the convergence ball and convergence order of the investigated solver are determined in an earlier paper. Modifications of previous conditions leads to extended convergence domain. These advantages are obtained under the same computational effort. Numerical experiments are carried out on the test examples with nondifferentiable operator. http://localhost/jnaat/journal/article/view/1186nonlinear equation, nondifferentiable operator, local and semi-local convergence, order of convergence, divided difference |
| spellingShingle | Ioannis Argyros Stepan M. Shakhno Yurii Shunkin Halyna Yarmola Extended convergence analysis of Newton-Potra solver for equations Journal of Numerical Analysis and Approximation Theory nonlinear equation, nondifferentiable operator, local and semi-local convergence, order of convergence, divided difference |
| title | Extended convergence analysis of Newton-Potra solver for equations |
| title_full | Extended convergence analysis of Newton-Potra solver for equations |
| title_fullStr | Extended convergence analysis of Newton-Potra solver for equations |
| title_full_unstemmed | Extended convergence analysis of Newton-Potra solver for equations |
| title_short | Extended convergence analysis of Newton-Potra solver for equations |
| title_sort | extended convergence analysis of newton potra solver for equations |
| topic | nonlinear equation, nondifferentiable operator, local and semi-local convergence, order of convergence, divided difference |
| url | http://localhost/jnaat/journal/article/view/1186 |
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