Extended Multi-Step Jarratt-like Schemes of High Order for Equations and Systems
The local convergence analysis of multi-step, high-order Jarratt-like schemes is extended for solving Banach space valued systems of equations using the derivative instead of up to the ninth derivative as in previous works. Our idea expands the usage of the scheme in cases not considered earlier and...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/19/3603 |
| _version_ | 1797478109126066176 |
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| author | Ioannis K. Argyros Chirstopher Argyros Michael Argyros Johan Ceballos Daniel González |
| author_facet | Ioannis K. Argyros Chirstopher Argyros Michael Argyros Johan Ceballos Daniel González |
| author_sort | Ioannis K. Argyros |
| collection | DOAJ |
| description | The local convergence analysis of multi-step, high-order Jarratt-like schemes is extended for solving Banach space valued systems of equations using the derivative instead of up to the ninth derivative as in previous works. Our idea expands the usage of the scheme in cases not considered earlier and can also be utilized in other schemes, too. Experiments test the theoretical results. |
| first_indexed | 2024-03-09T21:27:22Z |
| format | Article |
| id | doaj.art-3e92c4ae08dc4c85961138d668797cc8 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T21:27:22Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-3e92c4ae08dc4c85961138d668797cc82023-11-23T21:04:20ZengMDPI AGMathematics2227-73902022-10-011019360310.3390/math10193603Extended Multi-Step Jarratt-like Schemes of High Order for Equations and SystemsIoannis K. Argyros0Chirstopher Argyros1Michael Argyros2Johan Ceballos3Daniel González4Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USADepartment of Computing and Technology, Cameron University, Lawton, OK 73505, USADepartment of Computer Science, University of Oklahoma, Norman, OK 73071, USAFacultad de Ingeniería y Ciencias Aplicadas, Universidad de Las Américas, Quito 170124, EcuadorFacultad de Ingeniería y Ciencias Aplicadas, Universidad de Las Américas, Quito 170124, EcuadorThe local convergence analysis of multi-step, high-order Jarratt-like schemes is extended for solving Banach space valued systems of equations using the derivative instead of up to the ninth derivative as in previous works. Our idea expands the usage of the scheme in cases not considered earlier and can also be utilized in other schemes, too. Experiments test the theoretical results.https://www.mdpi.com/2227-7390/10/19/3603multi-step schemeJarratt schemeBanach spacelocal convergencederivative-free |
| spellingShingle | Ioannis K. Argyros Chirstopher Argyros Michael Argyros Johan Ceballos Daniel González Extended Multi-Step Jarratt-like Schemes of High Order for Equations and Systems Mathematics multi-step scheme Jarratt scheme Banach space local convergence derivative-free |
| title | Extended Multi-Step Jarratt-like Schemes of High Order for Equations and Systems |
| title_full | Extended Multi-Step Jarratt-like Schemes of High Order for Equations and Systems |
| title_fullStr | Extended Multi-Step Jarratt-like Schemes of High Order for Equations and Systems |
| title_full_unstemmed | Extended Multi-Step Jarratt-like Schemes of High Order for Equations and Systems |
| title_short | Extended Multi-Step Jarratt-like Schemes of High Order for Equations and Systems |
| title_sort | extended multi step jarratt like schemes of high order for equations and systems |
| topic | multi-step scheme Jarratt scheme Banach space local convergence derivative-free |
| url | https://www.mdpi.com/2227-7390/10/19/3603 |
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