Local convergence for an almost sixth order method for solving equations under weak conditions
Abstract A family of Jarratt-type methods has been proposed for solving nonlinear equations of almost sixth convergence order. Moreover, the method has been extended to the multidimensional case by preserving the order of convergence. Theoretical and computational properties have also been investiga...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Argyros, Ioannis K. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Anmerkung: |
© Sociedad Española de Matemática Aplicada 2017 |
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| Übergeordnetes Werk: |
Enthalten in: SeMA journal - Berlin : Springer, 2010, 75(2017), 2 vom: 23. Mai, Seite 163-171 |
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| Übergeordnetes Werk: |
volume:75 ; year:2017 ; number:2 ; day:23 ; month:05 ; pages:163-171 |
| Links: |
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| DOI / URN: |
10.1007/s40324-017-0127-z |
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| Katalog-ID: |
SPR037096613 |
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| 100 | 1 | |a Argyros, Ioannis K. |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Local convergence for an almost sixth order method for solving equations under weak conditions |
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| 520 | |a Abstract A family of Jarratt-type methods has been proposed for solving nonlinear equations of almost sixth convergence order. Moreover, the method has been extended to the multidimensional case by preserving the order of convergence. Theoretical and computational properties have also been investigated along with the order of convergence. In this study, using our idea of restricted convergence domain, we extend the applicability of these methods. | ||
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| 650 | 4 | |a Convergence ball |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Local convergence |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Jarratt-type methods |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a George, Santhosh |4 aut | |
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2017 |
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2017 |
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10.1007/s40324-017-0127-z doi (DE-627)SPR037096613 (SPR)s40324-017-0127-z-e DE-627 ger DE-627 rakwb eng Argyros, Ioannis K. verfasserin aut Local convergence for an almost sixth order method for solving equations under weak conditions 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Sociedad Española de Matemática Aplicada 2017 Abstract A family of Jarratt-type methods has been proposed for solving nonlinear equations of almost sixth convergence order. Moreover, the method has been extended to the multidimensional case by preserving the order of convergence. Theoretical and computational properties have also been investigated along with the order of convergence. In this study, using our idea of restricted convergence domain, we extend the applicability of these methods. Multi-point methods (dpeaa)DE-He213 Banach space (dpeaa)DE-He213 Convergence ball (dpeaa)DE-He213 Local convergence (dpeaa)DE-He213 Jarratt-type methods (dpeaa)DE-He213 George, Santhosh aut Enthalten in SeMA journal Berlin : Springer, 2010 75(2017), 2 vom: 23. Mai, Seite 163-171 (DE-627)815395299 (DE-600)2805493-3 2254-3902 nnns volume:75 year:2017 number:2 day:23 month:05 pages:163-171 https://dx.doi.org/10.1007/s40324-017-0127-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 75 2017 2 23 05 163-171 |
| spelling |
10.1007/s40324-017-0127-z doi (DE-627)SPR037096613 (SPR)s40324-017-0127-z-e DE-627 ger DE-627 rakwb eng Argyros, Ioannis K. verfasserin aut Local convergence for an almost sixth order method for solving equations under weak conditions 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Sociedad Española de Matemática Aplicada 2017 Abstract A family of Jarratt-type methods has been proposed for solving nonlinear equations of almost sixth convergence order. Moreover, the method has been extended to the multidimensional case by preserving the order of convergence. Theoretical and computational properties have also been investigated along with the order of convergence. In this study, using our idea of restricted convergence domain, we extend the applicability of these methods. Multi-point methods (dpeaa)DE-He213 Banach space (dpeaa)DE-He213 Convergence ball (dpeaa)DE-He213 Local convergence (dpeaa)DE-He213 Jarratt-type methods (dpeaa)DE-He213 George, Santhosh aut Enthalten in SeMA journal Berlin : Springer, 2010 75(2017), 2 vom: 23. Mai, Seite 163-171 (DE-627)815395299 (DE-600)2805493-3 2254-3902 nnns volume:75 year:2017 number:2 day:23 month:05 pages:163-171 https://dx.doi.org/10.1007/s40324-017-0127-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 75 2017 2 23 05 163-171 |
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10.1007/s40324-017-0127-z doi (DE-627)SPR037096613 (SPR)s40324-017-0127-z-e DE-627 ger DE-627 rakwb eng Argyros, Ioannis K. verfasserin aut Local convergence for an almost sixth order method for solving equations under weak conditions 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Sociedad Española de Matemática Aplicada 2017 Abstract A family of Jarratt-type methods has been proposed for solving nonlinear equations of almost sixth convergence order. Moreover, the method has been extended to the multidimensional case by preserving the order of convergence. Theoretical and computational properties have also been investigated along with the order of convergence. In this study, using our idea of restricted convergence domain, we extend the applicability of these methods. Multi-point methods (dpeaa)DE-He213 Banach space (dpeaa)DE-He213 Convergence ball (dpeaa)DE-He213 Local convergence (dpeaa)DE-He213 Jarratt-type methods (dpeaa)DE-He213 George, Santhosh aut Enthalten in SeMA journal Berlin : Springer, 2010 75(2017), 2 vom: 23. Mai, Seite 163-171 (DE-627)815395299 (DE-600)2805493-3 2254-3902 nnns volume:75 year:2017 number:2 day:23 month:05 pages:163-171 https://dx.doi.org/10.1007/s40324-017-0127-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 75 2017 2 23 05 163-171 |
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10.1007/s40324-017-0127-z doi (DE-627)SPR037096613 (SPR)s40324-017-0127-z-e DE-627 ger DE-627 rakwb eng Argyros, Ioannis K. verfasserin aut Local convergence for an almost sixth order method for solving equations under weak conditions 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Sociedad Española de Matemática Aplicada 2017 Abstract A family of Jarratt-type methods has been proposed for solving nonlinear equations of almost sixth convergence order. Moreover, the method has been extended to the multidimensional case by preserving the order of convergence. Theoretical and computational properties have also been investigated along with the order of convergence. In this study, using our idea of restricted convergence domain, we extend the applicability of these methods. Multi-point methods (dpeaa)DE-He213 Banach space (dpeaa)DE-He213 Convergence ball (dpeaa)DE-He213 Local convergence (dpeaa)DE-He213 Jarratt-type methods (dpeaa)DE-He213 George, Santhosh aut Enthalten in SeMA journal Berlin : Springer, 2010 75(2017), 2 vom: 23. Mai, Seite 163-171 (DE-627)815395299 (DE-600)2805493-3 2254-3902 nnns volume:75 year:2017 number:2 day:23 month:05 pages:163-171 https://dx.doi.org/10.1007/s40324-017-0127-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 75 2017 2 23 05 163-171 |
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Enthalten in SeMA journal 75(2017), 2 vom: 23. Mai, Seite 163-171 volume:75 year:2017 number:2 day:23 month:05 pages:163-171 |
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Argyros, Ioannis K. @@aut@@ George, Santhosh @@aut@@ |
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Argyros, Ioannis K. |
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Argyros, Ioannis K. misc Multi-point methods misc Banach space misc Convergence ball misc Local convergence misc Jarratt-type methods Local convergence for an almost sixth order method for solving equations under weak conditions |
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Local convergence for an almost sixth order method for solving equations under weak conditions Multi-point methods (dpeaa)DE-He213 Banach space (dpeaa)DE-He213 Convergence ball (dpeaa)DE-He213 Local convergence (dpeaa)DE-He213 Jarratt-type methods (dpeaa)DE-He213 |
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local convergence for an almost sixth order method for solving equations under weak conditions |
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Local convergence for an almost sixth order method for solving equations under weak conditions |
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Abstract A family of Jarratt-type methods has been proposed for solving nonlinear equations of almost sixth convergence order. Moreover, the method has been extended to the multidimensional case by preserving the order of convergence. Theoretical and computational properties have also been investigated along with the order of convergence. In this study, using our idea of restricted convergence domain, we extend the applicability of these methods. © Sociedad Española de Matemática Aplicada 2017 |
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Abstract A family of Jarratt-type methods has been proposed for solving nonlinear equations of almost sixth convergence order. Moreover, the method has been extended to the multidimensional case by preserving the order of convergence. Theoretical and computational properties have also been investigated along with the order of convergence. In this study, using our idea of restricted convergence domain, we extend the applicability of these methods. © Sociedad Española de Matemática Aplicada 2017 |
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Abstract A family of Jarratt-type methods has been proposed for solving nonlinear equations of almost sixth convergence order. Moreover, the method has been extended to the multidimensional case by preserving the order of convergence. Theoretical and computational properties have also been investigated along with the order of convergence. In this study, using our idea of restricted convergence domain, we extend the applicability of these methods. © Sociedad Española de Matemática Aplicada 2017 |
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