Local convergence analysis of two iterative methods

Abstract In this paper we consider two three-step iterative methods with common first two steps. The convergence order five and six, respectively of these methods are proved using assumptions on the first derivative of the operator involved. We also provide dynamics of these methods

Gespeichert in:

Autor*in:	George, Santhosh [verfasserIn] Argyros, Ioannis K. Senapati, Kedarnath Kanagaraj, K.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Fréchet derivative Order of convergence Dynamics of iterative method Iterative method Banach space

Anmerkung:	© The Author(s), under exclusive licence to The Forum D’Analystes 2022

Übergeordnetes Werk:	Enthalten in: The journal of analysis - Madras : Forum, 1993, 30(2022), 4 vom: 23. März, Seite 1497-1508
Übergeordnetes Werk:	volume:30 ; year:2022 ; number:4 ; day:23 ; month:03 ; pages:1497-1508

Links:	Volltext

DOI / URN:	10.1007/s41478-022-00415-z

Katalog-ID:	SPR048416177

Internformat


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100	1		\|a George, Santhosh \|e verfasserin \|4 aut
245	1	0	\|a Local convergence analysis of two iterative methods
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520			\|a Abstract In this paper we consider two three-step iterative methods with common first two steps. The convergence order five and six, respectively of these methods are proved using assumptions on the first derivative of the operator involved. We also provide dynamics of these methods
650		4	\|a Fréchet derivative \|7 (dpeaa)DE-He213
650		4	\|a Order of convergence \|7 (dpeaa)DE-He213
650		4	\|a Dynamics of iterative method \|7 (dpeaa)DE-He213
650		4	\|a Iterative method \|7 (dpeaa)DE-He213
650		4	\|a Banach space \|7 (dpeaa)DE-He213
700	1		\|a Argyros, Ioannis K. \|4 aut
700	1		\|a Senapati, Kedarnath \|4 aut
700	1		\|a Kanagaraj, K. \|0 (orcid)0000-0002-3599-5488 \|4 aut
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773	1	8	\|g volume:30 \|g year:2022 \|g number:4 \|g day:23 \|g month:03 \|g pages:1497-1508
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912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
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912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
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912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
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912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
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912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
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912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
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912			\|a GBV_ILN_4336
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allfields	10.1007/s41478-022-00415-z doi (DE-627)SPR048416177 (SPR)s41478-022-00415-z-e DE-627 ger DE-627 rakwb eng George, Santhosh verfasserin aut Local convergence analysis of two iterative methods 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to The Forum D’Analystes 2022 Abstract In this paper we consider two three-step iterative methods with common first two steps. The convergence order five and six, respectively of these methods are proved using assumptions on the first derivative of the operator involved. We also provide dynamics of these methods Fréchet derivative (dpeaa)DE-He213 Order of convergence (dpeaa)DE-He213 Dynamics of iterative method (dpeaa)DE-He213 Iterative method (dpeaa)DE-He213 Banach space (dpeaa)DE-He213 Argyros, Ioannis K. aut Senapati, Kedarnath aut Kanagaraj, K. (orcid)0000-0002-3599-5488 aut Enthalten in The journal of analysis Madras : Forum, 1993 30(2022), 4 vom: 23. März, Seite 1497-1508 (DE-627)835551512 (DE-600)2835863-6 2367-2501 nnns volume:30 year:2022 number:4 day:23 month:03 pages:1497-1508 https://dx.doi.org/10.1007/s41478-022-00415-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_152 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_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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 30 2022 4 23 03 1497-1508
spelling	10.1007/s41478-022-00415-z doi (DE-627)SPR048416177 (SPR)s41478-022-00415-z-e DE-627 ger DE-627 rakwb eng George, Santhosh verfasserin aut Local convergence analysis of two iterative methods 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to The Forum D’Analystes 2022 Abstract In this paper we consider two three-step iterative methods with common first two steps. The convergence order five and six, respectively of these methods are proved using assumptions on the first derivative of the operator involved. We also provide dynamics of these methods Fréchet derivative (dpeaa)DE-He213 Order of convergence (dpeaa)DE-He213 Dynamics of iterative method (dpeaa)DE-He213 Iterative method (dpeaa)DE-He213 Banach space (dpeaa)DE-He213 Argyros, Ioannis K. aut Senapati, Kedarnath aut Kanagaraj, K. (orcid)0000-0002-3599-5488 aut Enthalten in The journal of analysis Madras : Forum, 1993 30(2022), 4 vom: 23. März, Seite 1497-1508 (DE-627)835551512 (DE-600)2835863-6 2367-2501 nnns volume:30 year:2022 number:4 day:23 month:03 pages:1497-1508 https://dx.doi.org/10.1007/s41478-022-00415-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_152 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_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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 30 2022 4 23 03 1497-1508
allfields_unstemmed	10.1007/s41478-022-00415-z doi (DE-627)SPR048416177 (SPR)s41478-022-00415-z-e DE-627 ger DE-627 rakwb eng George, Santhosh verfasserin aut Local convergence analysis of two iterative methods 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to The Forum D’Analystes 2022 Abstract In this paper we consider two three-step iterative methods with common first two steps. The convergence order five and six, respectively of these methods are proved using assumptions on the first derivative of the operator involved. We also provide dynamics of these methods Fréchet derivative (dpeaa)DE-He213 Order of convergence (dpeaa)DE-He213 Dynamics of iterative method (dpeaa)DE-He213 Iterative method (dpeaa)DE-He213 Banach space (dpeaa)DE-He213 Argyros, Ioannis K. aut Senapati, Kedarnath aut Kanagaraj, K. (orcid)0000-0002-3599-5488 aut Enthalten in The journal of analysis Madras : Forum, 1993 30(2022), 4 vom: 23. März, Seite 1497-1508 (DE-627)835551512 (DE-600)2835863-6 2367-2501 nnns volume:30 year:2022 number:4 day:23 month:03 pages:1497-1508 https://dx.doi.org/10.1007/s41478-022-00415-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_152 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_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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 30 2022 4 23 03 1497-1508
allfieldsGer	10.1007/s41478-022-00415-z doi (DE-627)SPR048416177 (SPR)s41478-022-00415-z-e DE-627 ger DE-627 rakwb eng George, Santhosh verfasserin aut Local convergence analysis of two iterative methods 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to The Forum D’Analystes 2022 Abstract In this paper we consider two three-step iterative methods with common first two steps. The convergence order five and six, respectively of these methods are proved using assumptions on the first derivative of the operator involved. We also provide dynamics of these methods Fréchet derivative (dpeaa)DE-He213 Order of convergence (dpeaa)DE-He213 Dynamics of iterative method (dpeaa)DE-He213 Iterative method (dpeaa)DE-He213 Banach space (dpeaa)DE-He213 Argyros, Ioannis K. aut Senapati, Kedarnath aut Kanagaraj, K. (orcid)0000-0002-3599-5488 aut Enthalten in The journal of analysis Madras : Forum, 1993 30(2022), 4 vom: 23. März, Seite 1497-1508 (DE-627)835551512 (DE-600)2835863-6 2367-2501 nnns volume:30 year:2022 number:4 day:23 month:03 pages:1497-1508 https://dx.doi.org/10.1007/s41478-022-00415-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_152 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_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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 30 2022 4 23 03 1497-1508
allfieldsSound	10.1007/s41478-022-00415-z doi (DE-627)SPR048416177 (SPR)s41478-022-00415-z-e DE-627 ger DE-627 rakwb eng George, Santhosh verfasserin aut Local convergence analysis of two iterative methods 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to The Forum D’Analystes 2022 Abstract In this paper we consider two three-step iterative methods with common first two steps. The convergence order five and six, respectively of these methods are proved using assumptions on the first derivative of the operator involved. We also provide dynamics of these methods Fréchet derivative (dpeaa)DE-He213 Order of convergence (dpeaa)DE-He213 Dynamics of iterative method (dpeaa)DE-He213 Iterative method (dpeaa)DE-He213 Banach space (dpeaa)DE-He213 Argyros, Ioannis K. aut Senapati, Kedarnath aut Kanagaraj, K. (orcid)0000-0002-3599-5488 aut Enthalten in The journal of analysis Madras : Forum, 1993 30(2022), 4 vom: 23. März, Seite 1497-1508 (DE-627)835551512 (DE-600)2835863-6 2367-2501 nnns volume:30 year:2022 number:4 day:23 month:03 pages:1497-1508 https://dx.doi.org/10.1007/s41478-022-00415-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_152 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_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_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 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_2118 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_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 30 2022 4 23 03 1497-1508
language	English
source	Enthalten in The journal of analysis 30(2022), 4 vom: 23. März, Seite 1497-1508 volume:30 year:2022 number:4 day:23 month:03 pages:1497-1508
sourceStr	Enthalten in The journal of analysis 30(2022), 4 vom: 23. März, Seite 1497-1508 volume:30 year:2022 number:4 day:23 month:03 pages:1497-1508
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Fréchet derivative Order of convergence Dynamics of iterative method Iterative method Banach space
isfreeaccess_bool	false
container_title	The journal of analysis
authorswithroles_txt_mv	George, Santhosh @@aut@@ Argyros, Ioannis K. @@aut@@ Senapati, Kedarnath @@aut@@ Kanagaraj, K. @@aut@@
publishDateDaySort_date	2022-03-23T00:00:00Z
hierarchy_top_id	835551512
id	SPR048416177
language_de	englisch
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author	George, Santhosh
spellingShingle	George, Santhosh misc Fréchet derivative misc Order of convergence misc Dynamics of iterative method misc Iterative method misc Banach space Local convergence analysis of two iterative methods
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topic_title	Local convergence analysis of two iterative methods Fréchet derivative (dpeaa)DE-He213 Order of convergence (dpeaa)DE-He213 Dynamics of iterative method (dpeaa)DE-He213 Iterative method (dpeaa)DE-He213 Banach space (dpeaa)DE-He213
topic	misc Fréchet derivative misc Order of convergence misc Dynamics of iterative method misc Iterative method misc Banach space
topic_unstemmed	misc Fréchet derivative misc Order of convergence misc Dynamics of iterative method misc Iterative method misc Banach space
topic_browse	misc Fréchet derivative misc Order of convergence misc Dynamics of iterative method misc Iterative method misc Banach space
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title	Local convergence analysis of two iterative methods
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title_full	Local convergence analysis of two iterative methods
author_sort	George, Santhosh
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author_browse	George, Santhosh Argyros, Ioannis K. Senapati, Kedarnath Kanagaraj, K.
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title_sort	local convergence analysis of two iterative methods
title_auth	Local convergence analysis of two iterative methods
abstract	Abstract In this paper we consider two three-step iterative methods with common first two steps. The convergence order five and six, respectively of these methods are proved using assumptions on the first derivative of the operator involved. We also provide dynamics of these methods © The Author(s), under exclusive licence to The Forum D’Analystes 2022
abstractGer	Abstract In this paper we consider two three-step iterative methods with common first two steps. The convergence order five and six, respectively of these methods are proved using assumptions on the first derivative of the operator involved. We also provide dynamics of these methods © The Author(s), under exclusive licence to The Forum D’Analystes 2022
abstract_unstemmed	Abstract In this paper we consider two three-step iterative methods with common first two steps. The convergence order five and six, respectively of these methods are proved using assumptions on the first derivative of the operator involved. We also provide dynamics of these methods © The Author(s), under exclusive licence to The Forum D’Analystes 2022
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title_short	Local convergence analysis of two iterative methods
url	https://dx.doi.org/10.1007/s41478-022-00415-z
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author2	Argyros, Ioannis K. Senapati, Kedarnath Kanagaraj, K.
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up_date	2024-07-03T19:04:29.990Z
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Local convergence analysis of two iterative methods

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