Kunnarath, Ajil; George, Santhosh; Sadananda, Ramya; Padikkal, Jidesh; Argyros, Ioannis K. On the convergence of open Newton’s method. (English) Zbl 07822466 J. Anal. 31, No. 4, 2473-2500 (2023). MSC: 47H99 49M15 65J15 PDFBibTeX XMLCite \textit{A. Kunnarath} et al., J. Anal. 31, No. 4, 2473--2500 (2023; Zbl 07822466) Full Text: DOI
Sharma, Janak Raj; Kumar, Sunil; Argyros, Ioannis K.; Argyros, Christopher I. Extended comparison between two Newton-Jarratt sixth order schemes for nonlinear models under the same set of conditions. (English) Zbl 07796791 Appl. Math. 50, No. 1, 67-79 (2023). Reviewer: Anton Iliev (Plovdiv) MSC: 65E99 65H10 49M15 PDFBibTeX XMLCite \textit{J. R. Sharma} et al., Appl. Math. 50, No. 1, 67--79 (2023; Zbl 07796791) Full Text: DOI
Argyros, Ioannis K.; Shakhno, Stepan; Regmi, Samundra; Yarmola, Halyna On the complexity of a unified convergence analysis for iterative methods. (English) Zbl 07772615 J. Complexity 79, Article ID 101781, 13 p. (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Complexity 79, Article ID 101781, 13 p. (2023; Zbl 07772615) Full Text: DOI
Sadananda, Ramya; George, Santhosh; Kunnarath, Ajil; Padikkal, Jidesh; Argyros, Ioannis K. Enhancing the practicality of Newton-Cotes iterative method. (English) Zbl 07746756 J. Appl. Math. Comput. 69, No. 4, 3359-3389 (2023). MSC: 47H99 49M15 65J15 65D99 65G99 PDFBibTeX XMLCite \textit{R. Sadananda} et al., J. Appl. Math. Comput. 69, No. 4, 3359--3389 (2023; Zbl 07746756) Full Text: DOI
Argyros, Ioannis K.; Sharma, Debasis; Argyros, Christopher I.; Parhi, Sanjaya Kumar; Sunanda, Shanta Kumari Extended convergence ball for an efficient eighth order method using only the first derivative. (English) Zbl 1516.65041 S\(\vec{\text{e}}\)MA J. 80, No. 2, 319-331 (2023). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., S\(\vec{\text{e}}\)MA J. 80, No. 2, 319--331 (2023; Zbl 1516.65041) Full Text: DOI
Kumar, Sunil; Kumar, Deepak; Sharma, Janak Raj; Argyros, Ioannis K. An efficient class of fourth-order derivative-free method for multiple-roots. (English) Zbl 07677983 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 265-275 (2023). MSC: 65H05 41A25 65D99 PDFBibTeX XMLCite \textit{S. Kumar} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 265--275 (2023; Zbl 07677983) Full Text: DOI
Argyros, Ioannis K.; Sharma, Debasis; Argyros, Christopher I.; Parhi, Sanjaya Kumar; Argyros, Michael I. Extended ball convergence of a seventh order derivative free method for solving system of equations with applications. (English) Zbl 1507.65092 J. Anal. 31, No. 1, 279-294 (2023). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Anal. 31, No. 1, 279--294 (2023; Zbl 1507.65092) Full Text: DOI
Argyros, Ioannis K.; González, Daniel; Ren, Hongmin Improved convergence ball and error analysis of Müller’s method. (English) Zbl 07801853 Bol. Soc. Parana. Mat. (3) 40, Paper No. 65, 6 p. (2022). MSC: 65G99 65H10 65J15 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Bol. Soc. Parana. Mat. (3) 40, Paper No. 65, 6 p. (2022; Zbl 07801853) Full Text: DOI
Behl, Ramandeep; Argyros, Ioannis K.; Martínez, Eulalia; Joshi, Janak Extended convergence for a fifth-order novel scheme free from derivatives. (English) Zbl 1527.65038 Math. Methods Appl. Sci. 45, No. 6, 3295-3304 (2022). MSC: 65J15 47J05 PDFBibTeX XMLCite \textit{R. Behl} et al., Math. Methods Appl. Sci. 45, No. 6, 3295--3304 (2022; Zbl 1527.65038) Full Text: DOI
Argyros, Ioannis K.; John, Jinny Ann; Jayaraman, Jayakumar On the semi-local convergence of a sixth order method in Banach space. (English) Zbl 07752792 J. Numer. Anal. Approx. Theory 51, No. 2, 144-154 (2022). MSC: 37N30 47J25 49M15 65H10 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Numer. Anal. Approx. Theory 51, No. 2, 144--154 (2022; Zbl 07752792) Full Text: DOI
Argyros, Ioannis K.; Sharma, Janak Raj; Singh, Harmandeep Extended convergence analysis of optimal eighth order method for solving nonlinear equations. (English) Zbl 1513.65166 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 53, 109-122 (2022). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 53, 109--122 (2022; Zbl 1513.65166)
George, Santhosh; Argyros, Ioannis K.; Senapati, Kedarnath; Kanagaraj, K. Local convergence analysis of two iterative methods. (English) Zbl 1497.65092 J. Anal. 30, No. 4, 1497-1508 (2022). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{S. George} et al., J. Anal. 30, No. 4, 1497--1508 (2022; Zbl 1497.65092) Full Text: DOI
Argyros, Ioannis K.; Sharma, Debasis; Argyros, Christopher I.; Parhi, Sanjaya Kumar; Sunanda, Shanta Kumari Extended iterative schemes based on decomposition for nonlinear models. (English) Zbl 1486.65052 J. Appl. Math. Comput. 68, No. 3, 1485-1504 (2022). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Appl. Math. Comput. 68, No. 3, 1485--1504 (2022; Zbl 1486.65052) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh; Senapati, Kedarnath Extended local convergence for Newton-type solver under weak conditions. (English) Zbl 1513.65157 Stud. Univ. Babeș-Bolyai, Math. 66, No. 4, 757-768 (2021). MSC: 65J10 47N40 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Stud. Univ. Babeș-Bolyai, Math. 66, No. 4, 757--768 (2021; Zbl 1513.65157) Full Text: DOI
Argyros, I. K.; Sharma, D.; Argyros, C. I.; Parhi, S. K.; Sunanda, S. K.; Argyros, M. I. Extended ball convergence for a seventh order derivative free class of algorithms for nonlinear equations. (English) Zbl 07509972 Mat. Stud. 56, No. 1, 72-82 (2021). MSC: 47J25 37N30 65H10 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Mat. Stud. 56, No. 1, 72--82 (2021; Zbl 07509972) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Highly efficient solvers for nonlinear equations in Banach space. (English) Zbl 1480.65128 Appl. Math. 48, No. 2, 209-220 (2021). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. 48, No. 2, 209--220 (2021; Zbl 1480.65128) Full Text: DOI
Argyros, Gus; Argyros, Michael; Argyros, Ioannis K.; George, Santhosh Semi-local convergence of a derivative-free method for solving equations. (English) Zbl 1468.65054 Probl. Anal. Issues Anal. 10(28), No. 2, 18-26 (2021). MSC: 65J15 PDFBibTeX XMLCite \textit{G. Argyros} et al., Probl. Anal. Issues Anal. 10(28), No. 2, 18--26 (2021; Zbl 1468.65054) Full Text: DOI MNR
Argyros, Ioannis K.; George, Santhosh Extended domain for fifth convergence order schemes. (English) Zbl 1460.65056 Cubo 23, No. 1, 97-108 (2021). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Cubo 23, No. 1, 97--108 (2021; Zbl 1460.65056) Full Text: DOI
George, S.; Argyros, I. K.; Jidesh, P.; Mahapatra, M.; Saeed, M. Convergence analysis of a fifth-order iterative method using recurrence relations and conditions on the first derivative. (English) Zbl 1461.65104 Mediterr. J. Math. 18, No. 2, Paper No. 57, 12 p. (2021). MSC: 65J15 PDFBibTeX XMLCite \textit{S. George} et al., Mediterr. J. Math. 18, No. 2, Paper No. 57, 12 p. (2021; Zbl 1461.65104) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball convergence theorem for inexact Newton methods in Banach space. (English) Zbl 1499.65202 Creat. Math. Inform. 29, No. 2, 113-120 (2020). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Creat. Math. Inform. 29, No. 2, 113--120 (2020; Zbl 1499.65202) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh High convergence order solvers in Banach space. (English) Zbl 1463.65127 J. Nonlinear Anal. Optim. 11, No. 2, 111-118 (2020). MSC: 65J15 47J05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, J. Nonlinear Anal. Optim. 11, No. 2, 111--118 (2020; Zbl 1463.65127) Full Text: Link
Argyros, I. K.; Magreñán, Á. A.; Yáñez, D. F.; Sicilia, J. A. A new technique for studying the convergence of Newton’s solver with real life applications. (English) Zbl 1436.65068 J. Math. Chem. 58, No. 4, 816-830 (2020). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Math. Chem. 58, No. 4, 816--830 (2020; Zbl 1436.65068) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball comparison for three optimal eight order methods under weak conditions. (English) Zbl 1513.65135 Stud. Univ. Babeș-Bolyai, Math. 64, No. 3, 421-431 (2019). MSC: 65H05 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Stud. Univ. Babeș-Bolyai, Math. 64, No. 3, 421--431 (2019; Zbl 1513.65135) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence comparison between two novel sixth order methods for solving equations. (English) Zbl 1439.65070 Ann. Univ. Paedagog. Crac., Stud. Math. 277(18), 5-19 (2019). MSC: 65H20 65H10 49M15 65D10 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Ann. Univ. Paedagog. Crac., Stud. Math. 277(18), 5--19 (2019; Zbl 1439.65070) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence analysis of two competing two-step iterative methods free of derivatives for solving equations and systems of equations. (English) Zbl 07134755 Math. Commun. 24, No. 2, 265-278 (2019). MSC: 47H09 47H10 65G99 65H10 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Math. Commun. 24, No. 2, 265--278 (2019; Zbl 07134755) Full Text: Link
Behl, Ramandeep; Argyros, Ioannis K.; Machado, J. A. Tenreiro; Alshomrani, Ali Saleh Local convergence of a family of weighted-Newton methods. (English) Zbl 1423.47037 Symmetry 11, No. 1, Paper No. 103, 13 p. (2019). MSC: 47J25 47J05 PDFBibTeX XMLCite \textit{R. Behl} et al., Symmetry 11, No. 1, Paper No. 103, 13 p. (2019; Zbl 1423.47037) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh; Erappa, Shobha M. Local convergence of a novel eighth order method under hypotheses only on the first derivative. (English) Zbl 1438.65116 Khayyam J. Math. 5, No. 2, 96-107 (2019). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Khayyam J. Math. 5, No. 2, 96--107 (2019; Zbl 1438.65116) Full Text: DOI
Argyros, Ioannis K.; Sharma, Janak Raj; Kumar, Sunil On the local convergence and complex geometry of eighth order iteration function. (English) Zbl 1438.65118 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 49, 19-34 (2019). Reviewer: Hang Lau (Montréal) MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 49, 19--34 (2019; Zbl 1438.65118) Full Text: Link
Sharma, Janak Raj; Kumar, Sunil; Argyros, Ioannis K. Generalized Kung-Traub method and its multi-step iteration in Banach spaces. (English) Zbl 1432.65068 J. Complexity 54, Article ID 101400, 13 p. (2019). MSC: 65J15 PDFBibTeX XMLCite \textit{J. R. Sharma} et al., J. Complexity 54, Article ID 101400, 13 p. (2019; Zbl 1432.65068) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Extending the applicability of the super-Halley-like method using \(\omega\)-continuous derivatives and restricted convergence domains. (English) Zbl 1429.65113 Ann. Math. Sil. 33, 21-40 (2019). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Ann. Math. Sil. 33, 21--40 (2019; Zbl 1429.65113) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Convergence for variants of Chebyshev-Halley methods using restricted convergence domains. (English) Zbl 1418.65071 Appl. Math. 46, No. 1, 115-126 (2019). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. 46, No. 1, 115--126 (2019; Zbl 1418.65071) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Unified ball convergence of inexact methods for finding zeros with multiplicity. (English) Zbl 1435.65081 Appl. Appl. Math. 14, No. 1, 223-234 (2019). Reviewer: Yekini Shehu (Nsukka) MSC: 65H20 65H05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Appl. Appl. Math. 14, No. 1, 223--234 (2019; Zbl 1435.65081) Full Text: Link
Argyros, Ioannis K.; Legaz, M. J.; Magreñán, Á. A.; Moreno, D.; Sicilia, Juan Antonio Extended local convergence for some inexact methods with applications. (English) Zbl 1415.65123 J. Math. Chem. 57, No. 5, 1508-1523 (2019). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Math. Chem. 57, No. 5, 1508--1523 (2019; Zbl 1415.65123) Full Text: DOI
Argyros, Ioannis K.; Magreñán, Á. A.; Orcos, L.; Sarría, Íñígo; Sicilia, Juan Antonio Different methods for solving STEM problems. (English) Zbl 1415.65124 J. Math. Chem. 57, No. 5, 1268-1281 (2019). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Math. Chem. 57, No. 5, 1268--1281 (2019; Zbl 1415.65124) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh On a two-step Kurchatov-type method in Banach space. (English) Zbl 1411.65077 Mediterr. J. Math. 16, No. 1, Paper No. 21, 12 p. (2019). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Mediterr. J. Math. 16, No. 1, Paper No. 21, 12 p. (2019; Zbl 1411.65077) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence analysis of an efficient fourth order weighted-Newton method under weak conditions. (English) Zbl 1513.65146 An. Univ. Vest Timiș., Ser. Mat.-Inform. 56, No. 1, 23-34 (2018). MSC: 65H10 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, An. Univ. Vest Timiș., Ser. Mat.-Inform. 56, No. 1, 23--34 (2018; Zbl 1513.65146) Full Text: DOI
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Deepak Newton-like methods with increasing order of convergence and their convergence analysis in Banach space. (English) Zbl 1411.65080 S\(\vec{\text{e}}\)MA J. 75, No. 3, 545-561 (2018). MSC: 65J15 PDFBibTeX XMLCite \textit{J. R. Sharma} et al., S\(\vec{\text{e}}\)MA J. 75, No. 3, 545--561 (2018; Zbl 1411.65080) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Expanding the applicability of generalized high convergence order methods for solving equations. (English) Zbl 1412.65037 Khayyam J. Math. 4, No. 2, 167-177 (2018). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Khayyam J. Math. 4, No. 2, 167--177 (2018; Zbl 1412.65037) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence for a family of sixth order Chebyshev-Halley-type methods in Banach space under weak conditions. (English) Zbl 1412.65031 Khayyam J. Math. 4, No. 1, 1-12 (2018). MSC: 65H10 65D10 65D99 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Khayyam J. Math. 4, No. 1, 1--12 (2018; Zbl 1412.65031) Full Text: DOI
Argyros, Ioannis K.; Santhosh, George Ball convergence theorems for general iterative procedures and their applications. (English) Zbl 1424.65074 Southeast Asian Bull. Math. 42, No. 3, 315-326 (2018). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{G. Santhosh}, Southeast Asian Bull. Math. 42, No. 3, 315--326 (2018; Zbl 1424.65074)
Bhalla, S.; Kumar, S.; Argyros, I. K.; Behl, Ramandeep A family of higher order derivative free methods for nonlinear systems with local convergence analysis. (English) Zbl 1413.65200 Comput. Appl. Math. 37, No. 5, 5807-5828 (2018). MSC: 65H10 41A58 65Y20 PDFBibTeX XMLCite \textit{S. Bhalla} et al., Comput. Appl. Math. 37, No. 5, 5807--5828 (2018; Zbl 1413.65200) Full Text: DOI
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Sunil Ball convergence of an efficient eighth order iterative method under weak conditions. (English) Zbl 1404.65045 Mathematics 6, No. 11, Paper No. 260, 8 p. (2018). MSC: 65H10 65J10 41A25 49M15 PDFBibTeX XMLCite \textit{J. R. Sharma} et al., Mathematics 6, No. 11, Paper No. 260, 8 p. (2018; Zbl 1404.65045) Full Text: DOI
Magreñán, Á. Alberto; Argyros, Ioannis K.; Orcos, Lara; Sicilia, Juan Antonio Secant-like methods for solving nonlinear models with applications to chemistry. (English) Zbl 1404.92229 J. Math. Chem. 56, No. 7, 1935-1957 (2018). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{Á. A. Magreñán} et al., J. Math. Chem. 56, No. 7, 1935--1957 (2018; Zbl 1404.92229) Full Text: DOI
Argyros, Ioannis K.; Sharma, Janak Raj; Kumar, Deepak On the local convergence of weighted-Newton methods under weak conditions in Banach spaces. (English) Zbl 1413.49037 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 47, 127-139 (2018). Reviewer: Włodzimierz Łenski (Poznań) MSC: 49M15 41A25 65H10 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 47, 127--139 (2018; Zbl 1413.49037)
Argyros, Ioannis K.; Kumar, Deepak; Sharma, Janak Raj Study of optimal eighth order weighted-Newton methods in Banach spaces. (English) Zbl 1397.49039 Commun. Korean Math. Soc. 33, No. 2, 677-693 (2018). MSC: 49M15 41A25 65H10 65J10 49K27 49J50 49M25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Commun. Korean Math. Soc. 33, No. 2, 677--693 (2018; Zbl 1397.49039) Full Text: DOI
Bhalla, S.; Kumar, S.; Argyros, I. K.; Behl, Ramandeep; Motsa, S. S. Higher-order modification of Steffensen’s method for solving system of nonlinear equations. (English) Zbl 1405.65072 Comput. Appl. Math. 37, No. 2, 1913-1940 (2018). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H10 65Y20 PDFBibTeX XMLCite \textit{S. Bhalla} et al., Comput. Appl. Math. 37, No. 2, 1913--1940 (2018; Zbl 1405.65072) Full Text: DOI
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Deepak Design and analysis of a new class of derivative-free optimal order methods for nonlinear equations. (English) Zbl 1404.65042 Int. J. Comput. Methods 15, No. 3, Article ID 1850010, 28 p. (2018). MSC: 65H05 PDFBibTeX XMLCite \textit{J. R. Sharma} et al., Int. J. Comput. Methods 15, No. 3, Article ID 1850010, 28 p. (2018; Zbl 1404.65042) Full Text: DOI
Sharma, Janak Raj; Argyros, Ioannis K. Local convergence of a Newton-Traub composition in Banach spaces. (English) Zbl 1388.49028 S\(\vec{\text{e}}\)MA J. 75, No. 1, 57-68 (2018). MSC: 49M15 47J25 65H10 49J50 PDFBibTeX XMLCite \textit{J. R. Sharma} and \textit{I. K. Argyros}, S\(\vec{\text{e}}\)MA J. 75, No. 1, 57--68 (2018; Zbl 1388.49028) Full Text: DOI
Argyros, Ioannis K.; Jidesh, P.; George, Santhosh On the local convergence of Newton-like methods with fourth and fifth order of convergence under hypotheses only on the first Fréchet derivative. (English) Zbl 1474.65153 Novi Sad J. Math. 47, No. 1, 1-15 (2017). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Novi Sad J. Math. 47, No. 1, 1--15 (2017; Zbl 1474.65153) Full Text: Link
Argyros, Ioannis K.; Jidesh, P.; George, Santhosh Ball convergence for second derivative free methods in Banach space. (English) Zbl 1397.65080 Int. J. Appl. Comput. Math. 3, No. 2, 713-720 (2017). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Int. J. Appl. Comput. Math. 3, No. 2, 713--720 (2017; Zbl 1397.65080) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball convergence for an inverse free jarratt-type method under Hölder conditions. (English) Zbl 1398.65111 Int. J. Appl. Comput. Math. 3, No. 1, 157-164 (2017). MSC: 65J15 47J25 45J05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Int. J. Appl. Comput. Math. 3, No. 1, 157--164 (2017; Zbl 1398.65111) Full Text: DOI
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S. Ball convergence for a family of quadrature-based methods for solving equations in Banach space. (English) Zbl 1404.65047 Int. J. Comput. Methods 14, No. 2, Article ID 1750017, 11 p. (2017). MSC: 65J15 47J05 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Int. J. Comput. Methods 14, No. 2, Article ID 1750017, 11 p. (2017; Zbl 1404.65047) Full Text: DOI
Argyros, Ioannis K.; Kansal, Munish; Kanwar, Vinay Ball convergence of a stable fourth-order family for solving nonlinear systems under weak conditions. (English) Zbl 1399.65058 Stud. Univ. Babeș-Bolyai, Math. 62, No. 1, 127-135 (2017). MSC: 65D10 65D99 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Stud. Univ. Babeș-Bolyai, Math. 62, No. 1, 127--135 (2017; Zbl 1399.65058) Full Text: DOI
Argyros, Ioannis K.; Sharma, Janak Raj; Kumar, Deepak Ball convergence of the Newton-Gauss method in Banach space. (English) Zbl 1381.65040 S\(\vec{\text{e}}\)MA J. 74, No. 4, 429-439 (2017). Reviewer: Bangti Jin (London) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., S\(\vec{\text{e}}\)MA J. 74, No. 4, 429--439 (2017; Zbl 1381.65040) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence of a fifth convergence order method in Banach space. (English) Zbl 1367.65080 Arab J. Math. Sci. 23, No. 2, 205-214 (2017). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Arab J. Math. Sci. 23, No. 2, 205--214 (2017; Zbl 1367.65080) Full Text: DOI
Magreñán, Á. Alberto; Argyros, Ioannis K. New improved convergence analysis for the secant method. (English) Zbl 1527.65039 Math. Comput. Simul. 119, 161-170 (2016). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{Á. A. Magreñán} and \textit{I. K. Argyros}, Math. Comput. Simul. 119, 161--170 (2016; Zbl 1527.65039) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball convergence of a novel Newton-Traub composition for solving equations. (English) Zbl 1426.65076 Cogent Math. 3, Article ID 1155333, 9 p. (2016). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Cogent Math. 3, Article ID 1155333, 9 p. (2016; Zbl 1426.65076) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Improved convergence for King-Werner-type derivative free methods. (English) Zbl 1413.65227 J. Nonlinear Anal. Optim. 7, No. 2, 97-103 (2016). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, J. Nonlinear Anal. Optim. 7, No. 2, 97--103 (2016; Zbl 1413.65227) Full Text: Link
Argyros, Ioannis K.; Khattri, Sanjay K. An improved semilocal convergence analysis for the midpoint method. (English) Zbl 1399.65119 J. Numer. Anal. Approx. Theory 45, No. 2, 109-127 (2016). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. K. Khattri}, J. Numer. Anal. Approx. Theory 45, No. 2, 109--127 (2016; Zbl 1399.65119)
Argyros, Ioannis K.; George, Santhosh Local convergence of some fifth- and sixth-order iterative methods. (English) Zbl 1357.65065 Nonlinear Funct. Anal. Appl. 21, No. 3, 413-424 (2016). MSC: 65J15 47J25 47J05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Nonlinear Funct. Anal. Appl. 21, No. 3, 413--424 (2016; Zbl 1357.65065)
Argyros, Ioannis K.; George, Santhosh Local convergence for a family of cubically convergent methods in Banach space. (English) Zbl 1355.65072 Nonlinear Funct. Anal. Appl. 21, No. 2, 263-272 (2016). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Nonlinear Funct. Anal. Appl. 21, No. 2, 263--272 (2016; Zbl 1355.65072)
Anastassiou, George A.; Argyros, Ioannis K. On the convergence of iterative methods with applications in generalized fractional calculus. (English) Zbl 1347.26016 Nonlinear Funct. Anal. Appl. 21, No. 1, 105-120 (2016). MSC: 26A33 65G99 47J25 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, Nonlinear Funct. Anal. Appl. 21, No. 1, 105--120 (2016; Zbl 1347.26016)
Argyros, Ioannis K.; George, Santhosh Local convergence of deformed Jarratt-type methods in Banach space without inverses. (English) Zbl 1339.65072 Asian-Eur. J. Math. 9, No. 1, Article ID 1650015, 12 p. (2016). Reviewer: Bangti Jin (London) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Asian-Eur. J. Math. 9, No. 1, Article ID 1650015, 12 p. (2016; Zbl 1339.65072) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball convergence of some fourth and sixth-order iterative methods. (English) Zbl 1354.47040 Asian-Eur. J. Math. 9, No. 2, Article ID 1650034, 13 p. (2016). Reviewer: Bangti Jin (London) MSC: 47J25 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Asian-Eur. J. Math. 9, No. 2, Article ID 1650034, 13 p. (2016; Zbl 1354.47040) Full Text: DOI
Argyros, Ioannis K.; Magreñán, Á. Alberto Extending the convergence domain of Newton’s method for twice Fréchet differentiable operators. (English) Zbl 1338.65142 Anal. Appl., Singap. 14, No. 2, 303-319 (2016). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{Á. A. Magreñán}, Anal. Appl., Singap. 14, No. 2, 303--319 (2016; Zbl 1338.65142) Full Text: DOI
Anastassiou, George A.; Argyros, Ioannis K. Approximating fixed points with applications in fractional calculus. (English) Zbl 1337.26007 J. Comput. Anal. Appl. 21, No. 7, 1225-1242 (2016). MSC: 26A33 65G99 47J25 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, J. Comput. Anal. Appl. 21, No. 7, 1225--1242 (2016; Zbl 1337.26007)
Argyros, Ioannis K.; George, Santhosh Ball convergence for Traub-Steffensen like methods in Banach space. (English) Zbl 1513.65162 An. Univ. Vest Timiș., Ser. Mat.-Inform. 53, No. 2, 3-16 (2015). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, An. Univ. Vest Timiș., Ser. Mat.-Inform. 53, No. 2, 3--16 (2015; Zbl 1513.65162) Full Text: DOI
Anastassiou, George A.; Argyros, Ioannis K. Newton-type methods on generalized Banach spaces and applications in fractional calculus. (English) Zbl 1461.65097 Algorithms (Basel) 8, No. 4, 832-849 (2015). MSC: 65J15 26A33 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, Algorithms (Basel) 8, No. 4, 832--849 (2015; Zbl 1461.65097) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh On the semilocal convergence of a two step Newton method under the \(\gamma\)-condition. (English) Zbl 1413.65224 J. Nonlinear Anal. Optim. 6, No. 2, 73-84 (2015). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, J. Nonlinear Anal. Optim. 6, No. 2, 73--84 (2015; Zbl 1413.65224) Full Text: Link
George, Santhosh; Argyros, Ioannis K. Local convergence of a multi-point Jarratt-type method in Banach space under weak conditions. (English) Zbl 1413.65233 J. Nonlinear Anal. Optim. 6, No. 2, 43-52 (2015). MSC: 65J15 PDFBibTeX XMLCite \textit{S. George} and \textit{I. K. Argyros}, J. Nonlinear Anal. Optim. 6, No. 2, 43--52 (2015; Zbl 1413.65233) Full Text: Link
Magreñán, Á. Alberto; Argyros, Ioannis K. New semilocal and local convergence analysis for the secant method. (English) Zbl 1410.65222 Appl. Math. Comput. 262, 298-307 (2015). MSC: 65J15 47J05 47J25 PDFBibTeX XMLCite \textit{Á. A. Magreñán} and \textit{I. K. Argyros}, Appl. Math. Comput. 262, 298--307 (2015; Zbl 1410.65222) Full Text: DOI
Anastassiou, George A.; Argyros, Ioannis K. Semilocal convegence of Newton-like methods under general conditions, with applications in fractional calculus. (English) Zbl 1399.65116 J. Numer. Anal. Approx. Theory 44, No. 2, 113-126 (2015). MSC: 65G99 65H10 26A33 47J25 47J05 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, J. Numer. Anal. Approx. Theory 44, No. 2, 113--126 (2015; Zbl 1399.65116)
Argyros, Ioannis K.; George, Santhosh Ball convergence comparision between twoi sixth order Newton-Jarratt composition methods. (English) Zbl 1399.65055 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 44, 119-132 (2015). MSC: 65D10 65D99 47J25 45J05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 44, 119--132 (2015; Zbl 1399.65055)
Argyros, Ioannis K.; George, Santhosh Local convergence of modified Halley-like methods. (English) Zbl 1468.65057 Novi Sad J. Math. 45, No. 2, 47-58 (2015). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Novi Sad J. Math. 45, No. 2, 47--58 (2015; Zbl 1468.65057) Full Text: DOI
Argyros, I. K.; Khattri, S. K. Improved error analysis of Newton’s method for a certain class of operators. (English) Zbl 1374.65092 Stud. Univ. Babeș-Bolyai, Math. 60, No. 1, 109-122 (2015). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. K. Khattri}, Stud. Univ. Babeș-Bolyai, Math. 60, No. 1, 109--122 (2015; Zbl 1374.65092)
Argyros, Ioannis K.; George, Santhosh Ball convergence for higher order methods under weak conditions. (English) Zbl 1349.65181 J. Math. Study 48, No. 4, 362-374 (2015). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, J. Math. Study 48, No. 4, 362--374 (2015; Zbl 1349.65181) Full Text: DOI
Ren, Hongmin; Argyros, Ioannis K. On the convergence of King-Werner-type methods of order \(1 + \sqrt{2}\) free of derivatives. (English) Zbl 1338.65148 Appl. Math. Comput. 256, 148-159 (2015). MSC: 65J15 PDFBibTeX XMLCite \textit{H. Ren} and \textit{I. K. Argyros}, Appl. Math. Comput. 256, 148--159 (2015; Zbl 1338.65148) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball convergence for a ninth order Newton-type method from quadrature and a domain formulae in Banach space. (English) Zbl 1341.65020 Nonlinear Funct. Anal. Appl. 20, No. 4, 595-608 (2015). Reviewer: José Manuel Gutiérrez Jimenez (Logrono) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Nonlinear Funct. Anal. Appl. 20, No. 4, 595--608 (2015; Zbl 1341.65020)
Argyros, I. K.; Ezquerro, J. A.; Hernández, M. A.; Hilout, S.; Romero, N.; Vela, A. I. Expanding the applicability of secant-like methods for solving nonlinear equations. (English) Zbl 1349.65179 Carpathian J. Math. 31, No. 1, 11-30 (2015). MSC: 65J15 47J25 65R20 45G10 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Carpathian J. Math. 31, No. 1, 11--30 (2015; Zbl 1349.65179)
Argyros, Ioannis K.; George, Santhosh On a sixth-order Jarratt-type method in Banach spaces. (English) Zbl 1334.65097 Asian-Eur. J. Math. 8, No. 4, Article ID 1550065, 12 p. (2015). Reviewer: Bangti Jin (London) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Asian-Eur. J. Math. 8, No. 4, Article ID 1550065, 12 p. (2015; Zbl 1334.65097) Full Text: DOI
Anastassiou, George A.; Argyros, Ioannis K. Convergence for iterative methods on Banach spaces of a convergence structure with applications to fractional calculus. (English) Zbl 1400.65028 S\(\vec{\text{e}}\)MA J. 71, No. 1, 23-37 (2015). MSC: 65J15 26A33 47J05 47J25 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, S\(\vec{\text{e}}\)MA J. 71, No. 1, 23--37 (2015; Zbl 1400.65028) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence for some high convergence order Newton-like methods with frozen derivatives. (English) Zbl 1329.65113 S\(\vec{\text{e}}\)MA J. 70, No. 1, 47-59 (2015). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, S\(\vec{\text{e}}\)MA J. 70, No. 1, 47--59 (2015; Zbl 1329.65113) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence for a multi-point family of super-Halley methods in a Banach space under weak conditions. (English) Zbl 1334.65096 Appl. Math. 42, No. 2-3, 193-203 (2015). Reviewer: Bangti Jin (London) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. 42, No. 2--3, 193--203 (2015; Zbl 1334.65096) Full Text: DOI
Magreñán, Á. Alberto; Argyros, Ioannis K. Expanding the applicability of secant method with applications. (English) Zbl 1319.47056 Bull. Korean Math. Soc. 52, No. 3, 865-880 (2015). MSC: 47J25 49M15 65J15 PDFBibTeX XMLCite \textit{Á. A. Magreñán} and \textit{I. K. Argyros}, Bull. Korean Math. Soc. 52, No. 3, 865--880 (2015; Zbl 1319.47056) Full Text: DOI Link
Argyros, Ioannis Konstantinos; Cho, Yeol Je; Khattri, Sanjay Kumar New convergence conditions for the secant method. (English) Zbl 1321.65087 J. Nonlinear Convex Anal. 16, No. 5, 891-906 (2015). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Nonlinear Convex Anal. 16, No. 5, 891--906 (2015; Zbl 1321.65087) Full Text: Link
Argyros, Ioannis K.; Ren, Hongmin On the convergence of efficient King-Werner-type methods of order \(1 + \sqrt{2}\). (English) Zbl 1314.65073 J. Comput. Appl. Math. 285, 169-180 (2015). MSC: 65H10 65J15 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{H. Ren}, J. Comput. Appl. Math. 285, 169--180 (2015; Zbl 1314.65073) Full Text: DOI
Magreñán, Ángel Alberto; Argyros, Ioannis K. An extension of a theorem by Wang for Smale’s \(\alpha\)-theory and applications. (English) Zbl 1432.65067 Numer. Algorithms 68, No. 1, 47-60 (2015). MSC: 65J15 65H05 49M15 PDFBibTeX XMLCite \textit{Á. A. Magreñán} and \textit{I. K. Argyros}, Numer. Algorithms 68, No. 1, 47--60 (2015; Zbl 1432.65067) Full Text: DOI
Magreñán, Á. Alberto; Argyros, Ioannis K. Optimizing the applicability of a theorem by F. Potra for Newton-like methods. (English) Zbl 1336.65102 Appl. Math. Comput. 242, 612-623 (2014). MSC: 65J15 PDFBibTeX XMLCite \textit{Á. A. Magreñán} and \textit{I. K. Argyros}, Appl. Math. Comput. 242, 612--623 (2014; Zbl 1336.65102) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence of a multi-point-parameter Newton-like methods in Banach space. (English) Zbl 1321.65086 Nonlinear Funct. Anal. Appl. 19, No. 3, 379-390 (2014). Reviewer: Bangti Jin (London) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Nonlinear Funct. Anal. Appl. 19, No. 3, 379--390 (2014; Zbl 1321.65086)
Argyros, Ioannis K.; George, Santhosh On a deformed Newton’s method with third order of convergence under the \(\gamma\)-condition. (English) Zbl 1317.65124 Adv. Appl. Math. Sci. 13, No. 1, 1-17 (2014). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 65J15 47J25 45G10 47H30 65R20 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Adv. Appl. Math. Sci. 13, No. 1, 1--17 (2014; Zbl 1317.65124)
Ren, Hongmin; Argyros, Ioannis K.; Cho, Yeol Je Semilocal convergence of Steffensen-type algorithms for solving nonlinear equations. (English) Zbl 1320.65084 Numer. Funct. Anal. Optim. 35, No. 11, 1476-1499 (2014). Reviewer: Vasilis Dimitriou (Chania) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{H. Ren} et al., Numer. Funct. Anal. Optim. 35, No. 11, 1476--1499 (2014; Zbl 1320.65084) Full Text: DOI
Argyros, Ioannis K.; Hilout, Saïd Weaker convergence conditions for the secant method. (English) Zbl 1340.65109 Appl. Math., Praha 59, No. 3, 265-284 (2014). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. Hilout}, Appl. Math., Praha 59, No. 3, 265--284 (2014; Zbl 1340.65109) Full Text: DOI Link
Argyros, Ioannis K.; Hilout, Saïd; Khattri, Sanjay K. Expanding the applicability of Newton’s method using Smale’s \(\alpha\)-theory. (English) Zbl 1291.65167 J. Comput. Appl. Math. 261, 183-200 (2014). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Comput. Appl. Math. 261, 183--200 (2014; Zbl 1291.65167) Full Text: DOI
Argyros, I. K.; Khattri, S. K. Weaker Kantorovich type criteria for inexact Newton methods. (English) Zbl 1278.65064 J. Comput. Appl. Math. 261, 103-117 (2014). MSC: 65H10 65J20 65G99 65B05 65N30 76M10 76W05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. K. Khattri}, J. Comput. Appl. Math. 261, 103--117 (2014; Zbl 1278.65064) Full Text: DOI
Argyros, Ioannis K.; Khattri, Sanjay K.; Hilout, Saïd Expanding the applicability of inexact Newton methods under Smale’s (\(\alpha\), \(\gamma\))-theory. (English) Zbl 1336.65099 Appl. Math. Comput. 224, 224-237 (2013). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Appl. Math. Comput. 224, 224--237 (2013; Zbl 1336.65099) Full Text: DOI
Argyros, Ioannis K.; Hilout, Saïd On an improved convergence analysis of Newton’s method. (English) Zbl 1336.65098 Appl. Math. Comput. 225, 372-386 (2013). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. Hilout}, Appl. Math. Comput. 225, 372--386 (2013; Zbl 1336.65098) Full Text: DOI
Argyros, Ioannis K.; Khattri, Sanjay K. On an iterative algorithm of Ulm-type for solving equations. (English) Zbl 1349.65184 Rev. Anal. Numér. Théor. Approx. 42, No. 2, 103-114 (2013). Reviewer: Hang Lau (Montreal) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. K. Khattri}, Rev. Anal. Numér. Théor. Approx. 42, No. 2, 103--114 (2013; Zbl 1349.65184)
Argyros, Ioannis K.; Khattri, Sanjay K. An intermediate Newton-Kantorovich method for solving nonlinear equations. (English) Zbl 1313.65121 Mathematica 55(78), No. 2, 112-124 (2013). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. K. Khattri}, Mathematica 55(78), No. 2, 112--124 (2013; Zbl 1313.65121)
Argyros, I. K.; Hilout, S. Superquadratic method for generalized equations under relaxed conditions. (English) Zbl 1291.47051 J. Math., Punjab Univ. 45, 1-7 (2013). MSC: 47J25 49J53 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. Hilout}, J. Math., Punjab Univ. 45, 1--7 (2013; Zbl 1291.47051) Full Text: Link
Argyros, Ioannis K.; Cho, Yeol Je; George, Santhosh Expanding the applicability of Lavrentiev regularization methods for ill-posed problems. (English) Zbl 1293.65083 Bound. Value Probl. 2013, Paper No. 114, 15 p. (2013). MSC: 65J15 65J20 47J06 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Bound. Value Probl. 2013, Paper No. 114, 15 p. (2013; Zbl 1293.65083) Full Text: DOI