Argyros, Ioannis K.; George, Santhosh On a unified convergence analysis for Newton-type methods solving generalized equations with the Aubin property. (English) Zbl 07805472 J. Complexity 81, Article ID 101817, 16 p. (2024). MSC: 65K15 90C31 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, J. Complexity 81, Article ID 101817, 16 p. (2024; Zbl 07805472) Full Text: DOI
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
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
Muhammed Saeed, K.; Krishnendu, R.; George, Santhosh; Padikkal, Jidesh On the convergence of Homeier method and its extensions. (English) Zbl 07667029 J. Anal. 31, No. 1, 645-656 (2023). MSC: 65-XX 41A25 49M15 65D99 PDFBibTeX XMLCite \textit{K. Muhammed Saeed} et al., J. Anal. 31, No. 1, 645--656 (2023; Zbl 07667029) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh; Argyros, Christopher Extended local convergence and comparisons for two three-step Jarratt-type methods under the same conditions. (English) Zbl 1516.65040 Appl. Math. 49, No. 2, 197-207 (2022). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Appl. Math. 49, No. 2, 197--207 (2022; Zbl 1516.65040) Full Text: DOI
Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh; Argyros, Christopher On a novel seventh convergence order method for solving nonlinear equations and its extensions. (English) Zbl 1504.65120 Asian-Eur. J. Math. 15, No. 11, Article ID 2250191, 10 p. (2022). MSC: 65J20 PDFBibTeX XMLCite \textit{S. Regmi} et al., Asian-Eur. J. Math. 15, No. 11, Article ID 2250191, 10 p. (2022; Zbl 1504.65120) Full Text: DOI
Krishnendu, R.; Saeed, M.; George, S.; Jidesh, P. On Newton’s midpoint-type iterative Scheme’s convergence. (English) Zbl 1503.65117 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 266, 11 p. (2022). MSC: 65J15 PDFBibTeX XMLCite \textit{R. Krishnendu} et al., Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 266, 11 p. (2022; Zbl 1503.65117) Full Text: DOI
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
Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh; Argyros, Christopher I. On the convergence of a novel seventh convergence order schemes for solving equations. (English) Zbl 1495.65073 J. Anal. 30, No. 3, 941-958 (2022). MSC: 65J15 PDFBibTeX XMLCite \textit{S. Regmi} et al., J. Anal. 30, No. 3, 941--958 (2022; Zbl 1495.65073) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh; Argyros, Christoper On the complexity of convergence for high order iterative methods. (English) Zbl 1498.65073 J. Complexity 73, Article ID 101678, 14 p. (2022). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Complexity 73, Article ID 101678, 14 p. (2022; Zbl 1498.65073) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball convergence of an efficient multi-step scheme for solving equations and systems of equations. (English) Zbl 1492.65146 Appl. Math. 49, No. 1, 103-112 (2022). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. 49, No. 1, 103--112 (2022; Zbl 1492.65146) Full Text: DOI
Argyros, I. K.; George, S.; Argyros, C. A ball comparison between extended modified Jarratt methods under the same set of conditions for solving equations and systems of equations. (English) Zbl 1490.65107 Probl. Anal. Issues Anal. 11(29), No. 1, 32-44 (2022). MSC: 65J20 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Probl. Anal. Issues Anal. 11(29), No. 1, 32--44 (2022; Zbl 1490.65107) Full Text: DOI MNR
Argyros, Ioannis Konstantinos; George, Santhosh Extended convergence of Jarratt type methods. (English) Zbl 1498.65074 Appl. Math. E-Notes 21, 89-96 (2021). MSC: 65J15 47J05 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. E-Notes 21, 89--96 (2021; Zbl 1498.65074) Full Text: Link
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; George, Santhosh Unified ball convergence of third and fourth convergence order algorithms under \(omega\)-continuity conditions. (English) Zbl 1499.65166 J. Math. Model. 9, No. 2, 173-183 (2021). MSC: 65H05 65J15 49M15 PDFBibTeX XMLCite \textit{G. Argyros} et al., J. Math. Model. 9, No. 2, 173--183 (2021; Zbl 1499.65166) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local comparison between two-step methods under the same conditions. (English) Zbl 1488.65130 Afr. Mat. 32, No. 5-6, 1087-1094 (2021). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Afr. Mat. 32, No. 5--6, 1087--1094 (2021; Zbl 1488.65130) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball comparison between four fourth convergence order methods under the same set of hypotheses for solving equations. (English) Zbl 1460.65057 Int. J. Appl. Comput. Math. 7, No. 1, Paper No. 9, 12 p. (2021). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Int. J. Appl. Comput. Math. 7, No. 1, Paper No. 9, 12 p. (2021; Zbl 1460.65057) Full Text: DOI
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.; Cho, Yeol Je; George, Santhosh; Xiao, Yibin Local convergence of inexact Newton-like method under weak Lipschitz conditions. (English) Zbl 1499.65201 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 1, 199-210 (2020). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 1, 199--210 (2020; Zbl 1499.65201) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Convergence analysis for single point Newton-type iterative schemes. (English) Zbl 1475.65032 J. Appl. Math. Comput. 62, No. 1-2, 55-65 (2020). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, J. Appl. Math. Comput. 62, No. 1--2, 55--65 (2020; Zbl 1475.65032) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh; Erappa, Shobha M. Extending the applicability of high-order iterative schemes under Kantorovich hypotheses and restricted convergence regions. (English) Zbl 1461.65100 Rend. Circ. Mat. Palermo (2) 69, No. 3, 1107-1113 (2020). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Rend. Circ. Mat. Palermo (2) 69, No. 3, 1107--1113 (2020; Zbl 1461.65100) Full Text: DOI
Argyros, I. K.; George, S. Comparison between some sixth convergence order solvers under the same set of criteria. (English) Zbl 1459.65070 Probl. Anal. Issues Anal. 9(27), No. 3, 54-65 (2020). MSC: 65J15 49M15 41A25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Probl. Anal. Issues Anal. 9(27), No. 3, 54--65 (2020; Zbl 1459.65070) Full Text: DOI MNR
Argyros, Ioannis K.; George, Santhosh Two-point methods for solving equations and systems of equations. (English) Zbl 1452.65098 Appl. Math. 47, No. 2, 255-272 (2020). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. 47, No. 2, 255--272 (2020; Zbl 1452.65098) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball convergence for a sixth-order multi-point method in Banach spaces under weak conditions. (English) Zbl 1468.65061 Appl. Math. 47, No. 1, 133-144 (2020). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. 47, No. 1, 133--144 (2020; Zbl 1468.65061) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh On the complexity of extending the convergence region for Traub’s method. (English) Zbl 1468.65060 J. Complexity 56, Article ID 101423, 11 p. (2020). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, J. Complexity 56, Article ID 101423, 11 p. (2020; Zbl 1468.65060) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh; Erappa, Shobha M. Increasing the order of convergence of multistep methods for solving systems of equations under weak conditions. (English) Zbl 1513.65164 An. Univ. Vest Timiș., Ser. Mat.-Inform. 57, No. 1, 53-65 (2019). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., An. Univ. Vest Timiș., Ser. Mat.-Inform. 57, No. 1, 53--65 (2019; Zbl 1513.65164) 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 a modified Newton-Jarratt’s composition under weak conditions. (English) Zbl 1463.65123 Commentat. Math. Univ. Carol. 60, No. 2, 221-231 (2019). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Commentat. Math. Univ. Carol. 60, No. 2, 221--231 (2019; Zbl 1463.65123) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Unified convergence for multi-point super Halley-type methods with parameters in Banach space. (English) Zbl 1425.65067 Indian J. Pure Appl. Math. 50, No. 1, 1-13 (2019). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Indian J. Pure Appl. Math. 50, No. 1, 1--13 (2019; Zbl 1425.65067) 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, I. K.; Khattri, S. K.; George, S. Local convergence of an at least sixth-order method in Banach spaces. (English) Zbl 1412.65036 J. Fixed Point Theory Appl. 21, No. 1, Paper No. 23, 11 p. (2019). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Fixed Point Theory Appl. 21, No. 1, Paper No. 23, 11 p. (2019; Zbl 1412.65036) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Unified convergence analysis of frozen Newton-like methods under generalized conditions. (English) Zbl 1403.65023 J. Comput. Appl. Math. 347, 95-107 (2019). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, J. Comput. Appl. Math. 347, 95--107 (2019; Zbl 1403.65023) 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
Argyros, Ioannis K.; George, Santhosh Local convergence of bilinear operator free methods under weak conditions. (English) Zbl 1474.49055 Mat. Vesn. 70, No. 1, 1-11 (2018). MSC: 49M15 41A25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Mat. Vesn. 70, No. 1, 1--11 (2018; Zbl 1474.49055) Full Text: EMIS Link Link
Argyros, Ioannis K.; George, Santhosh Ball comparison between Jarratt’s and other fourth order method for solving equations. (English) Zbl 1435.65085 Cubo 20, No. 3, 65-79 (2018). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Cubo 20, No. 3, 65--79 (2018; Zbl 1435.65085) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence of a Hansen-Patrick-like family of optimal fourth order methods. (English) Zbl 1433.65096 TWMS J. Pure Appl. Math. 9, No. 1, 32-39 (2018). MSC: 65H20 65H05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, TWMS J. Pure Appl. Math. 9, No. 1, 32--39 (2018; Zbl 1433.65096) Full Text: Link
Argyros, Ioannis K.; George, Santhosh Semilocal convergence analysis of a fifth-order method using recurrence relations in Banach space under weak conditions. (English) Zbl 1469.65098 Appl. Math. 45, No. 2, 223-231 (2018). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. 45, No. 2, 223--231 (2018; Zbl 1469.65098) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball convergence of some iterative methods for nonlinear equations in Banach space under weak conditions. (English) Zbl 1468.65058 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 4, 1169-1177 (2018). MSC: 65J15 49M15 74G22 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 4, 1169--1177 (2018; Zbl 1468.65058) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence for an almost sixth order method for solving equations under weak conditions. (English) Zbl 1396.49021 S\(\vec{\text{e}}\)MA J. 75, No. 2, 163-171 (2018). MSC: 49M15 74G20 41A25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, S\(\vec{\text{e}}\)MA J. 75, No. 2, 163--171 (2018; Zbl 1396.49021) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence of Jarratt-type methods with less computation of inversion under weak conditions. (English) Zbl 1488.65134 Math. Model. Anal. 22, No. 2, 228-236 (2017). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Math. Model. Anal. 22, No. 2, 228--236 (2017; Zbl 1488.65134) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local results for an iterative method of convergence order six and efficiency index 1.8171. (English) Zbl 1488.65115 Novi Sad J. Math. 47, No. 2, 19-29 (2017). MSC: 65H05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Novi Sad J. Math. 47, No. 2, 19--29 (2017; Zbl 1488.65115) 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.; George, Santhosh Expanding the applicability of the Kantorovich’s theorem for solving generalized equations using Newton’s method. (English) Zbl 1397.65079 Int. J. Appl. Comput. Math. 3, No. 4, 3295-3304 (2017). MSC: 65J15 90C30 49J53 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Int. J. Appl. Comput. Math. 3, No. 4, 3295--3304 (2017; Zbl 1397.65079) Full Text: DOI
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.; George, Santhosh Local convergence of a multi-step high order method with divided differences under hypotheses on the first derivative. (English) Zbl 1382.65153 Ann. Univ. Paedagog. Crac., Stud. Math. 206(16), 41-50 (2017). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Ann. Univ. Paedagog. Crac., Stud. Math. 206(16), 41--50 (2017; Zbl 1382.65153) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh; Erappa, Shobha M. Ball convergence for an eighth order efficient method under weak conditions in Banach spaces. (English) Zbl 1381.65039 S\(\vec{\text{e}}\)MA J. 74, No. 4, 513-521 (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, 513--521 (2017; Zbl 1381.65039) 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
Argyros, Ioannis K.; George, Santhosh Convergence analysis of a three step Newton-like method for nonlinear equations in Banach space under weak conditions. (English) Zbl 1513.65163 An. Univ. Vest Timiș., Ser. Mat.-Inform. 54, No. 2, 37-46 (2016). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, An. Univ. Vest Timiș., Ser. Mat.-Inform. 54, No. 2, 37--46 (2016; Zbl 1513.65163) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Extended local analysis of inexact Gauss-Newton-like method for least square problems using restricted convergence domains. (English) Zbl 1513.65145 An. Univ. Vest Timiș., Ser. Mat.-Inform. 54, No. 1, 17-33 (2016). MSC: 65H10 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, An. Univ. Vest Timiș., Ser. Mat.-Inform. 54, No. 1, 17--33 (2016; Zbl 1513.65145) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Local convergence for an efficient eighth order iterative method with a parameter for solving equations under weak conditions. (English) Zbl 1420.65068 Int. J. Appl. Comput. Math. 2, No. 4, 565-574 (2016). MSC: 65H10 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Int. J. Appl. Comput. Math. 2, No. 4, 565--574 (2016; Zbl 1420.65068) 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 Unified convergence domains of Newton-like methods for solving operator equations. (English) Zbl 1410.65211 Appl. Math. Comput. 286, 106-114 (2016). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. Comput. 286, 106--114 (2016; Zbl 1410.65211) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball convergence of a sixth order iterative method with one parameter for solving equations under weak conditions. (English) Zbl 1377.65055 Calcolo 53, No. 4, 585-595 (2016). Reviewer: Anton Iliev (Plovdiv) MSC: 65H05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Calcolo 53, No. 4, 585--595 (2016; Zbl 1377.65055) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball convergence theorems for Maheshwari-type eighth-order methods under weak conditions. (English) Zbl 1348.65085 São Paulo J. Math. Sci. 10, No. 1, 91-103 (2016). MSC: 65H05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, São Paulo J. Math. Sci. 10, No. 1, 91--103 (2016; Zbl 1348.65085) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh; Erappa, Shobha Monnanda Local convergence for a family of iterative methods based on decomposition techniques. (English) Zbl 1347.65101 Appl. Math. 43, No. 1, 133-143 (2016). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Appl. Math. 43, No. 1, 133--143 (2016; Zbl 1347.65101) 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.; 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
Argyros, Ioannis K.; George, Santhosh Ball convergence comparison between three iterative methods in Banach space under hypothese only on the first derivative. (English) Zbl 1410.65210 Appl. Math. Comput. 266, 1031-1037 (2015). MSC: 65J15 47J05 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. Comput. 266, 1031--1037 (2015; Zbl 1410.65210) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Enlarging the convergence ball of the method of parabola for finding zero of derivatives. (English) Zbl 1338.65141 Appl. Math. Comput. 256, 68-74 (2015). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. Comput. 256, 68--74 (2015; Zbl 1338.65141) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Improved local convergence analysis of inexact Newton-like methods under the majorant condition. (English) Zbl 1331.90078 Appl. Math. 42, No. 4, 343-357 (2015). MSC: 90C30 65G99 65K10 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. 42, No. 4, 343--357 (2015; Zbl 1331.90078) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Ball comparison between two optimal eight-order methods under weak conditions. (English) Zbl 1332.65066 S\(\vec{\text{e}}\)MA J. 72, No. 1, 1-11 (2015). Reviewer: Anton Iliev (Plovdiv) MSC: 65H05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, S\(\vec{\text{e}}\)MA J. 72, No. 1, 1--11 (2015; Zbl 1332.65066) Full Text: DOI
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
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 Ball convergence theorems for eighth-order variants of Newton’s method under weak conditions. (English) Zbl 1328.65111 Arab. J. Math. 4, No. 2, 81-90 (2015). Reviewer: Anton Iliev (Plovdiv) MSC: 65H05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Arab. J. Math. 4, No. 2, 81--90 (2015; Zbl 1328.65111) Full Text: DOI