Hernández-Verón, Miguel Ángel; Magreñán, Ángel Alberto; Martínez, Eulalia; Singh, Sukhjit An improvement of derivative-free point-to-point iterative processes with central divided differences. (English) Zbl 07773930 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2781-2799 (2023). MSC: 45G10 47H17 65J15 PDFBibTeX XMLCite \textit{M. Á. Hernández-Verón} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2781--2799 (2023; Zbl 07773930) Full Text: DOI
Bhagat, Naveen Chandra; Parida, Pradip Kumar Gauss-Newton-Kurchatov method for the solution of non-linear least-square problems using \(\omega\)-condition. (English) Zbl 07772821 Georgian Math. J. 30, No. 6, 833-843 (2023). MSC: 65F20 65G99 65H10 49M15 PDFBibTeX XMLCite \textit{N. C. Bhagat} and \textit{P. K. Parida}, Georgian Math. J. 30, No. 6, 833--843 (2023; Zbl 07772821) Full Text: DOI
Yadav, Sonia; Singh, Sukhjit Global convergence domains for an efficient fifth order iterative scheme. (English) Zbl 07745944 J. Math. Chem. 61, No. 10, 2176-2191 (2023). MSC: 65R20 PDFBibTeX XMLCite \textit{S. Yadav} and \textit{S. Singh}, J. Math. Chem. 61, No. 10, 2176--2191 (2023; Zbl 07745944) Full Text: DOI
Yadav, Sonia; Singh, Sukhjit; Hernández-Verón, M. A.; Martínez, Eulalia; Kumar, Ajay; Badoni, R. P. About the existence and uniqueness of solutions for some second-order nonlinear BVPs. (English) Zbl 07736233 Appl. Math. Comput. 457, Article ID 128218, 11 p. (2023). MSC: 34B15 65J15 45G10 47H10 PDFBibTeX XMLCite \textit{S. Yadav} et al., Appl. Math. Comput. 457, Article ID 128218, 11 p. (2023; Zbl 07736233) 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
Sharma, R.; Gagandeep A study of the local convergence of a derivative free method in Banach spaces. (English) Zbl 1510.65107 J. Anal. 31, No. 2, 1257-1269 (2023). MSC: 65J15 49M15 65H05 65H10 PDFBibTeX XMLCite \textit{R. Sharma} and \textit{Gagandeep}, J. Anal. 31, No. 2, 1257--1269 (2023; Zbl 1510.65107) Full Text: DOI
Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh; Argyros, Christopher I. Kantorovich-type results for generalized equations with applications. (English) Zbl 1510.49025 J. Anal. 31, No. 2, 1191-1200 (2023). MSC: 49M15 49M37 65J15 65K05 PDFBibTeX XMLCite \textit{S. Regmi} et al., J. Anal. 31, No. 2, 1191--1200 (2023; Zbl 1510.49025) 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
Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh; Argyros, Michael Extended Kantorovich theory for solving nonlinear equations with applications. (English) Zbl 1506.65071 Comput. Appl. Math. 42, No. 2, Paper No. 76, 14 p. (2023). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{S. Regmi} et al., Comput. Appl. Math. 42, No. 2, Paper No. 76, 14 p. (2023; Zbl 1506.65071) Full Text: DOI
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Deepak Design and analysis of a faster King-Werner-type derivative free method. (English) Zbl 07801829 Bol. Soc. Parana. Mat. (3) 40, Paper No. 41, 18 p. (2022). MSC: 65H10 65J10 65G99 41A25 49M15 PDFBibTeX XMLCite \textit{J. R. Sharma} et al., Bol. Soc. Parana. Mat. (3) 40, Paper No. 41, 18 p. (2022; Zbl 07801829) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh An inverse free Broyden’s method for solving equations. (English) Zbl 1516.65039 Novi Sad J. Math. 52, No. 1, 1-16 (2022). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Novi Sad J. Math. 52, No. 1, 1--16 (2022; Zbl 1516.65039) Full Text: DOI
Regmi, Samundra; Argyros, Christopher Ioannis; Argyros, Ioannis Konstantinos; George, Santhosh Extended Newton’s method with applications to interior point algorithms of mathematical programming. (English) Zbl 1518.65051 Appl. Math. E-Notes 22, 273-280 (2022). MSC: 65H10 65K05 90C33 PDFBibTeX XMLCite \textit{S. Regmi} et al., Appl. Math. E-Notes 22, 273--280 (2022; Zbl 1518.65051) Full Text: Link
Khaton, M. Z.; Rashid, M. H. Extended Newton-type method for nonsmooth generalized equation under \((n, \alpha)\)-point-based approximation. (English) Zbl 1510.49024 Int. J. Math. Math. Sci. 2022, Article ID 7108996, 17 p. (2022). MSC: 49M15 90C53 47J22 PDFBibTeX XMLCite \textit{M. Z. Khaton} and \textit{M. H. Rashid}, Int. J. Math. Math. Sci. 2022, Article ID 7108996, 17 p. (2022; Zbl 1510.49024) 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
Kumari, Chandni; Parida, P. K. Study of semilocal convergence analysis of Chebyshev’s method under new type majorant conditions. (English) Zbl 1499.65206 S\(\vec{\text{e}}\)MA J. 79, No. 4, 677-697 (2022). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{C. Kumari} and \textit{P. K. Parida}, S\(\vec{\text{e}}\)MA J. 79, No. 4, 677--697 (2022; Zbl 1499.65206) Full Text: DOI
Argyros, Ioannis K.; Sharma, Debasis; Argyros, Christopher I.; Parhi, Sanjaya Kumar; Sunanda, Shanta Kumari; Argyros, Michael I. Extended three step sixth order Jarratt-like methods under generalized conditions for nonlinear equations. (English) Zbl 1505.65200 Arab. J. Math. 11, No. 3, 443-457 (2022). MSC: 65H10 47J05 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Arab. J. Math. 11, No. 3, 443--457 (2022; Zbl 1505.65200) Full Text: DOI
Kumar, Himanshu Local and semilocal convergence for Kurchatov method under \(\omega\)-continuity conditions. (English) Zbl 1520.65034 J. Anal. 30, No. 4, 1725-1741 (2022). MSC: 65J15 65H10 PDFBibTeX XMLCite \textit{H. Kumar}, J. Anal. 30, No. 4, 1725--1741 (2022; Zbl 1520.65034) Full Text: DOI
Gupta, Neha; Jaiswal, J. P. Ball convergence of modified Homeier-like method in Banach spaces under weak continuity condition. (English) Zbl 1513.65168 J. Indian Math. Soc., New Ser. 89, No. 3-4, 305-316 (2022). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{N. Gupta} and \textit{J. P. Jaiswal}, J. Indian Math. Soc., New Ser. 89, No. 3--4, 305--316 (2022; Zbl 1513.65168) 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
Noakes, Lyle; Zhang, Erchuan Finding geodesics joining given points. (English) Zbl 1503.53083 Adv. Comput. Math. 48, No. 4, Paper No. 50, 27 p. (2022). MSC: 53C22 49M15 PDFBibTeX XMLCite \textit{L. Noakes} and \textit{E. Zhang}, Adv. Comput. Math. 48, No. 4, Paper No. 50, 27 p. (2022; Zbl 1503.53083) Full Text: DOI
Argyros, Ioannis K.; Sharma, Debasis; Parhi, Sanjaya Kumar; Sunanda, Shanta Kumari A study on the local convergence and complex dynamics of Kou’s family of iterative methods. (English) Zbl 1501.39008 S\(\vec{\text{e}}\)MA J. 79, No. 2, 365-381 (2022). MSC: 39B12 37F10 41A25 47J25 65J15 65Y20 65H20 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., S\(\vec{\text{e}}\)MA J. 79, No. 2, 365--381 (2022; Zbl 1501.39008) Full Text: DOI
Rashid, Mohammed Harunor Metrically regular mapping and its utilization to convergence analysis of a restricted inexact Newton-type method. (English) Zbl 1491.65050 J. Comput. Math. 40, No. 1, 44-69 (2022). MSC: 65K10 65J15 90C30 47H04 49J53 PDFBibTeX XMLCite \textit{M. H. Rashid}, J. Comput. Math. 40, No. 1, 44--69 (2022; Zbl 1491.65050) 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
Ling, Yonghui; Liang, Juan; Lin, Weihua On semilocal convergence analysis for two-step Newton method under generalized Lipschitz conditions in Banach spaces. (English) Zbl 1492.65149 Numer. Algorithms 90, No. 2, 577-606 (2022). MSC: 65J15 49M15 47J25 PDFBibTeX XMLCite \textit{Y. Ling} et al., Numer. Algorithms 90, No. 2, 577--606 (2022; Zbl 1492.65149) Full Text: DOI arXiv
Ezquerro, J. A.; Hernández-Verón, M. A.; Magreñán, Á. A. How to increase the accessibility of Newton’s method for operators with center-Lipschitz continuous first derivative. (English) Zbl 1492.65147 Numer. Funct. Anal. Optim. 43, No. 3, 350-363 (2022). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., Numer. Funct. Anal. Optim. 43, No. 3, 350--363 (2022; Zbl 1492.65147) Full Text: DOI
Argyros, Ioannis K.; Sharma, Debasis; Argyros, Christopher I.; Parhi, Sanjaya Kumar; Sunanda, Shanta Kumari Extending the applicability and convergence domain of a higher-order iterative algorithm under \(\omega\) condition. (English) Zbl 07501051 Rend. Circ. Mat. Palermo (2) 71, No. 1, 469-482 (2022). MSC: 47H99 49M15 65J15 65D99 65G99 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Rend. Circ. Mat. Palermo (2) 71, No. 1, 469--482 (2022; Zbl 07501051) Full Text: DOI
Rashid, M. H.; Yuan, Ya-xiang Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings. (English) Zbl 07485285 Appl. Anal. 101, No. 1, 14-34 (2022). MSC: 47H04 49J53 65K10 PDFBibTeX XMLCite \textit{M. H. Rashid} and \textit{Y.-x. Yuan}, Appl. Anal. 101, No. 1, 14--34 (2022; Zbl 07485285) Full Text: DOI
Argyros, Ioannis K. Weaker convergence criteria for Traub’s method. (English) Zbl 07472477 J. Complexity 69, Article ID 101615, 18 p. (2022). Reviewer: Vasile Berinde (Baia Mare) MSC: 47J25 65J15 65G99 41A25 PDFBibTeX XMLCite \textit{I. K. Argyros}, J. Complexity 69, Article ID 101615, 18 p. (2022; Zbl 07472477) Full Text: DOI
Ezquerro, J. A.; Hernández-Verón, M. A. A new concept of convergence for iterative methods: restricted global convergence. (English) Zbl 1481.35188 J. Comput. Appl. Math. 405, Article ID 113051, 9 p. (2022). MSC: 35J60 47H99 65J15 PDFBibTeX XMLCite \textit{J. A. Ezquerro} and \textit{M. A. Hernández-Verón}, J. Comput. Appl. Math. 405, Article ID 113051, 9 p. (2022; Zbl 1481.35188) Full Text: DOI
Behl, Ramandeep; Arora, Himani CMMSE: a novel scheme having seventh-order convergence for nonlinear systems. (English) Zbl 1481.65074 J. Comput. Appl. Math. 404, Article ID 113301, 16 p. (2022). MSC: 65H10 65Y20 PDFBibTeX XMLCite \textit{R. Behl} and \textit{H. Arora}, J. Comput. Appl. Math. 404, Article ID 113301, 16 p. (2022; Zbl 1481.65074) Full Text: DOI
Behl, Ramandeep; Bhalla, Sonia; Magreñán, Á. A.; Kumar, Sanjeev An efficient high order iterative scheme for large nonlinear systems with dynamics. (English) Zbl 1481.65075 J. Comput. Appl. Math. 404, Article ID 113249, 16 p. (2022). MSC: 65H10 41A58 65Y20 PDFBibTeX XMLCite \textit{R. Behl} et al., J. Comput. Appl. Math. 404, Article ID 113249, 16 p. (2022; Zbl 1481.65075) Full Text: DOI
Hernández-Verón, M. A.; Martínez, Eulalia; Singh, Sukhjit A reliable treatment to solve nonlinear Fredholm integral equations with non-separable kernel. (English) Zbl 1480.65376 J. Comput. Appl. Math. 404, Article ID 113115, 13 p. (2022). MSC: 65R20 45B05 45G10 PDFBibTeX XMLCite \textit{M. A. Hernández-Verón} et al., J. Comput. Appl. Math. 404, Article ID 113115, 13 p. (2022; Zbl 1480.65376) Full Text: DOI
Bortoloti, M. A. A.; Fernandes, T. A.; Ferreira, O. P. An efficient damped Newton-type algorithm with globalization strategy on Riemannian manifolds. (English) Zbl 1480.90226 J. Comput. Appl. Math. 403, Article ID 113853, 15 p. (2022). MSC: 90C30 49M15 65K05 PDFBibTeX XMLCite \textit{M. A. A. Bortoloti} et al., J. Comput. Appl. Math. 403, Article ID 113853, 15 p. (2022; Zbl 1480.90226) Full Text: DOI
Gagandeep; Sharma, Rajni; Argyros, I. K. On the convergence of a fifth-order iterative method in Banach spaces. (English) Zbl 1511.47073 Bull. Math. Anal. Appl. 13, No. 1, 16-40 (2021). MSC: 47J25 49M15 65J15 PDFBibTeX XMLCite \textit{Gagandeep} et al., Bull. Math. Anal. Appl. 13, No. 1, 16--40 (2021; Zbl 1511.47073) Full Text: Link
Rashid, M. H. Lipschitz-like mapping and its application to convergence analysis of a variant of Newton’s method. (Russian. English summary) Zbl 07617332 Sib. Zh. Vychisl. Mat. 24, No. 2, 193-212 (2021). MSC: 47H04 49J53 65K10 90C30 PDFBibTeX XMLCite \textit{M. H. Rashid}, Sib. Zh. Vychisl. Mat. 24, No. 2, 193--212 (2021; Zbl 07617332) Full Text: DOI MNR
Keita, Sana; Beljadid, Abdelaziz; Bourgault, Yves Mass-conservative and positivity preserving second-order semi-implicit methods for high-order parabolic equations. (English) Zbl 07512373 J. Comput. Phys. 440, Article ID 110427, 25 p. (2021). MSC: 35Kxx 65Mxx 35Qxx PDFBibTeX XMLCite \textit{S. Keita} et al., J. Comput. Phys. 440, Article ID 110427, 25 p. (2021; Zbl 07512373) Full Text: DOI arXiv
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.; Sharma, Debasis; Argyros, Christopher I.; Parhi, Sanjaya Kumar; Sunanda, Shanta Kumari On the convergence of harmonic mean Newton method under \(\omega\) continuity condition in Banach spaces. (English) Zbl 1499.65204 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 219, 23 p. (2021). MSC: 65J15 49M15 65H10 65G99 65D99 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 219, 23 p. (2021; Zbl 1499.65204) 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, Ioannis K.; Sharma, Debasis; Parhi, Sanjaya Kumar Generalizing the local convergence analysis of a class of \(k\)-step iterative algorithms with Hölder continuous derivative in Banach spaces. (English) Zbl 07476389 Appl. Math. 48, No. 2, 155-171 (2021). MSC: 47H99 49M15 65J15 65D99 65G99 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Appl. Math. 48, No. 2, 155--171 (2021; Zbl 07476389) Full Text: DOI
Argyros, Ioannis K.; Shakhno, Stepan; Shunkin, Yuriy; Yarmola, Halyna Extended convergence analysis of the Newton-Potra method under weak conditions. (English) Zbl 1480.65129 Appl. Math. 48, No. 1, 101-110 (2021). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Appl. Math. 48, No. 1, 101--110 (2021; Zbl 1480.65129) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Expanding the applicability of Newton’s method and of a robust modified Newton’s method. (English) Zbl 1480.65116 Appl. Math. 48, No. 1, 89-100 (2021). MSC: 65H05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Appl. Math. 48, No. 1, 89--100 (2021; Zbl 1480.65116) Full Text: DOI
Parhi, Sanjaya Kumar; Sharma, Debasis On the local convergence of a sixth-order iterative scheme in Banach spaces. (English) Zbl 1507.65093 Paikray, Susanta Kumar (ed.) et al., New trends in applied analysis and computational mathematics. Proceedings of the international conference on advances in mathematics and computing, ICAMC 2020, Odisha, India, February 7–8, 2020. Singapore: Springer. Adv. Intell. Syst. Comput. 1356, 79-88 (2021). MSC: 65J15 PDFBibTeX XMLCite \textit{S. K. Parhi} and \textit{D. Sharma}, Adv. Intell. Syst. Comput. 1356, 79--88 (2021; Zbl 1507.65093) 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
Sharma, D.; Parhi, S. K.; Sunanda, S. K. Convergence of Traub’s iteration under \(\omega\) continuity condition in Banach spaces. (English. Russian original) Zbl 1480.65133 Russ. Math. 65, No. 9, 52-68 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 9, 61-79 (2021). MSC: 65J15 47J30 PDFBibTeX XMLCite \textit{D. Sharma} et al., Russ. Math. 65, No. 9, 52--68 (2021; Zbl 1480.65133); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 9, 61--79 (2021) Full Text: DOI
Ren, H. M.; Argyros, I. K. Achieving an extended convergence analysis for the secant method under a restricted Hölder continuity condition. (English) Zbl 1476.65092 S\(\vec{\text{e}}\)MA J. 78, No. 3, 335-345 (2021). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{H. M. Ren} and \textit{I. K. Argyros}, S\(\vec{\text{e}}\)MA J. 78, No. 3, 335--345 (2021; Zbl 1476.65092) Full Text: DOI
Moccari, Mandana; Lotfi, Taher Using majorizing sequences for the semi-local convergence of a high-order and multipoint iterative method along with stability analysis. (English) Zbl 1475.65034 J. Math. Ext. 15, No. 2, Paper No. 18, 32 p. (2021). MSC: 65J15 PDFBibTeX XMLCite \textit{M. Moccari} and \textit{T. Lotfi}, J. Math. Ext. 15, No. 2, Paper No. 18, 32 p. (2021; Zbl 1475.65034) Full Text: Link
Santos, P. S. M.; Silva, G. N.; Silva, R. C. M. Newton-type method for solving generalized inclusion. (English) Zbl 1482.65081 Numer. Algorithms 88, No. 4, 1811-1829 (2021). MSC: 65J15 49M15 49M37 PDFBibTeX XMLCite \textit{P. S. M. Santos} et al., Numer. Algorithms 88, No. 4, 1811--1829 (2021; Zbl 1482.65081) Full Text: DOI
Singh, Manoj Kumar; Singh, Arvind K. On a Newton-type method under weak conditions with dynamics. (English) Zbl 1473.65058 Asian-Eur. J. Math. 14, No. 8, Article ID 2150145, 16 p. (2021). MSC: 65H05 PDFBibTeX XMLCite \textit{M. K. Singh} and \textit{A. K. Singh}, Asian-Eur. J. Math. 14, No. 8, Article ID 2150145, 16 p. (2021; Zbl 1473.65058) Full Text: DOI
Casella, Francesco; Bachmann, Bernhard On the choice of initial guesses for the Newton-Raphson algorithm. (English) Zbl 1508.65051 Appl. Math. Comput. 398, Article ID 125991, 19 p. (2021). MSC: 65H10 PDFBibTeX XMLCite \textit{F. Casella} and \textit{B. Bachmann}, Appl. Math. Comput. 398, Article ID 125991, 19 p. (2021; Zbl 1508.65051) Full Text: DOI arXiv
Gupta, Dharmendra Kumar; Martínez, Eulalia; Singh, Sukhjit; Hueso, Jose Luis; Srivastava, Shwetabh; Kumar, Abhimanyu Recurrence relations for a family of iterations assuming Hölder continuous second order Fréchet derivative. (English) Zbl 1525.65046 Int. J. Nonlinear Sci. Numer. Simul. 22, No. 3-4, 267-285 (2021). MSC: 65J15 47H99 47J05 PDFBibTeX XMLCite \textit{D. K. Gupta} et al., Int. J. Nonlinear Sci. Numer. Simul. 22, No. 3--4, 267--285 (2021; Zbl 1525.65046) Full Text: DOI
Sharma, Debasis; Parhi, Sanjaya Kumar On the local convergence of higher order methods in Banach spaces. (English) Zbl 1515.47102 Fixed Point Theory 22, No. 2, 855-870 (2021). Reviewer: Ioannis Argyros (Lawton) MSC: 47J25 49M15 65J15 PDFBibTeX XMLCite \textit{D. Sharma} and \textit{S. K. Parhi}, Fixed Point Theory 22, No. 2, 855--870 (2021; Zbl 1515.47102) Full Text: Link
Deep, Amar; Dhiman, Deepak; Hazarika, Bipan; Abbas, Syed Solvability for two dimensional functional integral equations via Petryshyn’s fixed point theorem. (English) Zbl 1494.47129 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 160, 17 p. (2021). MSC: 47N20 45G10 47H09 47H10 PDFBibTeX XMLCite \textit{A. Deep} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 160, 17 p. (2021; Zbl 1494.47129) Full Text: DOI
de Oliveira, Fabiana R.; Oliveira, Fabrícia R. A global Newton method for the nonsmooth vector fields on Riemannian manifolds. (English) Zbl 1470.58007 J. Optim. Theory Appl. 190, No. 1, 259-273 (2021). MSC: 58C15 49J52 58C05 90C56 49M15 53C20 PDFBibTeX XMLCite \textit{F. R. de Oliveira} and \textit{F. R. Oliveira}, J. Optim. Theory Appl. 190, No. 1, 259--273 (2021; Zbl 1470.58007) Full Text: DOI
Kansal, Munish; Cordero, Alicia; Bhalla, Sonia; Torregrosa, Juan R. New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis. (English) Zbl 1470.65103 Numer. Algorithms 87, No. 3, 1017-1060 (2021). MSC: 65H10 65Y20 PDFBibTeX XMLCite \textit{M. Kansal} et al., Numer. Algorithms 87, No. 3, 1017--1060 (2021; Zbl 1470.65103) Full Text: DOI
Ren, Hongmin; Argyros, Ioannis K. On the complexity of extending the convergence ball of Wang’s method for finding a zero of a derivative. (English) Zbl 07361980 J. Complexity 64, Article ID 101526, 9 p. (2021). MSC: 47Jxx 65Hxx 65Jxx PDFBibTeX XMLCite \textit{H. Ren} and \textit{I. K. Argyros}, J. Complexity 64, Article ID 101526, 9 p. (2021; Zbl 07361980) Full Text: DOI
Sharma, Debasis; Parhi, Sanjaya Kumar On the local convergence of a third-order iterative scheme in Banach spaces. (English) Zbl 1521.65043 Rend. Circ. Mat. Palermo (2) 70, No. 1, 311-325 (2021). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{D. Sharma} and \textit{S. K. Parhi}, Rend. Circ. Mat. Palermo (2) 70, No. 1, 311--325 (2021; Zbl 1521.65043) Full Text: DOI
Sharma, Debasis; Parhi, Sanjaya Kumar; Sunanda, Shanta Kumari Extending the convergence domain of deformed Halley method under \(\omega\) condition in Banach spaces. (English) Zbl 07342839 Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 32, 14 p. (2021). MSC: 47H99 49M15 65J15 65D99 65G99 PDFBibTeX XMLCite \textit{D. Sharma} et al., Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 32, 14 p. (2021; Zbl 07342839) Full Text: DOI
Kumar, Himanshu On semilocal convergence of three-step Kurchatov method under weak condition. (English) Zbl 1467.65058 Arab. J. Math. 10, No. 1, 121-136 (2021). MSC: 65J15 PDFBibTeX XMLCite \textit{H. Kumar}, Arab. J. Math. 10, No. 1, 121--136 (2021; Zbl 1467.65058) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh; Erappa, Shobha M. Extending the applicability of Newton’s and secant methods under regular smoothness. (English) Zbl 1474.65152 Bol. Soc. Parana. Mat. (3) 39, No. 6, 195-210 (2021). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Bol. Soc. Parana. Mat. (3) 39, No. 6, 195--210 (2021; Zbl 1474.65152) Full Text: Link
James, Guillaume Traveling fronts in dissipative granular chains and nonlinear lattices. (English) Zbl 1462.37084 Nonlinearity 34, No. 3, 1758-1790 (2021). MSC: 37L60 37K60 35C07 70K44 74M20 74J30 49M15 PDFBibTeX XMLCite \textit{G. James}, Nonlinearity 34, No. 3, 1758--1790 (2021; Zbl 1462.37084) Full Text: DOI HAL
Kumar, Abhimanyua; Gupta, D. K.; Martínez, Eulalia; Hueso, José L. Convergence and dynamics of improved Chebyshev-secant-type methods for non differentiable operators. (English) Zbl 1489.65076 Numer. Algorithms 86, No. 3, 1051-1070 (2021). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{A. Kumar} et al., Numer. Algorithms 86, No. 3, 1051--1070 (2021; Zbl 1489.65076) 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.; Sharma, Debasis; Parhi, Sanjaya Kumar; Sunanda, Shanta Kumari On the convergence, dynamics and applications of a new class of nonlinear system solvers. (English) Zbl 1470.65100 Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 142, 21 p. (2020). MSC: 65H10 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Int. J. Appl. Comput. Math. 6, No. 5, Paper No. 142, 21 p. (2020; Zbl 1470.65100) Full Text: DOI
Sharma, Debasis; Parhi, Sanjaya Kumar Extending the applicability of a third-order scheme with Lipschitz and Hölder continuous derivative in Banach spaces. (English) Zbl 07329938 J. Egypt. Math. Soc. 28, Paper No. 27, 13 p. (2020). MSC: 47H99 49M15 65J15 65D99 65G99 65H05 PDFBibTeX XMLCite \textit{D. Sharma} and \textit{S. K. Parhi}, J. Egypt. Math. Soc. 28, Paper No. 27, 13 p. (2020; Zbl 07329938) Full Text: DOI
Argyros, Ioannis K.; Shakhno, Stepan Extended two-step-Kurchatov method for solving Banach space valued nondifferentiable equations. (English) Zbl 1461.65102 Int. J. Appl. Comput. Math. 6, No. 2, Paper No. 32, 13 p. (2020). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. Shakhno}, Int. J. Appl. Comput. Math. 6, No. 2, Paper No. 32, 13 p. (2020; Zbl 1461.65102) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Extending the applicability of a seventh order method without inverses of derivatives under weak conditions. (English) Zbl 1459.65071 Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 4, 9 p. (2020). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 4, 9 p. (2020; Zbl 1459.65071) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Extending the applicability of an Ulm-Newton-like method under generalized conditions in Banach space. (English) Zbl 1458.65060 Trans. A. Razmadze Math. Inst. 174, No. 1, 15-22 (2020). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Trans. A. Razmadze Math. Inst. 174, No. 1, 15--22 (2020; Zbl 1458.65060) Full Text: Link
Argyros, Ioannis K.; Sharma, Debasis; Parhi, Sanjaya Kumar On the local convergence of Weerakoon-Fernando method with \(\omega\) continuity condition in Banach spaces. (English) Zbl 07293754 S\(\vec{\text{e}}\)MA J. 77, No. 3, 291-304 (2020). Reviewer: Halima Nachid (Abidjan) MSC: 65J15 47J25 49M15 65D99 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., S\(\vec{\text{e}}\)MA J. 77, No. 3, 291--304 (2020; Zbl 07293754) Full Text: DOI
Argyros, Ioannis K.; Behl, Ramandeep; González, Daniel; Motsa, S. S. Local convergence for multistep high order methods under weak conditions. (English) Zbl 1452.65097 Appl. Math. 47, No. 2, 293-304 (2020). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Appl. Math. 47, No. 2, 293--304 (2020; Zbl 1452.65097) Full Text: DOI
Giusti, Marc; Yakoubsohn, Jean-Claude Numerical approximation of multiple isolated roots of analytical systems. (Approximation numérique de racines isolées multiples de systèmes analytiques.) (French. English summary) Zbl 1453.65107 Ann. Henri Lebesgue 3, 901-957 (2020). MSC: 65H10 65Y20 68Q25 68W30 PDFBibTeX XMLCite \textit{M. Giusti} and \textit{J.-C. Yakoubsohn}, Ann. Henri Lebesgue 3, 901--957 (2020; Zbl 1453.65107) Full Text: DOI arXiv
Barrada, Mohammed; Ouaissa, Mariya; Rhazali, Yassine; Ouaissa, Mariyam A new class of Halley’s method with third-order convergence for solving nonlinear equations. (English) Zbl 1499.65168 J. Appl. Math. 2020, Article ID 3561743, 13 p. (2020). MSC: 65H05 PDFBibTeX XMLCite \textit{M. Barrada} et al., J. Appl. Math. 2020, Article ID 3561743, 13 p. (2020; Zbl 1499.65168) Full Text: DOI
Sharma, Debasis; Parhi, Sanjaya Kumar On the local convergence of modified Weerakoon’s method in Banach spaces. (English) Zbl 07261152 J. Anal. 28, No. 3, 867-877 (2020). MSC: 47H99 65D10 65D99 PDFBibTeX XMLCite \textit{D. Sharma} and \textit{S. K. Parhi}, J. Anal. 28, No. 3, 867--877 (2020; Zbl 07261152) Full Text: DOI
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Sunil A faster King-Werner-type iteration and its convergence analysis. (English) Zbl 1462.65061 Appl. Anal. 99, No. 14, 2526-2542 (2020). MSC: 65J15 PDFBibTeX XMLCite \textit{J. R. Sharma} et al., Appl. Anal. 99, No. 14, 2526--2542 (2020; Zbl 1462.65061) Full Text: DOI
Ataei Delshad, Parandoosh; Lotfi, Taher On the local convergence of Kung-Traub’s two-point method and its dynamics. (English) Zbl 07250668 Appl. Math., Praha 65, No. 4, 379-406 (2020). MSC: 65F10 65H04 37P40 37Fxx PDFBibTeX XMLCite \textit{P. Ataei Delshad} and \textit{T. Lotfi}, Appl. Math., Praha 65, No. 4, 379--406 (2020; Zbl 07250668) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh; Sahu, Daya Ram Extensions of Kantorovich-type theorems for Newton’s method. (English) Zbl 1468.65062 Appl. Math. 47, No. 1, 145-153 (2020). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Appl. Math. 47, No. 1, 145--153 (2020; Zbl 1468.65062) 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, I. K.; Ceballos, J.; González, D.; Gutiérrez, J. M. Extending the applicability of Newton’s method for a class of boundary value problems using the shooting method. (English) Zbl 1474.65151 Appl. Math. Comput. 384, Article ID 125378, 10 p. (2020). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Appl. Math. Comput. 384, Article ID 125378, 10 p. (2020; Zbl 1474.65151) Full Text: DOI
Sharma, Debasis; Parhi, Sanjaya Kumar Local convergence and complex dynamics of a uni-parametric family of iterative schemes. (English) Zbl 1452.65102 Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 83, 16 p. (2020). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{D. Sharma} and \textit{S. K. Parhi}, Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 83, 16 p. (2020; Zbl 1452.65102) Full Text: DOI
Sharma, Debasis; Parhi, Sanjaya Kumar Extending the applicability of a Newton-Simpson-like method. (English) Zbl 1482.65082 Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 79, 15 p. (2020). MSC: 65J15 49M15 PDFBibTeX XMLCite \textit{D. Sharma} and \textit{S. K. Parhi}, Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 79, 15 p. (2020; Zbl 1482.65082) Full Text: DOI
Behl, Ramandeep; Alshormani, Ali Saleh; Argyros, Ioannis K. Ball convergence for a multi-step harmonic mean Newton-like method in Banach space. (English) Zbl 07205460 Int. J. Comput. Methods 17, No. 5, Article ID 1940018, 15 p. (2020). MSC: 65D99 65D10 PDFBibTeX XMLCite \textit{R. Behl} et al., Int. J. Comput. Methods 17, No. 5, Article ID 1940018, 15 p. (2020; Zbl 07205460) Full Text: DOI
Alshomrani, Ali Saleh; Argyros, Ioannis K.; Behl, Ramandeep An optimal reconstruction of Chebyshev-Halley-type methods with local convergence analysis. (English) Zbl 07205459 Int. J. Comput. Methods 17, No. 5, Article ID 1940017, 23 p. (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. S. Alshomrani} et al., Int. J. Comput. Methods 17, No. 5, Article ID 1940017, 23 p. (2020; Zbl 07205459) Full Text: DOI
Gonçalves, M. L. N.; Oliveira, F. R. On the global convergence of an inexact quasi-Newton conditional gradient method for constrained nonlinear systems. (English) Zbl 1492.65135 Numer. Algorithms 84, No. 2, 609-631 (2020). MSC: 65H10 47J25 90C53 PDFBibTeX XMLCite \textit{M. L. N. Gonçalves} and \textit{F. R. Oliveira}, Numer. Algorithms 84, No. 2, 609--631 (2020; Zbl 1492.65135) Full Text: DOI arXiv
Modebei, Mark I.; Jator, S. N.; Ramos, Higinio Block hybrid method for the numerical solution of fourth order boundary value problems. (English) Zbl 1437.65079 J. Comput. Appl. Math. 377, Article ID 112876, 14 p. (2020). MSC: 65L10 65L20 PDFBibTeX XMLCite \textit{M. I. Modebei} et al., J. Comput. Appl. Math. 377, Article ID 112876, 14 p. (2020; Zbl 1437.65079) Full Text: DOI
Gutiérrez, José M.; Varona, Juan L. Superattracting extraneous fixed points and \(n\)-cycles for Chebyshev’s method on cubic polynomials. (English) Zbl 1440.37053 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 54, 23 p. (2020). MSC: 37F10 37F46 65H05 PDFBibTeX XMLCite \textit{J. M. Gutiérrez} and \textit{J. L. Varona}, Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 54, 23 p. (2020; Zbl 1440.37053) Full Text: DOI
Hernández-Verón, M. A.; Ibáñez, María; Martínez, Eulalia; Singh, Sukhjit Localization and separation of solutions for Fredholm integral equations. (English) Zbl 07184973 J. Math. Anal. Appl. 487, No. 2, Article ID 124008, 16 p. (2020). MSC: 65-XX 47-XX PDFBibTeX XMLCite \textit{M. A. Hernández-Verón} et al., J. Math. Anal. Appl. 487, No. 2, Article ID 124008, 16 p. (2020; Zbl 07184973) Full Text: DOI
Argyros, Ioannis K.; Kansal, Munish; Kanwar, V. Ball convergence for a three-point method with optimal convergence order eight under weak conditions. (English) Zbl 1435.65072 Asian-Eur. J. Math. 13, No. 2, Article ID 2050048, 10 p. (2020). MSC: 65H05 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Asian-Eur. J. Math. 13, No. 2, Article ID 2050048, 10 p. (2020; Zbl 1435.65072) Full Text: DOI
Argyros, Ioannis K.; Magreñán, Á. Alberto; Moreno, Daniel; Orcos, Lara; Sicilia, Juan Antonio Weaker conditions for inexact mutitpoint Newton-like methods. (English) Zbl 1433.65092 J. Math. Chem. 58, No. 3, 706-716 (2020). MSC: 65H10 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Math. Chem. 58, No. 3, 706--716 (2020; Zbl 1433.65092) Full Text: DOI
Tanaka, Kazuaki Numerical verification method for positive solutions of elliptic problems. (English) Zbl 1437.35397 J. Comput. Appl. Math. 370, Article ID 112647, 10 p. (2020). MSC: 35J91 35J25 65N15 PDFBibTeX XMLCite \textit{K. Tanaka}, J. Comput. Appl. Math. 370, Article ID 112647, 10 p. (2020; Zbl 1437.35397) Full Text: DOI arXiv
Singh, Vipin Kumar On the convergence of inexact Newton-like methods under mild differentiability conditions. (English) Zbl 1433.65103 Appl. Math. Comput. 370, Article ID 124871, 12 p. (2020). MSC: 65J15 47J25 49M15 65H10 PDFBibTeX XMLCite \textit{V. K. Singh}, Appl. Math. Comput. 370, Article ID 124871, 12 p. (2020; Zbl 1433.65103) 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
Kumar, Himanshu; Parida, P. K. On semilocal convergence of two step Kurchatov method. (English) Zbl 1499.65188 Int. J. Comput. Math. 96, No. 8, 1548-1566 (2019). MSC: 65H10 65J15 PDFBibTeX XMLCite \textit{H. Kumar} and \textit{P. K. Parida}, Int. J. Comput. Math. 96, No. 8, 1548--1566 (2019; Zbl 1499.65188) Full Text: DOI
Calvo, M.; Elipe, A.; Montijano, J. I.; Rández, L. A monotonic starter for solving the hyperbolic Kepler equation by Newton’s method. (English) Zbl 1451.70010 Celest. Mech. Dyn. Astron. 131, No. 4, Paper No. 18, 18 p. (2019). MSC: 70F05 65H05 PDFBibTeX XMLCite \textit{M. Calvo} et al., Celest. Mech. Dyn. Astron. 131, No. 4, Paper No. 18, 18 p. (2019; Zbl 1451.70010) Full Text: DOI
Shakhno, S. M.; Yarmola, H. P. Convergence of the Newton-Kurchatov method under weak conditions. (English. Russian original) Zbl 07182074 J. Math. Sci., New York 243, No. 1, 1-10 (2019); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 2, 7-13 (2017). MSC: 65J15 47J05 47J25 49M15 65H10 PDFBibTeX XMLCite \textit{S. M. Shakhno} and \textit{H. P. Yarmola}, J. Math. Sci., New York 243, No. 1, 1--10 (2019; Zbl 07182074); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 2, 7--13 (2017) Full Text: DOI
Candela, V.; Peris, R. A class of third order iterative Kurchatov-Steffensen (derivative free) methods for solving nonlinear equations. (English) Zbl 1429.65105 Appl. Math. Comput. 350, 93-104 (2019). MSC: 65H10 PDFBibTeX XMLCite \textit{V. Candela} and \textit{R. Peris}, Appl. Math. Comput. 350, 93--104 (2019; Zbl 1429.65105) Full Text: DOI
Argyros, Ioannis K.; Behl, Ramandeep; Tenreiro Machado, J. A.; Alshomrani, Ali Saleh Local convergence of iterative methods for solving equations and system of equations using weight function techniques. (English) Zbl 1429.65112 Appl. Math. Comput. 347, 891-902 (2019). MSC: 65J15 47J05 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Appl. Math. Comput. 347, 891--902 (2019; Zbl 1429.65112) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Expanding the applicability of an iterative regularization method for ill-posed problems. (English) Zbl 1435.65084 J. Nonlinear Var. Anal. 3, No. 3, 257-275 (2019). MSC: 65J15 47J06 65J20 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, J. Nonlinear Var. Anal. 3, No. 3, 257--275 (2019; Zbl 1435.65084) Full Text: DOI
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
Sakkalis, Takis; Ko, Kwanghee; Song, Galam Roots of quaternion polynomials: theory and computation. (English) Zbl 1453.12004 Theor. Comput. Sci. 800, 173-178 (2019). MSC: 12E15 16H05 16Z05 65H04 PDFBibTeX XMLCite \textit{T. Sakkalis} et al., Theor. Comput. Sci. 800, 173--178 (2019; Zbl 1453.12004) Full Text: DOI
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S. Ball convergence for a two-step fourth order derivative-free method for nonlinear equations. (English) Zbl 1433.65089 Appl. Math. 46, No. 2, 253-263 (2019). MSC: 65H05 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Appl. Math. 46, No. 2, 253--263 (2019; Zbl 1433.65089) Full Text: DOI