Singh, Harmandeep; Sharma, Janak Raj A fractional Traub-Steffensen-type method for solving nonlinear equations. (English) Zbl 07806995 Numer. Algorithms 95, No. 3, 1103-1126 (2024). MSC: 65H10 47J25 41A25 26A33 PDFBibTeX XMLCite \textit{H. Singh} and \textit{J. R. Sharma}, Numer. Algorithms 95, No. 3, 1103--1126 (2024; Zbl 07806995) Full Text: DOI
Nayak, Sapan Kumar; Parida, P. K. The dynamical analysis of a low computational cost family of higher-order fractional iterative method. (English) Zbl 1524.65205 Int. J. Comput. Math. 100, No. 6, 1395-1417 (2023). MSC: 65H05 26A33 PDFBibTeX XMLCite \textit{S. K. Nayak} and \textit{P. K. Parida}, Int. J. Comput. Math. 100, No. 6, 1395--1417 (2023; Zbl 1524.65205) Full Text: DOI
Ezquerro, J. A.; Hernández-Verón, M. A.; Magreñán, Á. A.; Moysi, A. A significant improvement of a family of secant-type methods. (English) Zbl 1524.65211 J. Comput. Appl. Math. 424, Article ID 115002, 16 p. (2023). MSC: 65J15 47J25 45G10 65R20 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., J. Comput. Appl. Math. 424, Article ID 115002, 16 p. (2023; Zbl 1524.65211) Full Text: DOI
Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P. Generalized conformable fractional Newton-type method for solving nonlinear systems. (English) Zbl 1522.65077 Numer. Algorithms 93, No. 3, 1171-1208 (2023). MSC: 65H10 PDFBibTeX XMLCite \textit{G. Candelario} et al., Numer. Algorithms 93, No. 3, 1171--1208 (2023; Zbl 1522.65077) 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
Shyamsunder; Bhatter, Sanjay; Jangid, Kamlesh; Purohit, Sunil Dutt A study of the hepatitis B virus infection using Hilfer fractional derivative. (English) Zbl 1519.92305 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, Spec. Iss., 100-117 (2022). MSC: 92D30 26A33 44A35 PDFBibTeX XMLCite \textit{Shyamsunder} et al., Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, 100--117 (2022; Zbl 1519.92305) Full Text: DOI
Sharma, Janak Raj; Kumar, Sunil; Argyros, Ioannis K. A class of higher-order Newton-like methods for systems of nonlinear equations. (English) Zbl 07542598 Int. J. Comput. Methods 19, No. 2, Article ID 2150059, 34 p. (2022). MSC: 65-XX 90-XX PDFBibTeX XMLCite \textit{J. R. Sharma} et al., Int. J. Comput. Methods 19, No. 2, Article ID 2150059, 34 p. (2022; Zbl 07542598) Full Text: DOI
Dubey, Ved Prakash; Singh, Jagdev; Alshehri, Ahmed M.; Dubey, Sarvesh; Kumar, Devendra Numerical investigation of fractional model of phytoplankton-toxic phytoplankton-zooplankton system with convergence analysis. (English) Zbl 1492.92129 Int. J. Biomath. 15, No. 4, Article ID 2250006, 52 p. (2022). MSC: 92D40 26A33 PDFBibTeX XMLCite \textit{V. P. Dubey} et al., Int. J. Biomath. 15, No. 4, Article ID 2250006, 52 p. (2022; Zbl 1492.92129) Full Text: DOI
Dubey, Ved Prakash; Singh, Jagdev; Alshehri, Ahmed M.; Dubey, Sarvesh; Kumar, Devendra An efficient analytical scheme with convergence analysis for computational study of local fractional Schrödinger equations. (English) Zbl 07487731 Math. Comput. Simul. 196, 296-318 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{V. P. Dubey} et al., Math. Comput. Simul. 196, 296--318 (2022; Zbl 07487731) Full Text: DOI
Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P. An optimal and low computational cost fractional Newton-type method for solving nonlinear equations. (English) Zbl 1487.65053 Appl. Math. Lett. 124, Article ID 107650, 8 p. (2022). Reviewer: Juan Ramón Torregrosa Sánchez (Valencia) MSC: 65H05 26A33 PDFBibTeX XMLCite \textit{G. Candelario} et al., Appl. Math. Lett. 124, Article ID 107650, 8 p. (2022; Zbl 1487.65053) 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
Sharma, J. R.; Arora, H. A family of fifth-order iterative methods for finding multiple roots of nonlinear equations. (Russian. English summary) Zbl 1498.65067 Sib. Zh. Vychisl. Mat. 24, No. 2, 213-227 (2021). MSC: 65H05 PDFBibTeX XMLCite \textit{J. R. Sharma} and \textit{H. Arora}, Sib. Zh. Vychisl. Mat. 24, No. 2, 213--227 (2021; Zbl 1498.65067) Full Text: DOI MNR
Gupta, Shivangi; Goyal, Manish; Prakash, Amit A hybrid computational scheme with convergence analysis for the dependent Rosenau-Hyman equation of arbitrary order via Caputo-Fabrizio operator. (English) Zbl 07489882 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 259, 16 p. (2021). MSC: 65Mxx PDFBibTeX XMLCite \textit{S. Gupta} et al., Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 259, 16 p. (2021; Zbl 07489882) 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
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
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
Veeresha, P.; Baskonus, Haci Mehmet; Prakasha, D. G.; Gao, Wei; Yel, Gulnur Regarding new numerical solution of fractional schistosomiasis disease arising in biological phenomena. (English) Zbl 1483.92007 Chaos Solitons Fractals 133, Article ID 109661, 7 p. (2020). MSC: 92-08 65L99 34A08 92B05 92D30 PDFBibTeX XMLCite \textit{P. Veeresha} et al., Chaos Solitons Fractals 133, Article ID 109661, 7 p. (2020; Zbl 1483.92007) 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
Sharma, Rajni; Sharma, Janak Raj; Kalra, Nitin A modified Newton-Özban composition for solving nonlinear systems. (English) Zbl 07336579 Int. J. Comput. Methods 17, No. 8, Article ID 1950047, 17 p. (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{R. Sharma} et al., Int. J. Comput. Methods 17, No. 8, Article ID 1950047, 17 p. (2020; Zbl 07336579) 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
Sajid, Mohammad Chaotic behaviour and bifurcation in real dynamics of two-parameter family of functions including logarithmic map. (English) Zbl 1474.37037 Abstr. Appl. Anal. 2020, Article ID 7917184, 13 p. (2020). MSC: 37D45 37E05 37M05 PDFBibTeX XMLCite \textit{M. Sajid}, Abstr. Appl. Anal. 2020, Article ID 7917184, 13 p. (2020; Zbl 1474.37037) 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, 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
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
Maroju, P.; Magreñán, Á. A.; Sarría, Í.; Kumar, Abhimanyu Local convergence of fourth and fifth order parametric family of iterative methods in Banach spaces. (English) Zbl 1477.65089 J. Math. Chem. 58, No. 3, 686-705 (2020). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{P. Maroju} et al., J. Math. Chem. 58, No. 3, 686--705 (2020; Zbl 1477.65089) Full Text: DOI
Veeresha, P.; Prakasha, D. G.; Kumar, Devendra An efficient technique for nonlinear time-fractional Klein-Fock-Gordon equation. (English) Zbl 1433.35454 Appl. Math. Comput. 364, Article ID 124637, 15 p. (2020). MSC: 35R11 35Q53 PDFBibTeX XMLCite \textit{P. Veeresha} et al., Appl. Math. Comput. 364, Article ID 124637, 15 p. (2020; Zbl 1433.35454) Full Text: DOI
Veeresha, P.; Prakasha, D. G. A novel technique for \((2 + 1)\)-dimensional time-fractional coupled Burgers equations. (English) Zbl 07316775 Math. Comput. Simul. 166, 324-345 (2019). MSC: 92Cxx 26Axx 37Nxx PDFBibTeX XMLCite \textit{P. Veeresha} and \textit{D. G. Prakasha}, Math. Comput. Simul. 166, 324--345 (2019; Zbl 07316775) Full Text: DOI
Veeresha, P.; Prakasha, D. G.; Baskonus, Haci Mehmet Solving smoking epidemic model of fractional order using a modified homotopy analysis transform method. (English) Zbl 1452.92043 Math. Sci., Springer 13, No. 2, 115-128 (2019). MSC: 92D30 PDFBibTeX XMLCite \textit{P. Veeresha} et al., Math. Sci., Springer 13, No. 2, 115--128 (2019; Zbl 1452.92043) 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
Behl, Ramandeep; Argyros, Ioannis K.; Mallawi, Fouad Othman; Tenreiro Machado, J. A. Derivative free fourth order solvers of equations with applications in applied disciplines. (English) Zbl 1427.65075 Symmetry 11, No. 4, Paper No. 586, 9 p. (2019). MSC: 65H10 65G99 PDFBibTeX XMLCite \textit{R. Behl} et al., Symmetry 11, No. 4, Paper No. 586, 9 p. (2019; Zbl 1427.65075) 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
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
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
Akgül, Ali; Cordero, Alicia; Torregrosa, Juan R. A fractional Newton method with \(2 \alpha\) th-order of convergence and its stability. (English) Zbl 1468.65044 Appl. Math. Lett. 98, 344-351 (2019). MSC: 65H05 26A33 PDFBibTeX XMLCite \textit{A. Akgül} et al., Appl. Math. Lett. 98, 344--351 (2019; Zbl 1468.65044) 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 Konstantinos; Silva, Gilson do Nascimento Extending the applicability of inexact Gauss-Newton method for solving underdetermined nonlinear least squares problems. (English) Zbl 1461.65121 J. Korean Math. Soc. 56, No. 2, 311-327 (2019). MSC: 65K05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{G. d. N. Silva}, J. Korean Math. Soc. 56, No. 2, 311--327 (2019; Zbl 1461.65121) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh On the complexity of choosing majorizing sequences for iterative procedures. (English) Zbl 1468.65059 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1463-1473 (2019). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 1463--1473 (2019; Zbl 1468.65059) Full Text: DOI
Argyros, Ioannis K.; Cho, Yeol Je; George, Santhosh Improved local convergence analysis for a three point method of convergence order \(1.839\dots\). (English) Zbl 1416.65152 Bull. Korean Math. Soc. 56, No. 3, 621-629 (2019). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Bull. Korean Math. Soc. 56, No. 3, 621--629 (2019; Zbl 1416.65152) Full Text: DOI
Veeresha, P.; Prakasha, D. G.; Qurashi, M. A.; Baleanu, D. A reliable technique for fractional modified Boussinesq and approximate long wave equations. (English) Zbl 1459.35385 Adv. Difference Equ. 2019, Paper No. 253, 23 p. (2019). MSC: 35R11 35A35 26A33 35C07 PDFBibTeX XMLCite \textit{P. Veeresha} et al., Adv. Difference Equ. 2019, Paper No. 253, 23 p. (2019; Zbl 1459.35385) Full Text: DOI arXiv
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
Chicharro, Francisco I.; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan R. Stability and applicability of iterative methods with memory. (English) Zbl 1416.92194 J. Math. Chem. 57, No. 5, 1282-1300 (2019). MSC: 92E20 65F10 PDFBibTeX XMLCite \textit{F. I. Chicharro} et al., J. Math. Chem. 57, No. 5, 1282--1300 (2019; Zbl 1416.92194) 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
Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R. Dynamics of iterative families with memory based on weight functions procedure. (English) Zbl 1432.65187 J. Comput. Appl. Math. 354, 286-298 (2019). MSC: 65P30 65H05 34A34 PDFBibTeX XMLCite \textit{F. I. Chicharro} et al., J. Comput. Appl. Math. 354, 286--298 (2019; Zbl 1432.65187) Full Text: DOI Link
Behl, Ramandeep; Amat, S.; Magreñán, Á. A.; Motsa, S. S. An efficient optimal family of sixteenth order methods for nonlinear models. (English) Zbl 1434.65078 J. Comput. Appl. Math. 354, 271-285 (2019). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H20 65H05 65H10 PDFBibTeX XMLCite \textit{R. Behl} et al., J. Comput. Appl. Math. 354, 271--285 (2019; Zbl 1434.65078) 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
Rhee, Min Surp; Kim, Young Ik; Neta, Beny An optimal eighth-order class of three-step weighted Newton’s methods and their dynamics behind the purely imaginary extraneous fixed points. (English) Zbl 1499.65179 Int. J. Comput. Math. 95, No. 11, 2174-2211 (2018). MSC: 65H05 65H99 PDFBibTeX XMLCite \textit{M. S. Rhee} et al., Int. J. Comput. Math. 95, No. 11, 2174--2211 (2018; Zbl 1499.65179) Full Text: DOI
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation. (English) Zbl 1427.65324 Appl. Math. Comput. 335, 12-24 (2018). MSC: 65M99 44A10 PDFBibTeX XMLCite \textit{J. Singh} et al., Appl. Math. Comput. 335, 12--24 (2018; Zbl 1427.65324) Full Text: DOI
Argyros, Ioannis K.; Magreñán, Alberto; Sarría, Íñigo; Sicilia, Juan Antonio Improved convergence analysis of the secant method using restricted convergence domains with real-world applications. (English) Zbl 1438.65117 J. Nonlinear Sci. Appl. 11, No. 11, 1215-1224 (2018). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Nonlinear Sci. Appl. 11, No. 11, 1215--1224 (2018; Zbl 1438.65117) Full Text: DOI
Magreñán, Á. A.; Argyros, I. K.; Rainer, J. J.; Sicilia, J. A. Ball convergence of a sixth-order Newton-like method based on means under weak conditions. (English) Zbl 1407.65055 J. Math. Chem. 56, No. 7, 2117-2131 (2018). MSC: 65H05 PDFBibTeX XMLCite \textit{Á. A. Magreñán} et al., J. Math. Chem. 56, No. 7, 2117--2131 (2018; Zbl 1407.65055) Full Text: DOI
Argyros, Ioannis K.; Giménez, Elena; Magreñán, Á. A.; Sarría, Í.; Sicilia, Juan Antonio Improved semilocal convergence analysis in Banach space with applications to chemistry. (English) Zbl 1407.65059 J. Math. Chem. 56, No. 7, 1958-1975 (2018). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Math. Chem. 56, No. 7, 1958--1975 (2018; Zbl 1407.65059) 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.; Silva, Gilson N. A Krasnosel’skii-Zincenko-type method in \(K\)-normed spaces for solving equations. (English) Zbl 1416.65155 Comput. Appl. Math. 37, No. 3, 2399-2412 (2018). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{G. N. Silva}, Comput. Appl. Math. 37, No. 3, 2399--2412 (2018; Zbl 1416.65155) Full Text: DOI
Anastassiou, George A.; Argyros, Ioannis K. Generalized iterative procedures and their applications to Banach space valued functions in abstract fractional calculus. (English) Zbl 1468.65053 S\(\vec{\text{e}}\)MA J. 75, No. 2, 215-227 (2018). MSC: 65J15 26A33 47J25 65H10 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, S\(\vec{\text{e}}\)MA J. 75, No. 2, 215--227 (2018; Zbl 1468.65053) Full Text: DOI
Sajid, Mohammad Bifurcation and chaos in real dynamics of a two-parameter family arising from generating function of generalized Apostol-type polynomials. (English) Zbl 1390.37061 Math. Comput. Appl. 23, No. 1, Paper No. 7, 11 p. (2018). MSC: 37D45 PDFBibTeX XMLCite \textit{M. Sajid}, Math. Comput. Appl. 23, No. 1, Paper No. 7, 11 p. (2018; Zbl 1390.37061) Full Text: DOI
Kumar, Devendra; Agarwal, Ravi P.; Singh, Jagdev A modified numerical scheme and convergence analysis for fractional model of Lienard’s equation. (English) Zbl 1404.34007 J. Comput. Appl. Math. 339, 405-413 (2018). Reviewer: Neville Ford (Chester) MSC: 34A08 34A34 34A45 PDFBibTeX XMLCite \textit{D. Kumar} et al., J. Comput. Appl. Math. 339, 405--413 (2018; Zbl 1404.34007) Full Text: DOI
Kumar, Abhimanyu; Maroju, P.; Behl, R.; Gupta, D. K.; Motsa, S. S. A family of higher order iterations free from second derivative for nonlinear equations in \(\mathbb{R}\). (English) Zbl 1376.65081 J. Comput. Appl. Math. 330, 676-694 (2018). MSC: 65H05 PDFBibTeX XMLCite \textit{A. Kumar} et al., J. Comput. Appl. Math. 330, 676--694 (2018; Zbl 1376.65081) 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
Lee, Min-Young; Ik Kim, Young; Alberto Magreñán, Á. On the dynamics of a triparametric family of optimal fourth-order multiple-zero finders with a weight function of the principal \(m\)th root of a function-to-function ratio. (English) Zbl 1426.65068 Appl. Math. Comput. 315, 564-590 (2017). MSC: 65H05 PDFBibTeX XMLCite \textit{M.-Y. Lee} et al., Appl. Math. Comput. 315, 564--590 (2017; Zbl 1426.65068) Full Text: DOI
Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R. Stable high-order iterative methods for solving nonlinear models. (English) Zbl 1411.65074 Appl. Math. Comput. 303, 70-88 (2017). MSC: 65H10 PDFBibTeX XMLCite \textit{R. Behl} et al., Appl. Math. Comput. 303, 70--88 (2017; Zbl 1411.65074) Full Text: DOI Link
Petković, I.; Herceg, {Ð.} Symbolic computation and computer graphics as tools for developing and studying new root-finding methods. (English) Zbl 1411.68212 Appl. Math. Comput. 295, 95-113 (2017). MSC: 68W30 65H05 PDFBibTeX XMLCite \textit{I. Petković} and \textit{{Ð. } Herceg}, Appl. Math. Comput. 295, 95--113 (2017; Zbl 1411.68212) Full Text: DOI
Anastassiou, George A.; Argyros, Ioannis K. Generalized \(g\)-fractional calculus of Canavati-type and secant-like methods. (English) Zbl 1397.65078 Int. J. Appl. Comput. Math. 3, No. 3, 1605-1617 (2017). MSC: 65J15 65H10 26A33 47J25 47J05 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, Int. J. Appl. Comput. Math. 3, No. 3, 1605--1617 (2017; Zbl 1397.65078) 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
Anastassiou, George A.; Argyros, Ioannis K. A unified convergence analysis for some iterative algorithms with applications to fractional calculus. (English) Zbl 1397.65077 Int. J. Appl. Comput. Math. 3, No. 2, 323-332 (2017). MSC: 65J15 26A33 47J25 47J05 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, Int. J. Appl. Comput. Math. 3, No. 2, 323--332 (2017; Zbl 1397.65077) Full Text: DOI
Argyros, Ioannis. K.; Behl, Ramandeep; Motsa, S. S. Ball convergence for a two step method with memory at least of order \(2+\sqrt{2}\). (English) Zbl 1413.65221 J. Nonlinear Anal. Optim. 8, No. 1, 49-61 (2017). MSC: 65J15 PDFBibTeX XMLCite \textit{Ioannis. K. Argyros} et al., J. Nonlinear Anal. Optim. 8, No. 1, 49--61 (2017; Zbl 1413.65221) Full Text: Link
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.; 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
Cordero, Alicia; Maimó, Javier G.; Torregrosa, Juan R.; Vassileva, María P. Multidimensional stability analysis of a family of biparametric iterative methods: CMMSE2016. (English) Zbl 1383.65047 J. Math. Chem. 55, No. 7, 1461-1480 (2017). MSC: 65H10 PDFBibTeX XMLCite \textit{A. Cordero} et al., J. Math. Chem. 55, No. 7, 1461--1480 (2017; Zbl 1383.65047) Full Text: DOI Link
Behl, Ramandeep; Argyros, Ioannis K.; Motsa, S. S. Improved Chebyshev-Halley family of methods with seventh and eighth order of convergence for simple roots. (English) Zbl 1380.65087 S\(\vec{\text{e}}\)MA J. 74, No. 4, 643-665 (2017). MSC: 65H05 PDFBibTeX XMLCite \textit{R. Behl} et al., S\(\vec{\text{e}}\)MA J. 74, No. 4, 643--665 (2017; Zbl 1380.65087) 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
Chicharro, F. I.; Cordero, A.; Torregrosa, J. R.; Vassileva, M. P. King-type derivative-free iterative families: real and memory dynamics. (English) Zbl 1378.65111 Complexity 2017, Article ID 2713145, 15 p. (2017). MSC: 65H05 39B12 PDFBibTeX XMLCite \textit{F. I. Chicharro} et al., Complexity 2017, Article ID 2713145, 15 p. (2017; Zbl 1378.65111) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh On the convergence of Newton-like methods using restricted domains. (English) Zbl 1376.65087 Numer. Algorithms 75, No. 3, 553-567 (2017). Reviewer: Bangti Jin (London) MSC: 65J15 47J25 45G10 65R20 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Numer. Algorithms 75, No. 3, 553--567 (2017; Zbl 1376.65087) Full Text: DOI
Argyros, I. K.; Silva, G. N. Extended Traub-Woźniakowski convergence and complexity of Newton iteration in Banach space. (English) Zbl 1375.65075 J. Complexity 43, 38-50 (2017). MSC: 65J15 47J25 65Y20 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{G. N. Silva}, J. Complexity 43, 38--50 (2017; Zbl 1375.65075) Full Text: DOI
Kumar, Sunil; Kumar, Amit; Argyros, Ioannis K. A new analysis for the Keller-Segel model of fractional order. (English) Zbl 1365.65233 Numer. Algorithms 75, No. 1, 213-228 (2017). MSC: 65M99 35R11 92E10 35Q92 65M12 PDFBibTeX XMLCite \textit{S. Kumar} et al., Numer. Algorithms 75, No. 1, 213--228 (2017; Zbl 1365.65233) Full Text: DOI
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S. Unifying semilocal and local convergence of Newton’s method on Banach space with a convergence structure. (English) Zbl 1358.65035 Appl. Numer. Math. 115, 225-234 (2017). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Appl. Numer. Math. 115, 225--234 (2017; Zbl 1358.65035) Full Text: DOI
Amat, S.; Argyros, Ioannis K.; Busquier, S.; Magreñán, Á. Alberto Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions. (English) Zbl 1359.65084 Numer. Algorithms 74, No. 2, 371-391 (2017). Reviewer: Anton Iliev (Plovdiv) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{S. Amat} et al., Numer. Algorithms 74, No. 2, 371--391 (2017; Zbl 1359.65084) Full Text: DOI
García-Olivo, M.; Gutiérrez, José M.; Magreñán, Á. A. A first overview on the real dynamics of Chebyshev’s method. (English) Zbl 1357.65054 J. Comput. Appl. Math. 318, 422-432 (2017). MSC: 65H04 PDFBibTeX XMLCite \textit{M. García-Olivo} et al., J. Comput. Appl. Math. 318, 422--432 (2017; Zbl 1357.65054) Full Text: DOI
Argyros, Ioannis K.; Magreñán, Ángel Alberto; Sicilia, Juan Antonio Improving the domain of parameters for Newton’s method with applications. (English) Zbl 1357.65066 J. Comput. Appl. Math. 318, 124-135 (2017). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Comput. Appl. Math. 318, 124--135 (2017; Zbl 1357.65066) Full Text: DOI
Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Ángel Alberto; Torregrosa, Juan Ramón On the convergence of a higher order family of methods and its dynamics. (English) Zbl 1468.65056 J. Comput. Appl. Math. 309, 542-562 (2017). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Comput. Appl. Math. 309, 542--562 (2017; Zbl 1468.65056) Full Text: DOI
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, Sandile S. Local convergence analysis of an eighth order scheme using hypothesis only on the first derivative. (English) Zbl 1461.65098 Algorithms (Basel) 9, No. 4, Paper No. 65, 14 p. (2016). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Algorithms (Basel) 9, No. 4, Paper No. 65, 14 p. (2016; Zbl 1461.65098) Full Text: DOI
Sharma, Janak Raj; Sharma, Rajni; Bahl, Ashu An improved Newton-Traub composition for solving systems of nonlinear equations. (English) Zbl 1410.65198 Appl. Math. Comput. 290, 98-110 (2016). MSC: 65H10 PDFBibTeX XMLCite \textit{J. R. Sharma} et al., Appl. Math. Comput. 290, 98--110 (2016; Zbl 1410.65198) Full Text: DOI
Sharma, Janak Raj; Arora, Himani Some novel optimal eighth order derivative-free root solvers and their basins of attraction. (English) Zbl 1410.65174 Appl. Math. Comput. 284, 149-161 (2016). MSC: 65H05 39B12 PDFBibTeX XMLCite \textit{J. R. Sharma} and \textit{H. Arora}, Appl. Math. Comput. 284, 149--161 (2016; Zbl 1410.65174) Full Text: DOI
Sharma, Janak Raj; Arora, Himani A new family of optimal eighth order methods with dynamics for nonlinear equations. (English) Zbl 1410.65173 Appl. Math. Comput. 273, 924-933 (2016). MSC: 65H05 PDFBibTeX XMLCite \textit{J. R. Sharma} and \textit{H. Arora}, Appl. Math. Comput. 273, 924--933 (2016; Zbl 1410.65173) Full Text: DOI
Anastassiou, George A.; Argyros, Ioannis K. On the convergence of secant-like algorithms with applications to generalized fractional calculus. (English) Zbl 1356.65144 Appl. Math. 43, No. 2, 191-206 (2016). Reviewer: Bangti Jin (London) MSC: 65J15 47J25 26A33 PDFBibTeX XMLCite \textit{G. A. Anastassiou} and \textit{I. K. Argyros}, Appl. Math. 43, No. 2, 191--206 (2016; Zbl 1356.65144) Full Text: DOI
Argyros, Ioannis K.; Magreñán, Á. Alberto; Orcos, Lara Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation. (English) Zbl 1360.65141 J. Math. Chem. 54, No. 7, 1404-1416 (2016). MSC: 65H05 39B12 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Math. Chem. 54, No. 7, 1404--1416 (2016; Zbl 1360.65141) Full Text: DOI
Amat, Sergio; Busquier, Sonia; Bermúdez, Concepción; Magreñán, Á. Alberto On the election of the damped parameter of a two-step relaxed Newton-type method. (English) Zbl 1354.65157 Nonlinear Dyn. 84, No. 1, 9-18 (2016). MSC: 65L20 37D45 34C28 PDFBibTeX XMLCite \textit{S. Amat} et al., Nonlinear Dyn. 84, No. 1, 9--18 (2016; Zbl 1354.65157) Full Text: DOI
Argyros, Ioannis K.; George, Santhosh Extending the applicability of the Gauss-Newton method for convex composite optimization using restricted convergence domains and average Lipschitz conditions. (English) Zbl 1348.90568 S\(\vec{\text{e}}\)MA J. 73, No. 3, 219-236 (2016). MSC: 90C30 65G99 65K10 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, S\(\vec{\text{e}}\)MA J. 73, No. 3, 219--236 (2016; Zbl 1348.90568) Full Text: DOI
Argyros, Ioannis K.; Magreñán, Á. Alberto Local convergence and the dynamics of a two-step Newton-like method. (English) Zbl 1343.47067 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 5, Article ID 1630012, 18 p. (2016). MSC: 47J25 37F10 37C25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{Á. A. Magreñán}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 5, Article ID 1630012, 18 p. (2016; Zbl 1343.47067) 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
Cordero, Alicia; Lotfi, Taher; Torregrosa, Juan R.; Assari, Paria; Mahdiani, Katayoun Some new bi-accelerator two-point methods for solving nonlinear equations. (English) Zbl 1342.65126 Comput. Appl. Math. 35, No. 1, 251-267 (2016). Reviewer: Anton Iliev (Plovdiv) MSC: 65H05 65Y20 PDFBibTeX XMLCite \textit{A. Cordero} et al., Comput. Appl. Math. 35, No. 1, 251--267 (2016; Zbl 1342.65126) Full Text: DOI
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S. Newton’s method on generalized Banach spaces. (English) Zbl 1386.65149 J. Complexity 35, 16-28 (2016). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., J. Complexity 35, 16--28 (2016; Zbl 1386.65149) Full Text: DOI
Argyros, Ioannis K.; Magreñán, Á. Alberto A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative. (English) Zbl 1335.65047 Numer. Algorithms 71, No. 1, 1-23 (2016). Reviewer: Anton Iliev (Plovdiv) MSC: 65H05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{Á. A. Magreñán}, Numer. Algorithms 71, No. 1, 1--23 (2016; Zbl 1335.65047) Full Text: DOI
Magreñán, Á. Alberto; Argyros, Ioannis K. On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence. (English) Zbl 1331.65086 J. Comput. Appl. Math. 298, 236-251 (2016). MSC: 65K05 65D10 90C30 90C48 PDFBibTeX XMLCite \textit{Á. A. Magreñán} and \textit{I. K. Argyros}, J. Comput. Appl. Math. 298, 236--251 (2016; Zbl 1331.65086) Full Text: DOI
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S. Local convergence of an efficient high convergence order method using hypothesis only on the first derivative. (English) Zbl 1461.65099 Algorithms (Basel) 8, No. 4, 1076-1087 (2015). MSC: 65J15 47J05 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Algorithms (Basel) 8, No. 4, 1076--1087 (2015; Zbl 1461.65099) 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.; Behl, Ramandeep; Motsa, S. S. Local convergence of an optimal eighth order method under weak conditions. (English) Zbl 1461.65072 Algorithms (Basel) 8, No. 3, 645-655 (2015). MSC: 65H05 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Algorithms (Basel) 8, No. 3, 645--655 (2015; Zbl 1461.65072) Full Text: DOI
Lotfi, Taher; Assari, Paria New three- and four-parametric iterative with memory methods with efficiency index near 2. (English) Zbl 1410.65166 Appl. Math. Comput. 270, 1004-1010 (2015). MSC: 65H05 65Y20 PDFBibTeX XMLCite \textit{T. Lotfi} and \textit{P. Assari}, Appl. Math. Comput. 270, 1004--1010 (2015; Zbl 1410.65166) Full Text: DOI
García Calcines, José M.; Gutiérrez, José M.; Hernández Paricio, Luis J.; Rivas Rodríguez, M. Teresa Graphical representations for the homogeneous bivariate Newton’s method. (English) Zbl 1410.65140 Appl. Math. Comput. 269, 988-1006 (2015). MSC: 65H04 65S05 68U05 65H05 PDFBibTeX XMLCite \textit{J. M. García Calcines} et al., Appl. Math. Comput. 269, 988--1006 (2015; Zbl 1410.65140) Full Text: DOI
Sharma, Janak Raj; Sharma, Rajni; Kalra, Nitin A novel family of composite Newton-Traub methods for solving systems of nonlinear equations. (English) Zbl 1410.65199 Appl. Math. Comput. 269, 520-535 (2015). MSC: 65H10 39B12 PDFBibTeX XMLCite \textit{J. R. Sharma} et al., Appl. Math. Comput. 269, 520--535 (2015; Zbl 1410.65199) 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