Papers

@article{cordero_maximally_2025,

title = {Maximally efficient damped composed Newton-type methods to solve nonlinear systems of equations},

author = {Alicia Cordero and Renso V. Rojas-Hiciano and Juan R. Torregrosa and María P. Vassileva},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85211016695&doi=10.1016%2fj.amc.2024.129231&partnerID=40&md5=66b3a5d7b7715964d0ca8cf78fa8dd3d},

doi = {10.1016/j.amc.2024.129231},

year  = {2025},

date = {2025-01-01},

journal = {Applied Mathematics and Computation},

volume = {492},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Cordero2025,

title = {First optimal vectorial eighth-order iterative scheme for solving non-linear systems},

author = {Alicia Cordero and Juan R. Torregrosa and Paula Triguero-Navarro},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-86000654008&doi=10.1016%2fj.amc.2025.129401&partnerID=40&md5=16860ed94a23e27f696fedc313729423},

doi = {10.1016/j.amc.2025.129401},

year  = {2025},

date = {2025-01-01},

journal = {Applied Mathematics and Computation},

volume = {498},

note = {Cited by: 2; All Open Access, Hybrid Gold Open Access},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Cordero20258024,

title = {Three-step iterative weight function scheme with memory for solving nonlinear problems},

author = {Alicia Cordero and Neus Garrido and Juan R. Torregrosa and Paula Triguero-Navarro},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-105002489381&doi=10.1002%2fmma.9521&partnerID=40&md5=666b41cf89499c2e5cf533a37d0194f5},

doi = {10.1002/mma.9521},

year  = {2025},

date = {2025-01-01},

journal = {Mathematical Methods in the Applied Sciences},

volume = {48},

number = {7},

pages = {8024 – 8036},

note = {Cited by: 2; All Open Access, Green Open Access, Hybrid Gold Open Access},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Cordero20255718,

title = {Jacobian-Free Vectorial Iterative Scheme to Find Simple Several Solutions Simultaneously},

author = {Alicia Cordero and Juan R. Torregrosa and Paula Triguero-Navarro},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-86000435851&doi=10.1002%2fmma.10631&partnerID=40&md5=05eb9782f2836a86fb1e0d39fd3f7c60},

doi = {10.1002/mma.10631},

year  = {2025},

date = {2025-01-01},

journal = {Mathematical Methods in the Applied Sciences},

volume = {48},

number = {5},

pages = {5718 – 5730},

note = {Cited by: 3},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Martínez2025,

title = {Stability Analysis and Local Convergence of a New Fourth-Order Optimal Jarratt-Type Iterative Scheme},

author = {Eulalia Martínez and José A. Reyes and Alicia Cordero and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-105009264954&doi=10.3390%2fcomputation13060142&partnerID=40&md5=7f9385a587d8a25d5daa35f9412fe69e},

doi = {10.3390/computation13060142},

year  = {2025},

date = {2025-01-01},

journal = {Computation},

volume = {13},

number = {6},

note = {Cited by: 0; All Open Access, Gold Open Access},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Yadav2025,

title = {Extending the applicability of improved Chebyshev–Secant-type methods},

author = {Nisha Yadav and Sukhjit Singh and Eulalia Martínez and Mehakpreet Singh},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-105002930393&doi=10.1007%2fs00033-025-02463-4&partnerID=40&md5=d6d4d949c0eff4da4e1cb31af9794816},

doi = {10.1007/s00033-025-02463-4},

year  = {2025},

date = {2025-01-01},

journal = {Zeitschrift fur Angewandte Mathematik und Physik},

volume = {76},

number = {3},

note = {Cited by: 0; All Open Access, Hybrid Gold Open Access},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hernández-Verón2025,

title = {Solving Hammerstein-Type Integral Equations with Polynomial Nemystkii Operator},

author = {M. A. Hernández-Verón and Sonia Yadav and Eulalia Martínez and Sukhjit Singh},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-105001395841&doi=10.1007%2fs00009-025-02830-5&partnerID=40&md5=8e774540f4747b4db0a00ad138321abc},

doi = {10.1007/s00009-025-02830-5},

year  = {2025},

date = {2025-01-01},

journal = {Mediterranean Journal of Mathematics},

volume = {22},

number = {3},

note = {Cited by: 0; All Open Access, Hybrid Gold Open Access},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Villalba20257987,

title = {Using decomposition of the nonlinear operator for solving non-differentiable problems},

author = {Eva G. Villalba and Miguel Hernandez and Jose L. Hueso and Eulalia Martínez},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-105002120779&doi=10.1002%2fmma.9455&partnerID=40&md5=74a1f8041a25205d4bf4c263e1f83f93},

doi = {10.1002/mma.9455},

year  = {2025},

date = {2025-01-01},

journal = {Mathematical Methods in the Applied Sciences},

volume = {48},

number = {7},

pages = {7987 – 8006},

note = {Cited by: 4; All Open Access, Bronze Open Access, Green Open Access},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Martínez2025b,

title = {Semilocal Convergence Domain of a Chandrasekhar Integral Equation},

author = {Eulalia Martínez and Arleen Ledesma},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-105006782627&doi=10.3390%2fsym17050767&partnerID=40&md5=428f1aa52e164a824f784d15f0fc0613},

doi = {10.3390/sym17050767},

year  = {2025},

date = {2025-01-01},

journal = {Symmetry},

volume = {17},

number = {5},

note = {Cited by: 0; All Open Access, Gold Open Access},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Chang2024,

title = {A modified two-step optimal iterative method for solving nonlinear models in one and higher dimensions},

author = {Chih-Wen Chang and Sania Qureshi and Ioannis K. Argyros and Francisco I. Chicharro and Amanullah Soomro},

url = {https://www.sciencedirect.com/science/article/pii/S037847542400377X},

doi = {10.1016/j.matcom.2024.09.021},

year  = {2024},

date = {2024-10-19},

journal = {Mathematics and Computers in Simulation},

volume = {229},

pages = {448-467},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Moscoso-Martínez2024,

title = {Achieving Optimal Order in a Novel Family of Numerical Methods: Insights from Convergence and Dynamical Analysis Results},

author = {Marlon Moscoso-Martínez and Francisco I. Chicharro and Alicia Cordero and Juan R. Torregrosa and Gabriela Ureña-Callay},

url = {https://www.mdpi.com/2075-1680/13/7/458},

doi = {10.3390/axioms13070458},

year  = {2024},

date = {2024-07-07},

urldate = {2024-07-07},

journal = {Axioms},

volume = {13},

issue = {7},

pages = {458},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Qureshi2024,

title = {A New Optimal Numerical Root-Solver for Solving Systems of Nonlinear Equations Using Local, Semi-Local, and Stability Analysis},

author = {Sania Qureshi and Francisco I. Chicharro and Ionannis K. Argyros and Amanullah Soomro and Jihan Alahmadi and Evren Hincal},

url = {https://www.mdpi.com/2075-1680/13/6/341},

doi = {10.3390/axioms13060341},

year  = {2024},

date = {2024-05-21},

journal = {Axioms },

volume = {13},

issue = {6},

pages = {341},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_increasing_2024,

title = {Increasing in three units the order of convergence of iterative methods for solving nonlinear systems},

author = {Alicia Cordero and Miguel A. Leonardo-Sepúlveda and Juan R. Torregrosa and María P. Vassileva},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85192289244&doi=10.1016%2fj.matcom.2024.05.001&partnerID=40&md5=8fa43e7ac7225c8b531a6c39ffeb9b60},

doi = {10.1016/j.matcom.2024.05.001},

year  = {2024},

date = {2024-01-01},

journal = {Mathematics and Computers in Simulation},

volume = {223},

pages = {509 – 522},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{baber_comparisons_2024,

title = {Comparisons of Numerical and Solitary Wave Solutions for the Stochastic Reaction–Diffusion Biofilm Model including Quorum Sensing},

author = {Muhammad Z. Baber and Nauman Ahmed and Muhammad Waqas Yasin and Muhammad Sajid Iqbal and Ali Akgül and Alicia Cordero and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85193029098&doi=10.3390%2fmath12091293&partnerID=40&md5=b9d9739defa3ec62b606ea2dcb93c6f9},

doi = {10.3390/math12091293},

year  = {2024},

date = {2024-01-01},

journal = {Mathematics},

volume = {12},

number = {9},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{raza_mathematical_2024,

title = {Mathematical modeling and numerical simulation in sciences and engineering},

author = {Ali Raza and Nauman Ahmed and Muhammad Rafiq and Ali Akgül and Alicia Cordero and Juan R. Torregrosa and Juan R. Torregrosa and Alicia Cordero and Juan C. Cortés and Rafael J. Villanueva},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85197236346&doi=10.1002%2fmma.10308&partnerID=40&md5=11f861ecb76d6821b15e0d154c47dd06},

doi = {10.1002/mma.10308},

year  = {2024},

date = {2024-01-01},

journal = {Modeling Earth Systems and Environment},

volume = {10},

number = {5},

pages = {6309 – 6322},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_highly_2024,

title = {A highly efficient class of optimal fourth-order methods for solving nonlinear systems},

author = {Alicia Cordero and Renso V. Rojas-Hiciano and Juan R. Torregrosa and María P. Vassileva},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85168146518&doi=10.1007%2fs11075-023-01631-9&partnerID=40&md5=bf1547b758b8c3c15ccfa3b14797eb83},

doi = {10.1007/s11075-023-01631-9},

year  = {2024},

date = {2024-01-01},

journal = {Numerical Algorithms},

volume = {95},

number = {4},

pages = {1879 – 1904},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{padilla_class_2024,

title = {A Class of Efficient Sixth-Order Iterative Methods for Solving the Nonlinear Shear Model of a Reinforced Concrete Beam},

author = {José J. Padilla and Francisco I. Chicharro and Alicia Cordero and Alejandro M. Hernández-Díaz and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85184505798&doi=10.3390%2fmath12030499&partnerID=40&md5=e8e6e17967248587b8d4db4a6024dd79},

doi = {10.3390/math12030499},

year  = {2024},

date = {2024-01-01},

journal = {Mathematics},

volume = {12},

number = {3},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_high-efficiency_2024,

title = {High-efficiency implicit scheme for solving first-order partial differential equations},

author = {Alicia Cordero and Renso V. Rojas-Hiciano and Juan R. Torregrosa and María P. Vassileva},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85207690355&doi=10.1016%2fj.rinam.2024.100507&partnerID=40&md5=6d5edf6ec4b7ed52f9abab6c16fb1fd3},

doi = {10.1016/j.rinam.2024.100507},

year  = {2024},

date = {2024-01-01},

journal = {Results in Applied Mathematics},

volume = {24},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_two-step_2024,

title = {Two-Step Fifth-Order Efficient Jacobian-Free Iterative Method for Solving Nonlinear Systems},

author = {Alicia Cordero and Javier García-Maimó and Antmel Rodríguez-Cabral and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85208431567&doi=10.3390%2fmath12213341&partnerID=40&md5=0e164f6d3271a227e488a8478a1ea81e},

doi = {10.3390/math12213341},

year  = {2024},

date = {2024-01-01},

journal = {Mathematics},

volume = {12},

number = {21},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_solving_2024,

title = {Solving nonlinear vectorial problems with a stable class of Jacobian-free iterative processes},

author = {Alicia Cordero and Cristina Jordán and Esther Sanabria-Codesal and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85197910654&doi=10.1007%2fs12190-024-02166-5&partnerID=40&md5=7657de75587c539634507d4a810bcff5},

doi = {10.1007/s12190-024-02166-5},

year  = {2024},

date = {2024-01-01},

urldate = {2024-01-01},

journal = {Journal of Applied Mathematics and Computing},

volume = {70},

number = {5},

pages = {5023 – 5048},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_design_2024,

title = {Design and dynamical behavior of a fourth order family of iterative methods for solving nonlinear equations},

author = {Alicia Cordero and Arleen Ledesma and Javier García-Maimó and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85186412916&doi=10.3934%2fmath.2024415&partnerID=40&md5=34292824a18ef6f79f037906735d474f},

doi = {10.3934/math.2024415},

year  = {2024},

date = {2024-01-01},

journal = {AIMS Mathematics},

volume = {9},

number = {4},

pages = {8564 – 8593},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{zafar_novel_2024,

title = {A Novel Higher-Order Numerical Scheme for System of Nonlinear Load Flow Equations},

author = {Fiza Zafar and Alicia Cordero and Husna Maryam and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85185828407&doi=10.3390%2fa17020086&partnerID=40&md5=3359b1e95146e9f08c64f186748b64ac},

doi = {10.3390/a17020086},

year  = {2024},

date = {2024-01-01},

journal = {Algorithms},

volume = {17},

number = {2},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{arora_generalized_2024,

title = {On generalized one-step derivative-free iterative family for evaluating multiple roots},

author = {Himani Arora and Alicia Cordero and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85187671026&doi=10.22067%2fIJNAO.2023.82958.1282&partnerID=40&md5=7f4bd012261350d40ed0939b83764712},

doi = {10.22067/IJNAO.2023.82958.1282},

year  = {2024},

date = {2024-01-01},

journal = {Iranian Journal of Numerical Analysis and Optimization},

volume = {14},

number = {1},

pages = {291 – 314},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_inverse_2024,

title = {Inverse matrix estimations by iterative methods with weight functions and their stability analysis},

author = {Alicia Cordero and Elaine Segura and Juan R. Torregrosa and María P. Vassileva},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191731436&doi=10.1016%2fj.aml.2024.109122&partnerID=40&md5=e23a5cfee851a0974fc53caab72455ac},

doi = {10.1016/j.aml.2024.109122},

year  = {2024},

date = {2024-01-01},

journal = {Applied Mathematics Letters},

volume = {155},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{kumar_efficient_2024,

title = {An efficient extension of three-step optimal iterative scheme into with memory and its stability},

author = {Nishant Kumar and Alicia Cordero and J. P. Jaiswal and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85203280075&doi=10.1007%2fs41478-024-00833-1&partnerID=40&md5=8e971f250a2b0814ab0ec23470caf0a2},

doi = {10.1007/s41478-024-00833-1},

year  = {2024},

date = {2024-01-01},

journal = {Journal of Analysis},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_efficient_2024,

title = {Efficient parametric family of fourth-order Jacobian-free iterative vectorial schemes},

author = {Alicia Cordero and Renso V. Rojas-Hiciano and Juan R. Torregrosa and Paula Triguero-Navarro},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85185148561&doi=10.1007%2fs11075-024-01776-1&partnerID=40&md5=d15dc35ac1a64b2fad8bd02876770388},

doi = {10.1007/s11075-024-01776-1},

year  = {2024},

date = {2024-01-01},

journal = {Numerical Algorithms},

volume = {97},

number = {4},

pages = {2011 – 2029},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_modifying_2024,

title = {Modifying Kurchatov's method to find multiple roots of nonlinear equations},

author = {Alicia Cordero and Neus Garrido-Saez and Juan R. Torregrosa and Paula Triguero-Navarro},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85182180892&doi=10.1016%2fj.apnum.2023.12.009&partnerID=40&md5=1b88a5dd44b4e5de61a9adf9f0e80a20},

doi = {10.1016/j.apnum.2023.12.009},

year  = {2024},

date = {2024-01-01},

journal = {Applied Numerical Mathematics},

volume = {198},

pages = {11 – 21},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Martínez2024,

title = {Local Convergence Study for an Iterative Scheme with a High Order of Convergence},

author = {Eulalia Martínez and Arleen Ledesma},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85210317229&doi=10.3390%2fa17110481&partnerID=40&md5=b3f76618711801274cd016e3e8817c60},

doi = {10.3390/a17110481},

year  = {2024},

date = {2024-01-01},

journal = {Algorithms},

volume = {17},

number = {11},

note = {Cited by: 2; All Open Access, Gold Open Access, Green Open Access},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Villalba202414610,

title = {Derivative free processes of high order for nondifferentiable equations in Banach spaces},

author = {Eva G. Villalba and Ioannis K. Argyros and M. A. Hernández-Verón and Eulalia Martínez},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85197641790&doi=10.1002%2fmma.10292&partnerID=40&md5=9421243dee515c61f93fc52075a3046d},

doi = {10.1002/mma.10292},

year  = {2024},

date = {2024-01-01},

journal = {Mathematical Methods in the Applied Sciences},

volume = {47},

number = {18},

pages = {14610 – 14628},

note = {Cited by: 0; All Open Access, Green Open Access},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hernández-Verón2024161,

title = {A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations},

author = {Miguel A. Hernández-Verón and Sukhjit Singh and Eulalia Martínez and Nisha Yadav},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85186620484&doi=10.3846%2fmma.2024.18338&partnerID=40&md5=4b7dbb78dec060b0a6683c14844fd054},

doi = {10.3846/mma.2024.18338},

year  = {2024},

date = {2024-01-01},

journal = {Mathematical Modelling and Analysis},

volume = {29},

number = {1},

pages = {161 – 177},

note = {Cited by: 0; All Open Access, Gold Open Access, Green Open Access},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Devi2024,

title = {The Local Convergence of a Three-Step Sixth-Order Iterative Approach with the Basin of Attraction},

author = {Kasmita Devi and Prashanth Maroju and Eulalia Martínez and Ramandeep Behl},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85197853658&doi=10.3390%2fsym16060742&partnerID=40&md5=40f9ed7afec7c0cfa7f893d05bbc5b20},

doi = {10.3390/sym16060742},

year  = {2024},

date = {2024-01-01},

journal = {Symmetry},

volume = {16},

number = {6},

note = {Cited by: 1; All Open Access, Gold Open Access},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hernández-Verón202447,

title = {Influence of symmetric first-order divided differences on Secant-like methods},

author = {M. A. Hernández-Verón and José. L. Hueso and Eulalia Martínez},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85177831301&doi=10.37193%2fCJM.2024.01.05&partnerID=40&md5=cb9ba068a0f6429fa1cde1e064b9165e},

doi = {10.37193/CJM.2024.01.05},

year  = {2024},

date = {2024-01-01},

journal = {Carpathian Journal of Mathematics},

volume = {40},

number = {1},

pages = {47 – 64},

note = {Cited by: 0},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Hernández-Verón2024567,

title = {Solving non-differentiable Hammerstein integral equations via first-order divided differences},

author = {M. A. Hernández-Verón and Á. A. Magreñán and Eulalia Martínez and Eva G. Villalba},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85179658087&doi=10.1007%2fs11075-023-01715-6&partnerID=40&md5=a6c300a850311bb89900d55186978358},

doi = {10.1007/s11075-023-01715-6},

year  = {2024},

date = {2024-01-01},

journal = {Numerical Algorithms},

volume = {97},

number = {2},

pages = {567 – 594},

note = {Cited by: 2; All Open Access, Green Open Access},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Campos2024,

title = {Dynamical and numerical analysis of classical multiple roots finding methods applied for different multiplicities},

author = {Beatriz Campos and Eva G. Villalba and Pura Vindel},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85192383273&doi=10.1007%2fs40314-024-02746-y&partnerID=40&md5=3b0cb468f20e6d1653f030a83bd75ad3},

doi = {10.1007/s40314-024-02746-y},

year  = {2024},

date = {2024-01-01},

journal = {Computational and Applied Mathematics},

volume = {43},

number = {4},

note = {Cited by: 5; All Open Access, Green Open Access, Hybrid Gold Open Access},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{nokey,

title = {Design and dynamical behavior of a fourth order family of iterative methods for solving nonlinear equations},

author = {Alicia Cordero and Arleen Ledesma and Javier G. Maimó and Juan R. Torregrosa},

url = {https://www.aimspress.com/article/doi/10.3934/math.2024415},

doi = {10.3934/math.2024415},

issn = {2473-6988},

year  = {2024},

date = {2024-01-01},

journal = {AIMS Mathematics},

volume = {9},

number = {4},

pages = {8564-8593},

keywords = {convergence order, iterative method, nonlinear equation, parameter plane, stability analysis},

pubstate = {published},

tppubtype = {article}

}

@article{axioms13010034,

title = {Stability Analysis of a New Fourth-Order Optimal Iterative Scheme for Nonlinear Equations},

author = {Alicia Cordero and José A. Reyes and Juan R. Torregrosa and María P. Vassileva},

url = {https://www.mdpi.com/2075-1680/13/1/34},

doi = {10.3390/axioms13010034},

issn = {2075-1680},

year  = {2024},

date = {2024-01-01},

journal = {Axioms},

volume = {13},

number = {1},

abstract = {In this paper, a new parametric class of optimal fourth-order iterative methods to estimate the solutions of nonlinear equations is presented. After the convergence analysis, a study of the stability of this class is made using the tools of complex discrete dynamics, allowing those elements of the class with lower dependence on initial estimations to be selected in order to find a very stable subfamily. Numerical tests indicate that the stable members perform better on quadratic polynomials than the unstable ones when applied to other non-polynomial functions. Moreover, the performance of the best elements of the family are compared with known methods, showing robust and stable behaviour.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_enhancing_2023,

title = {Enhancing the Convergence Order from p to p + 3 in Iterative Methods for Solving Nonlinear Systems of Equations without the Use of Jacobian Matrices},

author = {Alicia Cordero and Miguel A. Leonardo-Sepúlveda and Juan R. Torregrosa and María P. Vassileva},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85175092008&doi=10.3390%2fmath11204238&partnerID=40&md5=45bb614aefa7713e68d492b198e33bd9},

doi = {10.3390/math11204238},

year  = {2023},

date = {2023-01-01},

journal = {Mathematics},

volume = {11},

number = {20},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_behind_2023,

title = {Behind Jarratt's Steps: Is Jarratt's Scheme the Best Version of Itself?},

author = {Alicia Cordero and Elaine Segura and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85163504707&doi=10.1155%2f2023%2f8840525&partnerID=40&md5=ce36f0af5efda9e9458ecfdf64e72ef2},

doi = {10.1155/2023/8840525},

year  = {2023},

date = {2023-01-01},

journal = {Discrete Dynamics in Nature and Society},

volume = {2023},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_introducing_2023,

title = {Introducing memory to a family of multi-step multidimensional iterative methods with weight function},

author = {Alicia Cordero and Eva G. Villalba and Juan R. Torregrosa and Paula Triguero-Navarro},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85159352444&doi=10.1016%2fj.exmath.2023.04.004&partnerID=40&md5=82c2f6694c3d94d0760b01434ff035e4},

doi = {10.1016/j.exmath.2023.04.004},

year  = {2023},

date = {2023-01-01},

journal = {Expositiones Mathematicae},

volume = {41},

number = {2},

pages = {398 – 417},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{moscoso-martinez_performance_2023,

title = {Performance of a New Sixth-Order Class of Iterative Schemes for Solving Non-Linear Systems of Equations},

author = {Marlon Moscoso-Martínez and Francisco I. Chicharro and Alicia Cordero and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85151488589&doi=10.3390%2fmath11061374&partnerID=40&md5=e372d0abd04427d38e8e73378ac3507b},

doi = {10.3390/math11061374},

year  = {2023},

date = {2023-01-01},

journal = {Mathematics},

volume = {11},

number = {6},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_convergence_2023,

title = {Convergence and Stability of a New Parametric Class of Iterative Processes for Nonlinear Systems},

author = {Alicia Cordero and Javier García-Maimó and Antmel Rodríguez-Cabral and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85151097160&doi=10.3390%2fa16030163&partnerID=40&md5=572a4218142fb4100ca40de82063a266},

doi = {10.3390/a16030163},

year  = {2023},

date = {2023-01-01},

journal = {Algorithms},

volume = {16},

number = {3},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_iterative_2023,

title = {An iterative scheme to obtain multiple solutions simultaneously},

author = {Alicia Cordero and Neus Garrido-Saez and Juan R. Torregrosa and Paula Triguero-Navarro},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85161665591&doi=10.1016%2fj.aml.2023.108738&partnerID=40&md5=4f231b965d41baedf79764d9c8e96c65},

doi = {10.1016/j.aml.2023.108738},

year  = {2023},

date = {2023-01-01},

journal = {Applied Mathematics Letters},

volume = {145},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{kanwar_new_2023,

title = {A New Third-Order Family of Multiple Root-Findings Based on Exponential Fitted Curve},

author = {Vinay Kanwar and Alicia Cordero and Juan R. Torregrosa and Mithil Rajput and Ramandeep Behl},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85151097204&doi=10.3390%2fa16030156&partnerID=40&md5=4e23a9baac8bb6d74d24edbcba780cbe},

doi = {10.3390/a16030156},

year  = {2023},

date = {2023-01-01},

journal = {Algorithms},

volume = {16},

number = {3},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{zafar_optimal_2023,

title = {An optimal eighth order derivative free multiple root finding numerical method and applications to chemistry},

author = {Fiza Zafar and Alicia Cordero and Ifra Ashraf and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85140320166&doi=10.1007%2fs10910-022-01411-1&partnerID=40&md5=7978f48c5aa37176ba420dc9086ee231},

doi = {10.1007/s10910-022-01411-1},

year  = {2023},

date = {2023-01-01},

journal = {Journal of Mathematical Chemistry},

volume = {61},

number = {1},

pages = {98 – 124},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{padilla_parametric_2023,

title = {Parametric Iterative Method for Addressing an Embedded-Steel Constitutive Model with Multiple Roots},

author = {José J. Padilla and Francisco I. Chicharro and Alicia Cordero and Alejandro M. Hernández-Díaz and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85167570838&doi=10.3390%2fmath11153275&partnerID=40&md5=86fc78299eaf439ed37629d193d55ab5},

doi = {10.3390/math11153275},

year  = {2023},

date = {2023-01-01},

journal = {Mathematics},

volume = {11},

number = {15},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{ceesay_modelling_2023,

title = {Modelling Symmetric Ion-Acoustic Wave Structures for the BBMPB Equation in Fluid Ions Using Hirota’s Bilinear Technique},

author = {Baboucarr Ceesay and Muhammad Zafarullah Baber and Nauman Ahmed and Ali Akgül and Alicia Cordero and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85172774524&doi=10.3390%2fsym15091682&partnerID=40&md5=f13c9dacd1fb05b9044c6ecb600fee1e},

doi = {10.3390/sym15091682},

year  = {2023},

date = {2023-01-01},

journal = {Symmetry},

volume = {15},

number = {9},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{du_editorial_2023,

title = {Editorial Conclusion for the Special Issue “Fixed Point Theory and Computational Analysis with Applications”},

author = {Wei-Shih Du and Alicia Cordero and Huaping Huang and Juan R. Torregrosa},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85163720603&doi=10.3390%2fsym15061130&partnerID=40&md5=4606f4d9031eed52e684c7540f0f3198},

doi = {10.3390/sym15061130},

year  = {2023},

date = {2023-01-01},

journal = {Symmetry},

volume = {15},

number = {6},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{candelario_derivative-free_2023,

title = {Derivative-Free Conformable Iterative Methods for Solving Nonlinear Equations},

author = {Giro Candelario and Alicia Cordero and Juan R. Torregrosa and María P. Vassileva},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85169012563&doi=10.3390%2ffractalfract7080578&partnerID=40&md5=a632bb13ddf4ce95c3e282cf0fd3797d},

doi = {10.3390/fractalfract7080578},

year  = {2023},

date = {2023-01-01},

journal = {Fractal and Fractional},

volume = {7},

number = {8},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{cordero_fractal_2023,

title = {Fractal Complexity of a New Biparametric Family of Fourth Optimal Order Based on the Ermakov–Kalitkin Scheme},

author = {Alicia Cordero and Renso V. Rojas-Hiciano and Juan R. Torregrosa and María P. Vassileva},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85163972338&doi=10.3390%2ffractalfract7060459&partnerID=40&md5=4f94ef3cddba98f6ecfae4e8e55cfc51},

doi = {10.3390/fractalfract7060459},

year  = {2023},

date = {2023-01-01},

journal = {Fractal and Fractional},

volume = {7},

number = {6},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{candelario_generalized_2023,

title = {Generalized conformable fractional Newton-type method for solving nonlinear systems},

author = {Giro Candelario and Alicia Cordero and Juan R. Torregrosa and María P. Vassileva},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85146160132&doi=10.1007%2fs11075-022-01463-z&partnerID=40&md5=948514581f3117d2bced7b09f357433b},

doi = {10.1007/s11075-022-01463-z},

year  = {2023},

date = {2023-01-01},

journal = {Numerical Algorithms},

volume = {93},

number = {3},

pages = {1171 – 1208},

keywords = {},

pubstate = {published},

tppubtype = {article}

}