Edit Profile (opens in new tab) Cordero, Alicia Compute Distance To: Compute Author ID: cordero.alicia Published as: Cordero, Alicia; Cordero, A. External Links: MGP · ORCID Documents Indexed: 163 Publications since 2002 1 Contribution as Editor Co-Authors: 77 Co-Authors with 164 Joint Publications 882 Co-Co-Authors all top 5 Co-Authors 0 single-authored 160 Torregrosa Sanchez, Juan Ramón 24 Vassileva, María P. 17 Vindel, Pura 15 Martínez, Eulalia 14 Hueso, José Luis 13 Chicharro, Francisco I. 11 Zafar, Fiza 10 Behl, Ramandeep 9 Magreñán, Ángel Alberto 8 Campos, Beatriz 8 Lotfi, Taher 8 Soleymani, Fazlollah 7 Garrido, Neus 7 Maimó, Javier G. 6 Artidiello, Santiago 5 Argyros, Ioannis Konstantinos 4 Bakhtiari, Parisa 4 Mahdiani, Katayoun 4 Martínez-Alfaro, José 3 Babajee, Diyashvir Kreetee Rajiv 3 Budzko, Dzmitry A. 3 Darvishi, Mohammad Taghi 3 Franques, Antonio 3 Guasp, Lucia 3 Gutiérrez, José Manuel 3 Jordán Lluch, Cristina 3 Kansal, Munish 2 Abad, Manuel F. 2 Akgül, Ali 2 Amiri, A. R. 2 Amiri, Abdolreza 2 Andreu, Carlos 2 Arroyo, Víctor 2 Bhalla, Sonia 2 Cambil, Noelia 2 Fardi, Mojtaba 2 Ghasemi, Mehdi 2 Hernández-Verón, Miguel Ángel 2 Jaiswal, Jai Prakash 2 Junjua, Moin-ud-Din 2 Kanwar, Vinay 2 Martínez, Tobías H. 1 Abbasbandy, Saeid 1 Alshomrani, Ali Saleh 1 Ashraf, Ifra 1 Assari, Paria 1 Bahl, Ashu 1 Candelario, Giro 1 Chicharro López, Francisco Israel 1 Choubey, Neha 1 Chun, Changbum 1 Ezquerro, José Antonio 1 Feng, Licheng 1 Ferrero, Alfredo 1 García-Maimó, Javier 1 Giménez-Palacios, I. 1 Giménez, Ivan 1 Gómez, Esther 1 Khoshandi, Arezoo 1 Mahdiani, Kathayoun 1 Motsa, Sandile Sydney 1 Quemada, Carlos 1 Quratulain, R. 1 Rafi, Aneeqa 1 Ramos, Higinio 1 Romero, Natalia 1 S. Motsa, Sandile 1 Sanabria Codesal, Esther 1 Sharma, Rajni 1 Shateyi, Stanford 1 Soleimani, Farahnaz 1 Soto-Quiros, Pablo 1 Sultana, Sana 1 Taghi Darvishi, M. 1 Triguero-Navarro, Paula 1 Vázquez-Lozano, J. Enrique 1 Yasmin, Nusrat all top 5 Serials 30 Applied Mathematics and Computation 29 Journal of Computational and Applied Mathematics 15 Journal of Mathematical Chemistry 10 Numerical Algorithms 7 Applied Mathematics Letters 7 International Journal of Computer Mathematics 6 Abstract and Applied Analysis 6 Journal of Applied Mathematics 5 Mathematical and Computer Modelling 4 Mathematical Methods in the Applied Sciences 4 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 3 Complexity 3 Nonlinear Dynamics 2 Mathematics and Computers in Simulation 2 Algorithms 2 S\(\vec{\text{e}}\)MA Journal 2 Axioms 2 Mathematics 1 Calcolo 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Computational Mathematics and Mathematical Physics 1 Celestial Mechanics and Dynamical Astronomy 1 Computational and Applied Mathematics 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Dynamical Systems 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Applied Mathematics and Nonlinear Sciences all top 5 Fields 153 Numerical analysis (65-XX) 32 Dynamical systems and ergodic theory (37-XX) 9 Difference and functional equations (39-XX) 6 Mechanics of particles and systems (70-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Biology and other natural sciences (92-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 128 Publications have been cited 1,693 times in 644 Documents Cited by ▼ Year ▼ Variants of Newton’s method using fifth-order quadrature formulas. Zbl 1122.65350Cordero, A.; Torregrosa, Juan R. 195 2007 A modified Newton-Jarratt’s composition. Zbl 1251.65074Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 119 2010 Chaos in King’s iterative family. Zbl 1370.37155Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, Maria P.; Vindel, Pura 83 2013 Complex dynamics of derivative-free methods for nonlinear equations. Zbl 1286.65059Chicharro, Francisco; Cordero, Alicia; Gutiérrez, José M.; Torregrosa, Juan R. 68 2013 Dynamics of a family of Chebyshev-Halley type methods. Zbl 1288.65065Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura 58 2013 Increasing the convergence order of an iterative method for nonlinear systems. Zbl 1252.65093Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 57 2012 Variants of Newton’s method for functions of several variables. Zbl 1123.65042Cordero, A.; Torregrosa, Juan R. 56 2006 Iterative methods of order four and five for systems of nonlinear equations. Zbl 1173.65034Cordero, Alicia; Martínez, Eulalia; Torregrosa, Juan R. 46 2009 New modifications of Potra-Pták’s method with optimal fourth and eighth orders of convergence. Zbl 1191.65048Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 40 2010 Three-step iterative methods with optimal eighth-order convergence. Zbl 1215.65091Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P. 40 2011 On developing fourth-order optimal families of methods for multiple roots and their dynamics. Zbl 1410.65147Behl, Ramandeep; Cordero, Alicia; Motsa, S. S.; Torregrosa, Juan R. 30 2015 A class of Steffensen type methods with optimal order of convergence. Zbl 1216.65055Cordero, Alicia; Torregrosa, Juan R. 29 2011 An optimal fourth-order family of methods for multiple roots and its dynamics. Zbl 1339.65065Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.; Kanwar, Vinay 27 2016 Increasing the order of convergence of iterative schemes for solving nonlinear systems. Zbl 1288.65070Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P. 25 2013 Derivative-free high-order methods applied to preliminary orbit determination. Zbl 1305.70018Chicharro, Francisco; Cordero, Alicia; Torregrosa, Juan R. 25 2013 Some new efficient multipoint iterative methods for solving nonlinear systems of equations. Zbl 1328.65124Lotfi, Taher; Bakhtiari, Parisa; Cordero, Alicia; Mahdiani, Katayoun; Torregrosa, Juan R. 24 2015 On the local convergence of a fifth-order iterative method in Banach spaces. Zbl 1328.65130Cordero, A.; Ezquerro, J. A.; Hernández-Verón, M. A.; Torregrosa, J. R. 24 2015 A family of modified Ostrowski’s methods with optimal eighth order of convergence. Zbl 1343.65050Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P. 20 2011 Steffensen type methods for solving nonlinear equations. Zbl 1237.65049Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 20 2012 An efficient two-parametric family with memory for nonlinear equations. Zbl 1309.65053Cordero, Alicia; Lotfi, Taher; Bakhtiari, Parisa; Torregrosa, Juan R. 20 2015 Approximation of artificial satellites’ preliminary orbits: the efficiency challenge. Zbl 1235.70032Arroyo, Víctor; Cordero, Alicia; Torregrosa, Juan R. 19 2011 Solving nonlinear problems by Ostrowski-Chun type parametric families. Zbl 1326.65061Cordero, Alicia; Maimó, Javier G.; Torregrosa, Juan R.; Vassileva, María P. 19 2015 On improved three-step schemes with high efficiency index and their dynamics. Zbl 1300.65028Babajee, Diyashvir K. R.; Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R. 18 2014 Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension? Zbl 1336.65089Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R. 17 2014 Stability study of eighth-order iterative methods for solving nonlinear equations. Zbl 1329.65100Cordero, Alicia; Magreñán, Alberto; Quemada, Carlos; Torregrosa, Juan R. 17 2016 Low-complexity root-finding iteration functions with no derivatives of any order of convergence. Zbl 1334.65084Cordero, Alicia; Torregrosa, Juan R. 17 2015 Efficient high-order methods based on golden ratio for nonlinear systems. Zbl 1228.65077Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 16 2011 Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces. Zbl 1295.65066Cordero, A.; Hernández-Verón, M. A.; Romero, N.; Torregrosa, J. R. 16 2015 A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations. Zbl 1288.65064Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 15 2013 Study of iterative methods through the Cayley quadratic test. Zbl 1329.65098Babajee, D. K. R.; Cordero, A.; Torregrosa, J. R. 15 2016 On a novel fourth-order algorithm for solving systems of nonlinear equations. Zbl 1268.65072Babajee, Diyashvir K. R.; Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R. 15 2012 An eighth-order family of optimal multiple root finders and its dynamics. Zbl 1402.65042Behl, Ramandeep; Cordero, Alicia; S. Motsa, Sandile; Torregrosa, Juan R. 14 2018 A family of seventh-order schemes for solving nonlinear systems. Zbl 1413.65196Abad, Manuel; Cordero, Alicia; Torregrosa, Juan R. 14 2014 Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods. Zbl 1291.65149Artidiello, Santiago; Chicharro, Francisco; Cordero, Alicia; Torregrosa, Juan R. 13 2013 Pseudocomposition: A technique to design predictor-corrector methods for systems of nonlinear equations. Zbl 1278.65067Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P. 13 2012 New efficient methods for solving nonlinear systems of equations with arbitrary even order. Zbl 1410.65180Abbasbandy, Saeid; Bakhtiari, Parisa; Cordero, Alicia; Torregrosa, Juan R.; Lotfi, Taher 13 2016 Stability of King’s family of iterative methods with memory. Zbl 1373.37194Campos, Beatriz; Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura 12 2017 A family of iterative methods with sixth and seventh order convergence for nonlinear equations. Zbl 1205.65170Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 12 2010 A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem. Zbl 1410.65143Andreu, Carlos; Cambil, Noelia; Cordero, Alicia; Torregrosa, Juan R. 12 2014 A new fourth-order family for solving nonlinear problems and its dynamics. Zbl 1318.65028Cordero, Alicia; Feng, Licheng; Magreñán, Alberto; Torregrosa, Juan R. 12 2015 Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation. Zbl 1305.65141Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 12 2013 Fourth- and fifth-order methods for solving nonlinear systems of equations: an application to the global positioning system. Zbl 1275.65028Abad, Manuel F.; Cordero, Alicia; Torregrosa, Juan R. 12 2013 Basins of attraction for various Steffensen-type methods. Zbl 1406.65035Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R.; Shateyi, Stanford 10 2014 Optimal iterative methods for finding multiple roots of nonlinear equations using free parameters. Zbl 1404.92231Zafar, Fiza; Cordero, Alicia; Quratulain, R.; Torregrosa, Juan R. 10 2018 On interpolation variants of Newton’s method for functions of several variables. Zbl 1201.65077Cordero, A.; Torregrosa, Juan R. 10 2010 Two weighted eight-order classes of iterative root-finding methods. Zbl 1329.65097Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P. 10 2015 Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior. Zbl 1314.65070Cordero, A.; Fardi, M.; Ghasemi, M.; Torregrosa, J. R. 10 2014 Efficient high-order iterative methods for solving nonlinear systems and their application on heat conduction problems. Zbl 1367.65117Cordero, Alicia; Gómez, Esther; Torregrosa, Juan R. 10 2017 Stability analysis of a parametric family of iterative methods for solving nonlinear models. Zbl 1410.65183Cordero, Alicia; Gutiérrez, José M.; Magreñán, Á. Alberto; Torregrosa, Juan R. 10 2016 Construction of fourth-order optimal families of iterative methods and their dynamics. Zbl 1410.65146Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R. 10 2015 Stable high-order iterative methods for solving nonlinear models. Zbl 1411.65074Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R. 10 2017 A fractional Newton method with \(2 \alpha\) th-order of convergence and its stability. Zbl 1468.65044Akgül, Ali; Cordero, Alicia; Torregrosa, Juan R. 10 2019 Two optimal general classes of iterative methods with eighth-order. Zbl 1305.65142Cordero, Alicia; Lotfi, Taher; Mahdiani, Katayoun; Torregrosa, Juan R. 9 2014 Choosing the most stable members of Kou’s family of iterative methods. Zbl 1376.65080Cordero, Alicia; Guasp, Lucia; Torregrosa, Juan R. 9 2018 A stable family with high order of convergence for solving nonlinear equations. Zbl 1410.65154Cordero, Alicia; Lotfi, Taher; Mahdiani, Katayoun; Torregrosa, Juan R. 8 2015 Dynamics of the family of c-iterative methods. Zbl 1342.37049Campos, B.; Cordero, Alicia; Torregrosa, Juan R.; Vindel, P. 8 2015 Study of the dynamics of third-order iterative methods on quadratic polynomials. Zbl 1255.37019Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura 8 2012 A multidimensional dynamical approach to iterative methods with memory. Zbl 1410.65149Campos, Beatriz; Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura 8 2015 Solutions of fractional gas dynamics equation by a new technique. Zbl 1461.76363Akgül, Ali; Cordero, Alicia; Torregrosa, Juan Ramon 7 2020 Efficient three-step iterative methods with sixth order convergence for nonlinear equations. Zbl 1190.65077Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 7 2010 Some new bi-accelerator two-point methods for solving nonlinear equations. Zbl 1342.65126Cordero, Alicia; Lotfi, Taher; Torregrosa, Juan R.; Assari, Paria; Mahdiani, Katayoun 7 2016 Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure. Zbl 1410.65144Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, Maria P. 7 2015 A new family of iterative methods widening areas of convergence. Zbl 1338.65126Budzko, Dzmitry; Cordero, Alicia; Torregrosa, Juan R. 6 2015 Widening basins of attraction of optimal iterative methods. Zbl 1372.37092Bakhtiari, Parisa; Cordero, Alicia; Lotfi, Taher; Mahdiani, Kathayoun; Torregrosa, Juan R. 6 2017 Topology of the two-fixed-center problem. Zbl 1014.70010Cordero, A.; Martínez Alfaro, J.; Vindel, P. 5 2002 A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence. Zbl 1347.65097Cordero, Alicia; Kansal, Munish; Kanwar, Vinay; Torregrosa, Juan R. 5 2016 Period-doubling bifurcations in the family of Chebyshev-Halley-type methods. Zbl 1291.37090Cordero, Alicia; Torregrosa, Juan R.; Vindel, P. 5 2013 An efficient Steffensen-like iterative method with memory. Zbl 1340.65091Cordero, Alicia; Lotfi, Taher; Khoshandi, Arezoo; Torregrosa, Juan R. 5 2015 Optimal iterative methods for finding multiple roots of nonlinear equations using weight functions and dynamics. Zbl 1466.65037Zafar, Fiza; Cordero, Alicia; Sultana, Sana; Torregrosa, Juan R. 5 2018 Multiplicity anomalies of an optimal fourth-order class of iterative methods for solving nonlinear equations. Zbl 1390.37077Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R. 5 2018 One-point Newton-type iterative methods: a unified point of view. Zbl 1297.65053Cordero, Alicia; Jordán, Cristina; Torregrosa, Juan R. 5 2015 A class of multi-point iterative methods for nonlinear equations. Zbl 1135.65322Cordero, A.; Torregrosa, Juan R. 5 2008 Bulbs of period two in the family of Chebyshev-Halley iterative methods on quadratic polynomials. Zbl 1272.37022Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura 5 2013 A family of derivative-free methods with high order of convergence and its application to nonsmooth equations. Zbl 1246.65079Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 5 2012 Preserving the order of convergence: low-complexity Jacobian-free iterative schemes for solving nonlinear systems. Zbl 1458.65056Amiri, A. R.; Cordero, A.; Darvishi, M. T.; Torregrosa, J. R. 4 2018 A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics. Zbl 1429.65103Bahl, Ashu; Cordero, Alicia; Sharma, Rajni; R. Torregrosa, Juan 4 2019 Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family. Zbl 1348.65086Campos, Beatriz; Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura 4 2016 On the convergence of a higher order family of methods and its dynamics. Zbl 1468.65056Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Ángel Alberto; Torregrosa, Juan Ramón 4 2017 Accelerated methods of order \(2p\) for systems of nonlinear equations. Zbl 1201.65078Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 4 2010 NMS flows on three-dimensional manifolds with one saddle periodic orbit. Zbl 1053.37013Campos, B.; Cordero, A.; Martínez Alfaro, J.; Vindel, P. 4 2004 Design of high-order iterative methods for nonlinear systems by using weight function procedure. Zbl 1433.65093Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P. 4 2015 On the extension of Householder’s method for weighted Moore-Penrose inverse. Zbl 1410.65082Soleimani, Farahnaz; Soleymani, Fazlollah; Cordero, Alicia; Torregrosa, Juan R. 4 2014 On the convergence of a damped Newton-like method with modified right hand side vector. Zbl 1410.65209Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Alberto; Torregrosa, Juan R. 4 2015 Dynamics and fractal dimension of Steffensen-type methods. Zbl 1461.65075Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R. 4 2015 Multidimensional stability analysis of a family of biparametric iterative methods: CMMSE2016. Zbl 1383.65047Cordero, Alicia; Maimó, Javier G.; Torregrosa, Juan R.; Vassileva, María P. 3 2017 Third-degree anomalies of Traub’s method. Zbl 1468.65055Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Á. Alberto; Torregrosa, Juan R. 3 2017 Numerically stable improved Chebyshev-Halley type schemes for matrix sign function. Zbl 1357.65047Cordero, Alicia; Soleymani, F.; Torregrosa, Juan R.; Ullah, M. Zaka 3 2017 Modifications of Newton’s method to extend the convergence domain. Zbl 1308.65072Budzko, Dzmitry; Cordero, Alicia; Torregrosa, Juan R. 3 2014 Multi-point iterative methods for systems of nonlinear equations. Zbl 1185.65089Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 3 2009 New family of iterative methods based on the Ermakov-Kalitkin scheme for solving nonlinear systems of equations. Zbl 1336.65088Budzko, D. A.; Cordero, A.; Torregrosa, J. R. 3 2015 Stability analysis of a parametric family of seventh-order iterative methods for solving nonlinear systems. Zbl 1426.65072Amiri, Abdolreza; Cordero, Alicia; Taghi Darvishi, M.; Torregrosa, Juan R. 3 2018 Study of a biparametric family of iterative methods. Zbl 1470.65096Campos, B.; Cordero, A.; Magreñán, Á. A.; Torregrosa, J. R.; Vindel, P. 3 2014 A family of Kurchatov-type methods and its stability. Zbl 1411.65071Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R.; Haghani, F. Khaksar 3 2017 Design and multidimensional extension of iterative methods for solving nonlinear problems. Zbl 1411.65073Artidiello, S.; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, M. P. 3 2017 Highly efficient iterative algorithms for solving nonlinear systems with arbitrary order of convergence \(p + 3\), \(p \geq 5\). Zbl 1376.65084Cordero, Alicia; Jordán, Cristina; Sanabria-Codesal, Esther; Torregrosa, Juan R. 3 2018 King-type derivative-free iterative families: real and memory dynamics. Zbl 1378.65111Chicharro, F. I.; Cordero, A.; Torregrosa, J. R.; Vassileva, M. P. 3 2017 Stability and applicability of iterative methods with memory. Zbl 1416.92194Chicharro, Francisco I.; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan R. 3 2019 Preliminary orbit determination of artificial satellites: a vectorial sixth-order approach. Zbl 1470.65099Andreu, Carlos; Cambil, Noelia; Cordero, Alicia; Torregrosa, Juan R. 3 2013 Generating root-finder iterative methods of second order: convergence and stability. Zbl 1432.65060Chicharro, Francisco I.; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan R. 3 2019 Stability of a fourth order bi-parametric family of iterative methods. Zbl 1351.65029Cordero, Alicia; Maimó, Javier G.; Torregrosa, Juan R.; Vassileva, Maria P. 2 2017 An optimal and low computational cost fractional Newton-type method for solving nonlinear equations. Zbl 1487.65053Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P. 1 2022 A new higher-order optimal derivative free scheme for multiple roots. Zbl 1483.65077Behl, Ramandeep; Cordero, Alicia; Torregrosa, Juan R. 1 2022 New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis. Zbl 1470.65103Kansal, Munish; Cordero, Alicia; Bhalla, Sonia; Torregrosa, Juan R. 2 2021 A general class of arbitrary order iterative methods for computing generalized inverses. Zbl 07425010Cordero, Alicia; Soto-Quiros, Pablo; Torregrosa, Juan R. 1 2021 Solutions of fractional gas dynamics equation by a new technique. Zbl 1461.76363Akgül, Ali; Cordero, Alicia; Torregrosa, Juan Ramon 7 2020 Optimal eighth-order iterative methods for approximating multiple zeros of nonlinear functions. Zbl 1434.65071Zafar, Fiza; Cordero, Alicia; Junjua, Moin-Ud-Din; Torregrosa, Juan R. 2 2020 On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory. Zbl 1439.65068Chicharro, Francisco I.; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan R. 1 2020 Some variants of Halley’s method with memory and their applications for solving several chemical problems. Zbl 07184525Cordero, Alicia; Ramos, Higinio; Torregrosa, Juan R. 1 2020 Mean-based iterative methods for solving nonlinear chemistry problems. (CMMSE-2019 mean-based iterative methods for solving nonlinear chemistry problems.) Zbl 1432.92115Chicharro, Francisco I.; Cordero, Alicia; Martínez, Tobías H.; Torregrosa, Juan R. 1 2020 A fractional Newton method with \(2 \alpha\) th-order of convergence and its stability. Zbl 1468.65044Akgül, Ali; Cordero, Alicia; Torregrosa, Juan R. 10 2019 A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics. Zbl 1429.65103Bahl, Ashu; Cordero, Alicia; Sharma, Rajni; R. Torregrosa, Juan 4 2019 Stability and applicability of iterative methods with memory. Zbl 1416.92194Chicharro, Francisco I.; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan R. 3 2019 Generating root-finder iterative methods of second order: convergence and stability. Zbl 1432.65060Chicharro, Francisco I.; Cordero, Alicia; Garrido, Neus; Torregrosa, Juan R. 3 2019 A fast algorithm to solve systems of nonlinear equations. Zbl 1416.65140Amiri, Abdolreza; Cordero, Alicia; Darvishi, Mohammad Taghi; Torregrosa, Juan R. 2 2019 Dynamics of iterative families with memory based on weight functions procedure. Zbl 1432.65187Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R. 2 2019 Bi-parametric family of methods with memory based of Ostrowski-Chun method. Zbl 1434.65070Cordero, Alicia; Maimó, Javier G.; Torregrosa, Juan R.; Vassileva, Maria P. 1 2019 Avoiding strange attractors in efficient parametric families of iterative methods for solving nonlinear problems. Zbl 1407.65051Cordero, A.; Giménez-Palacios, I.; Torregrosa, J. R. 1 2019 Stability analysis of Jacobian-free iterative methods for solving nonlinear systems by using families of \(m\)th power divided differences. Zbl 1415.65118Amiri, A. R.; Cordero, Alicia; Darvishi, M. T.; Torregrosa, Juan R. 1 2019 An eighth-order family of optimal multiple root finders and its dynamics. Zbl 1402.65042Behl, Ramandeep; Cordero, Alicia; S. Motsa, Sandile; Torregrosa, Juan R. 14 2018 Optimal iterative methods for finding multiple roots of nonlinear equations using free parameters. Zbl 1404.92231Zafar, Fiza; Cordero, Alicia; Quratulain, R.; Torregrosa, Juan R. 10 2018 Choosing the most stable members of Kou’s family of iterative methods. Zbl 1376.65080Cordero, Alicia; Guasp, Lucia; Torregrosa, Juan R. 9 2018 Optimal iterative methods for finding multiple roots of nonlinear equations using weight functions and dynamics. Zbl 1466.65037Zafar, Fiza; Cordero, Alicia; Sultana, Sana; Torregrosa, Juan R. 5 2018 Multiplicity anomalies of an optimal fourth-order class of iterative methods for solving nonlinear equations. Zbl 1390.37077Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R. 5 2018 Preserving the order of convergence: low-complexity Jacobian-free iterative schemes for solving nonlinear systems. Zbl 1458.65056Amiri, A. R.; Cordero, A.; Darvishi, M. T.; Torregrosa, J. R. 4 2018 Stability analysis of a parametric family of seventh-order iterative methods for solving nonlinear systems. Zbl 1426.65072Amiri, Abdolreza; Cordero, Alicia; Taghi Darvishi, M.; Torregrosa, Juan R. 3 2018 Highly efficient iterative algorithms for solving nonlinear systems with arbitrary order of convergence \(p + 3\), \(p \geq 5\). Zbl 1376.65084Cordero, Alicia; Jordán, Cristina; Sanabria-Codesal, Esther; Torregrosa, Juan R. 3 2018 Dynamical techniques for analyzing iterative schemes with memory. Zbl 1398.65098Choubey, Neha; Cordero, A.; Jaiswal, J. P.; Torregrosa, J. R. 2 2018 Dynamical analysis on cubic polynomials of damped Traub’s method for approximating multiple roots. Zbl 1427.65066Vázquez-Lozano, J. Enrique; Cordero, Alicia; Torregrosa, Juan R. 2 2018 An efficient family of optimal eighth-order multiple root finders. Zbl 1427.65085Zafar, Fiza; Cordero, Alicia; Torregrosa, Juan R. 1 2018 Efficient four-parametric with-and-without-memory iterative methods possessing high efficiency indices. Zbl 1427.65068Cordero, Alicia; Junjua, Moin-ud-Din; Torregrosa, Juan R.; Yasmin, Nusrat; Zafar, Fiza 1 2018 Stability of King’s family of iterative methods with memory. Zbl 1373.37194Campos, Beatriz; Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura 12 2017 Efficient high-order iterative methods for solving nonlinear systems and their application on heat conduction problems. Zbl 1367.65117Cordero, Alicia; Gómez, Esther; Torregrosa, Juan R. 10 2017 Stable high-order iterative methods for solving nonlinear models. Zbl 1411.65074Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R. 10 2017 Widening basins of attraction of optimal iterative methods. Zbl 1372.37092Bakhtiari, Parisa; Cordero, Alicia; Lotfi, Taher; Mahdiani, Kathayoun; Torregrosa, Juan R. 6 2017 On the convergence of a higher order family of methods and its dynamics. Zbl 1468.65056Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Ángel Alberto; Torregrosa, Juan Ramón 4 2017 Multidimensional stability analysis of a family of biparametric iterative methods: CMMSE2016. Zbl 1383.65047Cordero, Alicia; Maimó, Javier G.; Torregrosa, Juan R.; Vassileva, María P. 3 2017 Third-degree anomalies of Traub’s method. Zbl 1468.65055Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Á. Alberto; Torregrosa, Juan R. 3 2017 Numerically stable improved Chebyshev-Halley type schemes for matrix sign function. Zbl 1357.65047Cordero, Alicia; Soleymani, F.; Torregrosa, Juan R.; Ullah, M. Zaka 3 2017 A family of Kurchatov-type methods and its stability. Zbl 1411.65071Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R.; Haghani, F. Khaksar 3 2017 Design and multidimensional extension of iterative methods for solving nonlinear problems. Zbl 1411.65073Artidiello, S.; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, M. P. 3 2017 King-type derivative-free iterative families: real and memory dynamics. Zbl 1378.65111Chicharro, F. I.; Cordero, A.; Torregrosa, J. R.; Vassileva, M. P. 3 2017 Stability of a fourth order bi-parametric family of iterative methods. Zbl 1351.65029Cordero, Alicia; Maimó, Javier G.; Torregrosa, Juan R.; Vassileva, Maria P. 2 2017 A new efficient and optimal sixteenth-order scheme for simple roots of nonlinear equations. Zbl 1413.65199Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R. 2 2017 A sixth-order iterative method for approximating the polar decomposition of an arbitrary matrix. Zbl 1357.65037Cordero, Alicia; Torregrosa, Juan R. 1 2017 An optimal fourth-order family of methods for multiple roots and its dynamics. Zbl 1339.65065Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R.; Kanwar, Vinay 27 2016 Stability study of eighth-order iterative methods for solving nonlinear equations. Zbl 1329.65100Cordero, Alicia; Magreñán, Alberto; Quemada, Carlos; Torregrosa, Juan R. 17 2016 Study of iterative methods through the Cayley quadratic test. Zbl 1329.65098Babajee, D. K. R.; Cordero, A.; Torregrosa, J. R. 15 2016 New efficient methods for solving nonlinear systems of equations with arbitrary even order. Zbl 1410.65180Abbasbandy, Saeid; Bakhtiari, Parisa; Cordero, Alicia; Torregrosa, Juan R.; Lotfi, Taher 13 2016 Stability analysis of a parametric family of iterative methods for solving nonlinear models. Zbl 1410.65183Cordero, Alicia; Gutiérrez, José M.; Magreñán, Á. Alberto; Torregrosa, Juan R. 10 2016 Some new bi-accelerator two-point methods for solving nonlinear equations. Zbl 1342.65126Cordero, Alicia; Lotfi, Taher; Torregrosa, Juan R.; Assari, Paria; Mahdiani, Katayoun 7 2016 A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence. Zbl 1347.65097Cordero, Alicia; Kansal, Munish; Kanwar, Vinay; Torregrosa, Juan R. 5 2016 Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family. Zbl 1348.65086Campos, Beatriz; Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura 4 2016 On the design of optimal iterative methods for solving nonlinear equations. Zbl 1353.65040Cordero, Alicia; Torregrosa, Juan R. 1 2016 Chaos and convergence of a family generalizing Homeier’s method with damping parameters. Zbl 1349.37048Cordero, Alicia; Franques, Antonio; Torregrosa, Juan R. 1 2016 Damped Traub’s method: convergence and stability. Zbl 07313591Cordero, Alicia; Ferrero, Alfredo; Torregrosa, Juan R. 1 2016 On developing fourth-order optimal families of methods for multiple roots and their dynamics. Zbl 1410.65147Behl, Ramandeep; Cordero, Alicia; Motsa, S. S.; Torregrosa, Juan R. 30 2015 Some new efficient multipoint iterative methods for solving nonlinear systems of equations. Zbl 1328.65124Lotfi, Taher; Bakhtiari, Parisa; Cordero, Alicia; Mahdiani, Katayoun; Torregrosa, Juan R. 24 2015 On the local convergence of a fifth-order iterative method in Banach spaces. Zbl 1328.65130Cordero, A.; Ezquerro, J. A.; Hernández-Verón, M. A.; Torregrosa, J. R. 24 2015 An efficient two-parametric family with memory for nonlinear equations. Zbl 1309.65053Cordero, Alicia; Lotfi, Taher; Bakhtiari, Parisa; Torregrosa, Juan R. 20 2015 Solving nonlinear problems by Ostrowski-Chun type parametric families. Zbl 1326.65061Cordero, Alicia; Maimó, Javier G.; Torregrosa, Juan R.; Vassileva, María P. 19 2015 Low-complexity root-finding iteration functions with no derivatives of any order of convergence. Zbl 1334.65084Cordero, Alicia; Torregrosa, Juan R. 17 2015 Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces. Zbl 1295.65066Cordero, A.; Hernández-Verón, M. A.; Romero, N.; Torregrosa, J. R. 16 2015 A new fourth-order family for solving nonlinear problems and its dynamics. Zbl 1318.65028Cordero, Alicia; Feng, Licheng; Magreñán, Alberto; Torregrosa, Juan R. 12 2015 Two weighted eight-order classes of iterative root-finding methods. Zbl 1329.65097Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P. 10 2015 Construction of fourth-order optimal families of iterative methods and their dynamics. Zbl 1410.65146Behl, Ramandeep; Cordero, Alicia; Motsa, Sandile S.; Torregrosa, Juan R. 10 2015 A stable family with high order of convergence for solving nonlinear equations. Zbl 1410.65154Cordero, Alicia; Lotfi, Taher; Mahdiani, Katayoun; Torregrosa, Juan R. 8 2015 Dynamics of the family of c-iterative methods. Zbl 1342.37049Campos, B.; Cordero, Alicia; Torregrosa, Juan R.; Vindel, P. 8 2015 A multidimensional dynamical approach to iterative methods with memory. Zbl 1410.65149Campos, Beatriz; Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura 8 2015 Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure. Zbl 1410.65144Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, Maria P. 7 2015 A new family of iterative methods widening areas of convergence. Zbl 1338.65126Budzko, Dzmitry; Cordero, Alicia; Torregrosa, Juan R. 6 2015 An efficient Steffensen-like iterative method with memory. Zbl 1340.65091Cordero, Alicia; Lotfi, Taher; Khoshandi, Arezoo; Torregrosa, Juan R. 5 2015 One-point Newton-type iterative methods: a unified point of view. Zbl 1297.65053Cordero, Alicia; Jordán, Cristina; Torregrosa, Juan R. 5 2015 Design of high-order iterative methods for nonlinear systems by using weight function procedure. Zbl 1433.65093Artidiello, Santiago; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P. 4 2015 On the convergence of a damped Newton-like method with modified right hand side vector. Zbl 1410.65209Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Alberto; Torregrosa, Juan R. 4 2015 Dynamics and fractal dimension of Steffensen-type methods. Zbl 1461.65075Chicharro, Francisco I.; Cordero, Alicia; Torregrosa, Juan R. 4 2015 New family of iterative methods based on the Ermakov-Kalitkin scheme for solving nonlinear systems of equations. Zbl 1336.65088Budzko, D. A.; Cordero, A.; Torregrosa, J. R. 3 2015 Numerical solution of turbulence problems by solving Burgers’ equation. Zbl 1461.76351Cordero, Alicia; Franques, Antonio; Torregrosa, Juan R. 2 2015 On the convergence of a damped secant method with modified right-hand side vector. Zbl 1338.65140Argyros, Ioannis K.; Cordero, Alicia; Alberto Magreñán, Á.; Torregrosa, J. R. 1 2015 On improved three-step schemes with high efficiency index and their dynamics. Zbl 1300.65028Babajee, Diyashvir K. R.; Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R. 18 2014 Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension? Zbl 1336.65089Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R. 17 2014 A family of seventh-order schemes for solving nonlinear systems. Zbl 1413.65196Abad, Manuel; Cordero, Alicia; Torregrosa, Juan R. 14 2014 A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem. Zbl 1410.65143Andreu, Carlos; Cambil, Noelia; Cordero, Alicia; Torregrosa, Juan R. 12 2014 Basins of attraction for various Steffensen-type methods. Zbl 1406.65035Cordero, Alicia; Soleymani, Fazlollah; Torregrosa, Juan R.; Shateyi, Stanford 10 2014 Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior. Zbl 1314.65070Cordero, A.; Fardi, M.; Ghasemi, M.; Torregrosa, J. R. 10 2014 Two optimal general classes of iterative methods with eighth-order. Zbl 1305.65142Cordero, Alicia; Lotfi, Taher; Mahdiani, Katayoun; Torregrosa, Juan R. 9 2014 On the extension of Householder’s method for weighted Moore-Penrose inverse. Zbl 1410.65082Soleimani, Farahnaz; Soleymani, Fazlollah; Cordero, Alicia; Torregrosa, Juan R. 4 2014 Modifications of Newton’s method to extend the convergence domain. Zbl 1308.65072Budzko, Dzmitry; Cordero, Alicia; Torregrosa, Juan R. 3 2014 Study of a biparametric family of iterative methods. Zbl 1470.65096Campos, B.; Cordero, A.; Magreñán, Á. A.; Torregrosa, J. R.; Vindel, P. 3 2014 Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane. Zbl 07312639Magreñán, Ángel Alberto; Cordero, Alicia; Gutiérrez, José M.; Torregrosa, Juan R. 1 2014 Chaos in King’s iterative family. Zbl 1370.37155Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, Maria P.; Vindel, Pura 83 2013 Complex dynamics of derivative-free methods for nonlinear equations. Zbl 1286.65059Chicharro, Francisco; Cordero, Alicia; Gutiérrez, José M.; Torregrosa, Juan R. 68 2013 Dynamics of a family of Chebyshev-Halley type methods. Zbl 1288.65065Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura 58 2013 Increasing the order of convergence of iterative schemes for solving nonlinear systems. Zbl 1288.65070Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P. 25 2013 Derivative-free high-order methods applied to preliminary orbit determination. Zbl 1305.70018Chicharro, Francisco; Cordero, Alicia; Torregrosa, Juan R. 25 2013 A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations. Zbl 1288.65064Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 15 2013 Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods. Zbl 1291.65149Artidiello, Santiago; Chicharro, Francisco; Cordero, Alicia; Torregrosa, Juan R. 13 2013 Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation. Zbl 1305.65141Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R. 12 2013 Fourth- and fifth-order methods for solving nonlinear systems of equations: an application to the global positioning system. Zbl 1275.65028Abad, Manuel F.; Cordero, Alicia; Torregrosa, Juan R. 12 2013 Period-doubling bifurcations in the family of Chebyshev-Halley-type methods. Zbl 1291.37090Cordero, Alicia; Torregrosa, Juan R.; Vindel, P. 5 2013 Bulbs of period two in the family of Chebyshev-Halley iterative methods on quadratic polynomials. Zbl 1272.37022Cordero, Alicia; Torregrosa, Juan R.; Vindel, Pura 5 2013 ...and 28 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 499 Authors 122 Torregrosa Sanchez, Juan Ramón 120 Cordero, Alicia 92 Argyros, Ioannis Konstantinos 45 Behl, Ramandeep 39 George, Santhosh 36 Sharma, Janak Raj 35 Magreñán, Ángel Alberto 33 Martínez, Eulalia 32 Soleymani, Fazlollah 24 Neta, Beny 23 Hueso, José Luis 23 Lotfi, Taher 22 Chun, Changbum 19 Jaiswal, Jai Prakash 19 Motsa, Sandile Sydney 19 Vassileva, María P. 18 Vindel, Pura 17 Gupta, Dharmendra Kumar 17 Kanwar, Vinay 17 Parhi, Sanjaya Kumar 17 Sharma, Debasis 16 Alshomrani, Ali Saleh 16 Kansal, Munish 16 Kim, Young Ik 12 Campos, Beatriz 12 Singh, Sukhjit 11 Ahmad, Fayyaz 11 Geum, Young Hee 11 Salimi, Mehdi 11 Sharma, Rajni 11 Zafar, Fiza 10 Babajee, Diyashvir Kreetee Rajiv 10 Kumar, Deepak 10 Sharifi, Somayeh 10 Ullah, Malik Zaka 10 Wang, Xiaofeng 9 Gutiérrez, José Manuel 9 Hernández-Verón, Miguel Ángel 9 Sunanda, Shanta Kumari 8 Arora, Himani 8 Chicharro, Francisco I. 8 Jayaraman, Jayakumar 8 Maroju, Prashanth 8 Shateyi, Stanford 7 Amat, Sergio P. 7 Bakhtiari, Parisa 7 Bhatia, Saurabh 7 Junjua, Moin-ud-Din 7 Kumar, Abhimanyu 7 Kumar, Sunil 7 Madhu, Kalyanasundaram 6 Akram, Saima 6 Argyros, Christopher I. 6 Bala Abubakar, Auwal 6 Petković, Miodrag S. 6 Serra-Capizzano, Stefano 6 Zhanlav, Thugal 5 Artidiello, Santiago 5 Bahl, Ashu 5 Busquier, Sonia 5 Garrido, Neus 5 Herceg, Đorđe D. 5 Kumam, Poom 5 Mir, Nazir Ahmad 5 Rafiq, Naila 5 Sayevand, Khosro 5 Shams, Mudassir 5 Teruel, Carles 5 Torkashvand, Vali 5 Xiao, Xiaoyong 4 Ahmad, Shamshad 4 Akgül, Ali 4 Argyros, Michael I. 4 Assari, Paria 4 Awwal, Aliyu Muhammed 4 Bhalla, Sonia 4 Ćebić, Dejan 4 Choubey, Neha 4 Darvishi, Mohammad Taghi 4 Džunić, Jovana 4 Ferrara, Massimiliano 4 Garijo, Antonio 4 Jidesh, P. 4 Lin, Rongfei 4 Mahdiani, Katayoun 4 Maimó, Javier G. 4 Narang, Mona 4 Otgondorj, Khuder 4 Petković, Ljiljana D. 4 Ralević, Nebojša M. 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