Edit Profile (opens in new tab) Busquier, Sonia Co-Author Distance Author ID: busquier.sonia Published as: Busquier, Sonia; Busquier, S. Documents Indexed: 81 Publications since 1998 1 Contribution as Editor Co-Authors: 33 Co-Authors with 82 Joint Publications 306 Co-Co-Authors all top 5 Co-Authors 0 single-authored 81 Amat Plata, Sergio 19 Plaza, Sergio 11 Bermúdez, Concepción 9 Argyros, Ioannis Konstantinos 9 Trillo, Juan Carlos 8 Candela, Vicente F. 7 Hernández-Verón, Miguel Ángel 6 Magreñán, Ángel Alberto 5 Gutiérrez, José Manuel 4 Escudero, Antonio 4 Hilout, Saïd 4 Manzano, Fernando 3 Grau-Sánchez, Miquel 2 Alarcón, Virginia 2 El kebir, Dhafer 2 Legaz, María José 2 Martínez, Eulalia 1 Blanda, J. 1 Blázquez, Pedro J. 1 Ezquerro, José Antonio 1 Grau, Àngela 1 Gretay, J. 1 Hernández, Miguel Ángel 1 Leauthier, P. 1 López, David J. 1 Mestiri, Driss 1 Navarro, Emilie 1 Negra, Mehdi 1 Orcos, Lara 1 Ramos, Higinio 1 Rubio, María Jesús 1 Yáñez, Dionisio F. 1 Zouaoui, Sofiane all top 5 Serials 17 Journal of Computational and Applied Mathematics 9 Applied Mathematics and Computation 4 Numerical Algorithms 3 Journal of Mathematical Analysis and Applications 3 International Journal of Computer Mathematics 2 Mathematical Methods in the Applied Sciences 2 Numerical Functional Analysis and Optimization 2 Journal of Computational Mathematics 2 Applied Mathematics Letters 2 Numerical Linear Algebra with Applications 2 Southwest Journal of Pure and Applied Mathematics 2 Abstract and Applied Analysis 2 International Mathematical Journal 1 Computers & Mathematics with Applications 1 Journal of the Franklin Institute 1 Rocky Mountain Journal of Mathematics 1 Journal of Optimization Theory and Applications 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Aequationes Mathematicae 1 Communications on Applied Nonlinear Analysis 1 International Journal of Computational Fluid Dynamics 1 Nonlinear Dynamics 1 IMHOTEP. Journal Africain de Mathématiques Pures et Appliquées 1 The ANZIAM Journal 1 Computational Methods in Applied Mathematics 1 Journal of Computational Methods in Sciences and Engineering 1 Rivista di Matematica della Università di Parma. Serie 7 1 ANACM. Applied Numerical Analysis and Computational Mathematics 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Scientia. Series A: Mathematical Sciences. New Series 1 Algorithms 1 Science China. Mathematics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Malaysian Journal of Mathematical Sciences 1 S\(\vec{\text{e}}\)MA Journal 1 SEMA SIMAI Springer Series 1 Applied Mathematics and Nonlinear Sciences all top 5 Fields 73 Numerical analysis (65-XX) 29 Operator theory (47-XX) 10 Functions of a complex variable (30-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Information and communication theory, circuits (94-XX) 5 Ordinary differential equations (34-XX) 5 Partial differential equations (35-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 64 Publications have been cited 1,199 times in 682 Documents Cited by ▼ Year ▼ Geometric constructions of iterative functions to solve nonlinear equations. Zbl 1024.65040 Amat, S.; Busquier, S.; Gutiérrez, J. M. 174 2003 Review of some iterative root-finding methods from a dynamical point of view. Zbl 1137.37316 Amat, Sergio; Busquier, Sonia; Plaza, Sergio 142 2004 Dynamics of the King and Jarratt iterations. Zbl 1068.30019 Amat, Sergio; Busquier, Sonia; Plaza, Sergio 110 2005 Chaotic dynamics of a third-order Newton-type method. Zbl 1187.65050 Amat, S.; Busquier, S.; Plaza, S. 69 2010 Third-order iterative methods under Kantorovich conditions. Zbl 1128.65036 Amat, S.; Busquier, S. 47 2007 Dynamics of a family of third-order iterative methods that do not require using second derivatives. Zbl 1057.65023 Amat, Sergio; Busquier, Sonia; Plaza, Sergio 46 2004 Adaptive approximation of nonlinear operators. Zbl 1071.65077 Amat, Sergio; Busquier, Sonia; Negra, Mehdi 41 2004 A two-step Steffensen’s method under modified convergence conditions. Zbl 1103.65060 Amat, S.; Busquier, S. 32 2006 Convergence and numerical analysis of a family of two-step Steffensen’s methods. Zbl 1075.65080 Amat, S.; Busquier, S. 29 2005 A class of quasi-Newton generalized Steffensen methods on Banach spaces. Zbl 1016.65035 Amat, Sergio; Busquier, Sonia; Candela, Vicente 28 2002 A construction of attracting periodic orbits for some classical third-order iterative methods. Zbl 1113.65047 Amat, S.; Busquier, Sonia; Plaza, S. 28 2006 On a higher order secant method. Zbl 1035.65057 Amat, Sergio; Busquier, Sonia 26 2003 Advances in iterative methods for nonlinear equations. Zbl 1356.65002 25 2016 Third-order iterative methods with applications to Hammerstein equations: a unified approach. Zbl 1216.65064 Amat, S.; Busquier, S.; Gutiérrez, J. M. 25 2011 On two families of high order Newton type methods. Zbl 1252.65090 Amat, S.; Busquier, S.; Bermúdez, C.; Plaza, S. 25 2012 Reducing chaos and bifurcations in Newton-type methods. Zbl 1470.65095 Amat, S.; Busquier, S.; Magreñán, Á. A. 22 2013 On a Steffensen’s type method and its behavior for semismooth equations. Zbl 1096.65047 Amat, Sergio; Busquier, Sonia 21 2006 A Steffensen’s type method in Banach spaces with applications on boundary-value problems. Zbl 1139.65040 Alarcón, Virginia; Amat, Sergio; Busquier, Sonia; López, David J. 21 2008 Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications. Zbl 1288.65069 Amat, Sergio; Busquier, Sonia; Grau, Àngela; Grau-Sánchez, Miquel 20 2013 On the local convergence of secant-type methods. Zbl 1068.65068 Amat, S.; Busquier, S.; Gutiérrez, J. M. 19 2004 On a third-order Newton-type method free of bilinear operators. Zbl 1240.49046 Amat, S.; Bermúdez, C.; Busquier, S.; Plaza, S. 18 2010 An adaptive version of a fourth-order iterative method for quadratic equations. Zbl 1094.65050 Amat, Sergio; Busquier, Sonia; Gutiérrez, José M. 14 2006 A modified secant method for semismooth equations. Zbl 1059.65042 Amat, S.; Busquier, S. 14 2003 A fast Chebyshev’s method for quadratic equations. Zbl 1038.65045 Amat, Sergio; Busquier, Sonia; El kebir, Dhafer; Molina, José 13 2004 On the local convergence study for an efficient \(k\)-step iterative method. Zbl 1503.65115 Amat, S.; Argyros, I. K.; Busquier, S.; Hernández-Verón, M. A.; Martínez, E. 13 2018 On the global convergence of Chebyshev’s iterative method. Zbl 1149.65035 Amat, S.; Busquier, S.; Gutiérrez, J. M.; Hernández, M. A. 11 2008 Geometry and convergence of some third-order methods. Zbl 0992.65047 Amat, Sergio; Busquier, Sonia 10 2001 On the election of the damped parameter of a two-step relaxed Newton-type method. Zbl 1354.65157 Amat, Sergio; Busquier, Sonia; Bermúdez, Concepción; Magreñán, Á. Alberto 10 2016 A polynomial approach to the piecewise hyperbolic method. Zbl 1043.76528 Amat, Sergio; Busquier, Sonia; Candela, Vicente 9 2003 A family of Halley-Chebyshev iterative schemes for non-Fréchet differentiable operators. Zbl 1173.65036 Amat, Sergio; Bermúdez, Concepción; Busquier, Sonia; Mestiri, Driss 9 2009 On the dynamics of the Euler iterative function. Zbl 1137.65027 Amat, S.; Bermúdez, C.; Busquier, S.; Plaza, S. 9 2008 On a family of high-order iterative methods under Kantorovich conditions and some applications. Zbl 1273.47105 Amat, S.; Bermúdez, C.; Busquier, S.; Legaz, M. J.; Plaza, S. 9 2012 On multiresolution schemes using a stencil selection procedure: applications to ENO schemes. Zbl 1135.65308 Amat, Sergio; Busquier, Sonia; Trillo, J. Carlos 8 2007 On the dynamics of a family of third-order iterative functions. Zbl 1130.37043 Amat, Sergio; Busquier, Sonia; Plaza, Sergio 8 2007 Nonlinear Harten’s multiresolution on the quincunx pyramid. Zbl 1087.94004 Amat, Sergio; Busquier, S.; Trillo, J. C. 8 2006 On two high-order families of frozen Newton-type methods. Zbl 1424.65072 Amat, S.; Argyros, I.; Busquier, S.; Hernández-Verón, M. A. 7 2018 A Steffensen type method of two steps in Banach spaces with applications. Zbl 1325.65077 Amat, S.; Busquier, S.; Ezquerro, J. A.; Hernández-Verón, M. A. 7 2016 After notes on Chebyshev’s iterative method. Zbl 1378.65114 Amat, S.; Busquier, S. 7 2017 Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions. Zbl 1359.65084 Amat, S.; Argyros, Ioannis K.; Busquier, S.; Magreñán, Á. Alberto 6 2017 Third-order methods on Riemannian manifolds under Kantorovich conditions. Zbl 1291.65165 Amat, S.; Busquier, S.; Castro, R.; Plaza, S. 5 2014 Lagrange interpolation for continuous piecewise smooth functions. Zbl 1156.41002 Amat, Sergio; Busquier, Sonia; Escudero, Antonio; Trillo, J. Carlos 4 2008 Third-order iterative methods without using any Fréchet derivative. Zbl 1037.65058 Amat, Sergio; Busquier, Sonia; Candela, Vicente 4 2003 Convergence by nondiscrete mathematical induction of a two step secant’s method. Zbl 1140.65040 Amat, S.; Bermúdez, C.; Busquier, S.; Gretay, J. 4 2007 Third order iterative methods without using second Fréchet derivative. Zbl 1054.65056 Amat, Sergio; Busquier, Sonia; Candela, Vicente 4 2004 Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. Zbl 1364.65113 Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. 4 2014 At Steffensen’s type method with modified functions. Zbl 1143.65038 Amat, S.; Blanda, J.; Busquier, S. 3 2007 Stable interpolatory multiresolution in 3D. Zbl 1086.94002 Amat, Sergio; Busquier, Sonia; Trillo, J. C. 3 2005 Superattracting cycles for some Newton type iterative methods. Zbl 1218.37123 Amat, Sergio; Busquier, Sonia; Navarro, Emilie; Plaza, Sergio 3 2011 Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems. Zbl 1262.65078 Amat, Sergio; Busquier, Sonia; Legaz, María José; Manzano, Fernando; Ruiz, Juan 3 2012 On a bilinear operator free third order method on Riemannian manifolds. Zbl 1296.65079 Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. 3 2013 High order iterative schemes for quadratic equations. Zbl 1155.65039 Alarcón, Virginia; Amat, Sergio; Busquier, Sonia; Manzano, Fernando 2 2008 Compression of locally oscillatory signal with discontinuities. Zbl 1221.42050 Amat, Sergio; Busquier, Sonia; El kebir, Dhafer; Molina, José 2 2002 On the dynamics of some Newton’s type iterative functions. Zbl 1165.65341 Amat, S.; Bermúdez, C.; Busquier, S.; Leauthier, P.; Plaza, S. 2 2009 Stable biorthogonal multiresolution in 3D. Zbl 1147.65008 Amat, S.; Busquier, S.; Trillo, J. C. 2 2006 Traub-type high order iterative procedures on Riemannian manifolds. Zbl 1317.47061 Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. 2 2014 Expanding the applicability of a third order Newton-type method free of bilinear operators. Zbl 1461.65096 Amat, Sergio; Busquier, Sonia; Bermúdez, Concepción; Magreñán, Ángel Alberto 1 2015 Super-attracting periodic orbits for a classical third order method. Zbl 1115.65052 Amat, S.; Bermúdez, C.; Busquier, S.; Carrasco, J.; Plaza, S. 1 2007 A multistep Steffensen-type method for solving nonlinear systems of equations. Zbl 1448.65050 Amat, Sergio; Argyros, Ioannis K.; Busquier, Sonia; Hernández-Verón, Miguel A.; Magreñán, Á. Alberto; Martínez, Eulalia 1 2020 On the local and semilocal convergence of a parameterized multi-step Newton method. Zbl 1437.65040 Amat, S.; Argyros, I.; Busquier, S.; Hernández-Verón, M. A.; Yañez, D. F. 1 2020 Expanding the applicability of high-order Traub-type iterative procedures. Zbl 1308.65082 Amat, Sergio; Argyros, Ioannis K.; Busquier, Sonia; Hilout, Saïd 1 2014 Reciprocal polynomial extrapolation. Zbl 1059.65059 Amat, Sergio; Busquier, Sonia; Candela, Vicente F. 1 2004 An overview on Steffensen-type methods. Zbl 1353.65048 Amat, S.; Busquier, S.; Magreñán, Á. A.; Orcos, L. 1 2016 Wavelets for the Maxwell’s equations: an overview. Zbl 1367.65198 Amat, Sergio; Blázquez, Pedro J.; Busquier, Sonia; Bermúdez, Concepción 1 2017 On the efficiency of a family of Steffensen-like methods with frozen divided differences. Zbl 1359.65077 Amat, Sergio; Busquier, Sonia; Grau-Sánchez, Miquel; Hernández-Verón, Miguel A. 1 2017 A multistep Steffensen-type method for solving nonlinear systems of equations. Zbl 1448.65050 Amat, Sergio; Argyros, Ioannis K.; Busquier, Sonia; Hernández-Verón, Miguel A.; Magreñán, Á. Alberto; Martínez, Eulalia 1 2020 On the local and semilocal convergence of a parameterized multi-step Newton method. Zbl 1437.65040 Amat, S.; Argyros, I.; Busquier, S.; Hernández-Verón, M. A.; Yañez, D. F. 1 2020 On the local convergence study for an efficient \(k\)-step iterative method. Zbl 1503.65115 Amat, S.; Argyros, I. K.; Busquier, S.; Hernández-Verón, M. A.; Martínez, E. 13 2018 On two high-order families of frozen Newton-type methods. Zbl 1424.65072 Amat, S.; Argyros, I.; Busquier, S.; Hernández-Verón, M. A. 7 2018 After notes on Chebyshev’s iterative method. Zbl 1378.65114 Amat, S.; Busquier, S. 7 2017 Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions. Zbl 1359.65084 Amat, S.; Argyros, Ioannis K.; Busquier, S.; Magreñán, Á. Alberto 6 2017 Wavelets for the Maxwell’s equations: an overview. Zbl 1367.65198 Amat, Sergio; Blázquez, Pedro J.; Busquier, Sonia; Bermúdez, Concepción 1 2017 On the efficiency of a family of Steffensen-like methods with frozen divided differences. Zbl 1359.65077 Amat, Sergio; Busquier, Sonia; Grau-Sánchez, Miquel; Hernández-Verón, Miguel A. 1 2017 Advances in iterative methods for nonlinear equations. Zbl 1356.65002 25 2016 On the election of the damped parameter of a two-step relaxed Newton-type method. Zbl 1354.65157 Amat, Sergio; Busquier, Sonia; Bermúdez, Concepción; Magreñán, Á. Alberto 10 2016 A Steffensen type method of two steps in Banach spaces with applications. Zbl 1325.65077 Amat, S.; Busquier, S.; Ezquerro, J. A.; Hernández-Verón, M. A. 7 2016 An overview on Steffensen-type methods. Zbl 1353.65048 Amat, S.; Busquier, S.; Magreñán, Á. A.; Orcos, L. 1 2016 Expanding the applicability of a third order Newton-type method free of bilinear operators. Zbl 1461.65096 Amat, Sergio; Busquier, Sonia; Bermúdez, Concepción; Magreñán, Ángel Alberto 1 2015 Third-order methods on Riemannian manifolds under Kantorovich conditions. Zbl 1291.65165 Amat, S.; Busquier, S.; Castro, R.; Plaza, S. 5 2014 Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. Zbl 1364.65113 Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. 4 2014 Traub-type high order iterative procedures on Riemannian manifolds. Zbl 1317.47061 Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. 2 2014 Expanding the applicability of high-order Traub-type iterative procedures. Zbl 1308.65082 Amat, Sergio; Argyros, Ioannis K.; Busquier, Sonia; Hilout, Saïd 1 2014 Reducing chaos and bifurcations in Newton-type methods. Zbl 1470.65095 Amat, S.; Busquier, S.; Magreñán, Á. A. 22 2013 Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications. Zbl 1288.65069 Amat, Sergio; Busquier, Sonia; Grau, Àngela; Grau-Sánchez, Miquel 20 2013 On a bilinear operator free third order method on Riemannian manifolds. Zbl 1296.65079 Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. 3 2013 On two families of high order Newton type methods. Zbl 1252.65090 Amat, S.; Busquier, S.; Bermúdez, C.; Plaza, S. 25 2012 On a family of high-order iterative methods under Kantorovich conditions and some applications. Zbl 1273.47105 Amat, S.; Bermúdez, C.; Busquier, S.; Legaz, M. J.; Plaza, S. 9 2012 Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems. Zbl 1262.65078 Amat, Sergio; Busquier, Sonia; Legaz, María José; Manzano, Fernando; Ruiz, Juan 3 2012 Third-order iterative methods with applications to Hammerstein equations: a unified approach. Zbl 1216.65064 Amat, S.; Busquier, S.; Gutiérrez, J. M. 25 2011 Superattracting cycles for some Newton type iterative methods. Zbl 1218.37123 Amat, Sergio; Busquier, Sonia; Navarro, Emilie; Plaza, Sergio 3 2011 Chaotic dynamics of a third-order Newton-type method. Zbl 1187.65050 Amat, S.; Busquier, S.; Plaza, S. 69 2010 On a third-order Newton-type method free of bilinear operators. Zbl 1240.49046 Amat, S.; Bermúdez, C.; Busquier, S.; Plaza, S. 18 2010 A family of Halley-Chebyshev iterative schemes for non-Fréchet differentiable operators. Zbl 1173.65036 Amat, Sergio; Bermúdez, Concepción; Busquier, Sonia; Mestiri, Driss 9 2009 On the dynamics of some Newton’s type iterative functions. Zbl 1165.65341 Amat, S.; Bermúdez, C.; Busquier, S.; Leauthier, P.; Plaza, S. 2 2009 A Steffensen’s type method in Banach spaces with applications on boundary-value problems. Zbl 1139.65040 Alarcón, Virginia; Amat, Sergio; Busquier, Sonia; López, David J. 21 2008 On the global convergence of Chebyshev’s iterative method. Zbl 1149.65035 Amat, S.; Busquier, S.; Gutiérrez, J. M.; Hernández, M. A. 11 2008 On the dynamics of the Euler iterative function. Zbl 1137.65027 Amat, S.; Bermúdez, C.; Busquier, S.; Plaza, S. 9 2008 Lagrange interpolation for continuous piecewise smooth functions. Zbl 1156.41002 Amat, Sergio; Busquier, Sonia; Escudero, Antonio; Trillo, J. Carlos 4 2008 High order iterative schemes for quadratic equations. Zbl 1155.65039 Alarcón, Virginia; Amat, Sergio; Busquier, Sonia; Manzano, Fernando 2 2008 Third-order iterative methods under Kantorovich conditions. Zbl 1128.65036 Amat, S.; Busquier, S. 47 2007 On multiresolution schemes using a stencil selection procedure: applications to ENO schemes. Zbl 1135.65308 Amat, Sergio; Busquier, Sonia; Trillo, J. Carlos 8 2007 On the dynamics of a family of third-order iterative functions. Zbl 1130.37043 Amat, Sergio; Busquier, Sonia; Plaza, Sergio 8 2007 Convergence by nondiscrete mathematical induction of a two step secant’s method. Zbl 1140.65040 Amat, S.; Bermúdez, C.; Busquier, S.; Gretay, J. 4 2007 At Steffensen’s type method with modified functions. Zbl 1143.65038 Amat, S.; Blanda, J.; Busquier, S. 3 2007 Super-attracting periodic orbits for a classical third order method. Zbl 1115.65052 Amat, S.; Bermúdez, C.; Busquier, S.; Carrasco, J.; Plaza, S. 1 2007 A two-step Steffensen’s method under modified convergence conditions. Zbl 1103.65060 Amat, S.; Busquier, S. 32 2006 A construction of attracting periodic orbits for some classical third-order iterative methods. Zbl 1113.65047 Amat, S.; Busquier, Sonia; Plaza, S. 28 2006 On a Steffensen’s type method and its behavior for semismooth equations. Zbl 1096.65047 Amat, Sergio; Busquier, Sonia 21 2006 An adaptive version of a fourth-order iterative method for quadratic equations. Zbl 1094.65050 Amat, Sergio; Busquier, Sonia; Gutiérrez, José M. 14 2006 Nonlinear Harten’s multiresolution on the quincunx pyramid. Zbl 1087.94004 Amat, Sergio; Busquier, S.; Trillo, J. C. 8 2006 Stable biorthogonal multiresolution in 3D. Zbl 1147.65008 Amat, S.; Busquier, S.; Trillo, J. C. 2 2006 Dynamics of the King and Jarratt iterations. Zbl 1068.30019 Amat, Sergio; Busquier, Sonia; Plaza, Sergio 110 2005 Convergence and numerical analysis of a family of two-step Steffensen’s methods. Zbl 1075.65080 Amat, S.; Busquier, S. 29 2005 Stable interpolatory multiresolution in 3D. Zbl 1086.94002 Amat, Sergio; Busquier, Sonia; Trillo, J. C. 3 2005 Review of some iterative root-finding methods from a dynamical point of view. Zbl 1137.37316 Amat, Sergio; Busquier, Sonia; Plaza, Sergio 142 2004 Dynamics of a family of third-order iterative methods that do not require using second derivatives. Zbl 1057.65023 Amat, Sergio; Busquier, Sonia; Plaza, Sergio 46 2004 Adaptive approximation of nonlinear operators. Zbl 1071.65077 Amat, Sergio; Busquier, Sonia; Negra, Mehdi 41 2004 On the local convergence of secant-type methods. Zbl 1068.65068 Amat, S.; Busquier, S.; Gutiérrez, J. M. 19 2004 A fast Chebyshev’s method for quadratic equations. Zbl 1038.65045 Amat, Sergio; Busquier, Sonia; El kebir, Dhafer; Molina, José 13 2004 Third order iterative methods without using second Fréchet derivative. Zbl 1054.65056 Amat, Sergio; Busquier, Sonia; Candela, Vicente 4 2004 Reciprocal polynomial extrapolation. Zbl 1059.65059 Amat, Sergio; Busquier, Sonia; Candela, Vicente F. 1 2004 Geometric constructions of iterative functions to solve nonlinear equations. Zbl 1024.65040 Amat, S.; Busquier, S.; Gutiérrez, J. M. 174 2003 On a higher order secant method. Zbl 1035.65057 Amat, Sergio; Busquier, Sonia 26 2003 A modified secant method for semismooth equations. Zbl 1059.65042 Amat, S.; Busquier, S. 14 2003 A polynomial approach to the piecewise hyperbolic method. Zbl 1043.76528 Amat, Sergio; Busquier, Sonia; Candela, Vicente 9 2003 Third-order iterative methods without using any Fréchet derivative. Zbl 1037.65058 Amat, Sergio; Busquier, Sonia; Candela, Vicente 4 2003 A class of quasi-Newton generalized Steffensen methods on Banach spaces. Zbl 1016.65035 Amat, Sergio; Busquier, Sonia; Candela, Vicente 28 2002 Compression of locally oscillatory signal with discontinuities. Zbl 1221.42050 Amat, Sergio; Busquier, Sonia; El kebir, Dhafer; Molina, José 2 2002 Geometry and convergence of some third-order methods. Zbl 0992.65047 Amat, Sergio; Busquier, Sonia 10 2001 all cited Publications top 5 cited Publications all top 5 Cited by 428 Authors 192 Argyros, Ioannis Konstantinos 71 Amat Plata, Sergio 65 Magreñán, Ángel Alberto 63 Torregrosa Sanchez, Juan Ramón 62 Cordero, Alicia 45 Busquier, Sonia 44 George, Santhosh 31 Neta, Beny 30 Chun, Changbum 30 Hernández-Verón, Miguel Ángel 27 Ezquerro, José Antonio 27 Kou, Jisheng 23 Hilout, Saïd 21 Behl, Ramandeep 21 Gutiérrez, José Manuel 18 Grau-Sánchez, Miquel 18 Martínez, Eulalia 18 Parhi, Sanjaya Kumar 18 Plaza, Sergio 18 Sharma, Debasis 16 Hernández, Miguel Ángel 16 Sharma, Janak Raj 16 Wang, Xiuhua 15 Kanwar, Vinay 15 Motsa, Sandile S. 15 Romero, Natalia 15 Vindel, Pura 14 Li, Yitian 14 Ren, Hongmin 14 Trillo, Juan Carlos 13 Hueso, José Luis 13 Kim, Young Ik 12 Bermúdez, Concepción 12 Kansal, Munish 11 González, Daniel 10 Noguera, Miquel 10 Sicilia, Juan Antonio 10 Sunanda, Shanta Kumari 9 Campos, Beatriz 9 Geum, Young Hee 9 Lotfi, Taher 9 Wu, Qingbiao 8 Khattri, Sanjay K. 8 Liandrat, Jacques 8 Salimi, Mehdi 8 Sharifi, Somayeh 8 Zheng, Quan 7 Anastassiou, George Angelos 7 Argyros, Christopher Ioannis 7 Chicharro, Francisco I. 6 Jayaraman, Jayakumar 6 Madhu, Kalyanasundaram 6 Petković, Miodrag S. 6 Rubio, María Jesús 6 Scott, Melvin R. 6 Singh, Manoj Kumar 6 Teruel, Carles 5 Argyros, Michael I. 5 Cătinaş, Emil 5 Garrido, Neus 5 Hernández Paricio, Luis Javier 5 Jaiswal, Jai Prakash 5 Păvăloiu, Ion 5 Ramos, Higinio 5 Ruiz, J. 5 Zhao, Yueqing 4 Babajee, Diyashvir Kreetee Rajiv 4 Bhatia, Saurabh 4 Dadourian, Karine 4 Díaz-Barrero, José Luis 4 Džunić, Jovana 4 Gu, Chuanqing 4 Gupta, Dharmendra Kumar 4 Honorato, Gerardo 4 Kogan, Tamara 4 Kumar, Himanshu 4 Noor, Muhammad Aslam 4 Orcos, Lara 4 Petković, Ljiljana D. 4 Sapir, Amir 4 Sapir, Luba 4 Sarría, Ínigo 4 Siegmund, Stefan 4 Singh, Arvind Kumar 4 Sivakumar, Parimala 4 Soleymani, Fazlollah 4 Varona Malumbres, Juan Luis 4 Xiao, Xiaoyong 4 Yáñez, Dionisio F. 4 Zhao, Peng 3 Ahmad, Faizan 3 Ahmad, Fayyaz 3 Alshomrani, Ali Saleh 3 Bi, Weihong 3 Candela, Vicente F. 3 Canela, Jordi 3 Chen, Jinhai 3 Darvishi, Mohammad Taghi 3 Ferrara, Massimiliano 3 Ferreira, Orizon Pereira ...and 328 more Authors all top 5 Cited in 136 Serials 155 Applied Mathematics and Computation 83 Journal of Computational and Applied Mathematics 61 Numerical Algorithms 38 S\(\vec{\text{e}}\)MA Journal 26 International Journal of Computer Mathematics 17 Journal of Mathematical Chemistry 13 Mathematics and Computers in Simulation 13 International Journal of Applied and Computational Mathematics 12 Journal of Complexity 11 Applicationes Mathematicae 10 Journal of Mathematical Analysis and Applications 10 Algorithms 8 Journal of Applied Mathematics and Computing 7 Applied Numerical Mathematics 7 Computational and Applied Mathematics 7 Abstract and Applied Analysis 6 Computers & Mathematics with Applications 6 Asian-European Journal of Mathematics 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Applied Mathematics Letters 5 Applied Mathematics E-Notes 5 Mediterranean Journal of Mathematics 4 Numerical Functional Analysis and Optimization 4 Journal of Scientific Computing 4 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 4 Arabian Journal of Mathematics 4 Mathematics 3 Calcolo 3 Journal of Optimization Theory and Applications 3 Journal of Global Optimization 3 Linear Algebra and its Applications 3 The Journal of Analysis 3 Discrete Dynamics in Nature and Society 3 Journal of Applied Mathematics 3 International Journal of Computational Methods 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerische Mathematik 2 Topology and its Applications 2 Acta Applicandae Mathematicae 2 Mathematical and Computer Modelling 2 Computational Optimization and Applications 2 Numerical Linear Algebra with Applications 2 Nonlinear Dynamics 2 Vietnam Journal of Mathematics 2 Novi Sad Journal of Mathematics 2 Journal of Inequalities and Applications 2 Communications in Nonlinear Science and Numerical Simulation 2 Qualitative Theory of Dynamical Systems 2 Central European Journal of Mathematics 2 Advances in Numerical Analysis 2 Symmetry 2 Afrika Matematika 2 Journal of Mathematical Extension 2 Journal of Nonlinear Analysis and Optimization: Theory & Applications 2 Axioms 2 Cogent Mathematics 1 Bulletin of the Australian Mathematical Society 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 BIT 1 Commentationes Mathematicae Universitatis Carolinae 1 Computing 1 Czechoslovak Mathematical Journal 1 The Journal of the Indian Mathematical Society. New Series 1 Matematički Vesnik 1 Mathematische Nachrichten 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 COMPEL 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Expositiones Mathematicae 1 Mathematical Programming. Series A. Series B 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Mathematics 1 SIAM Journal on Scientific Computing 1 Journal of the Egyptian Mathematical Society 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Convex Analysis 1 Complexity 1 Journal of Difference Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Discrete and Continuous Dynamical Systems 1 Revista Investigación Operacional 1 Mathematical Problems in Engineering 1 Taiwanese Journal of Mathematics 1 Matematychni Studiï 1 Chaos 1 Revista Matemática Complutense 1 LMS Journal of Computation and Mathematics 1 Communications of the Korean Mathematical Society 1 Engineering Computations 1 The ANZIAM Journal ...and 36 more Serials all top 5 Cited in 30 Fields 652 Numerical analysis (65-XX) 171 Operator theory (47-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 50 Dynamical systems and ergodic theory (37-XX) 31 Approximations and expansions (41-XX) 23 Operations research, mathematical programming (90-XX) 21 Integral equations (45-XX) 20 Functions of a complex variable (30-XX) 17 Ordinary differential equations (34-XX) 15 Difference and functional equations (39-XX) 13 Partial differential equations (35-XX) 12 Real functions (26-XX) 9 Computer science (68-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Information and communication theory, circuits (94-XX) 4 Special functions (33-XX) 4 Biology and other natural sciences (92-XX) 3 Number theory (11-XX) 3 Fluid mechanics (76-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Mathematics education (97-XX) Citations by Year