Edit Profile Amat, Sergio Compute Distance To: Compute Author ID: amat.sergio Published as: Amat, S.; Amat, Sergio Documents Indexed: 145 Publications since 1998, including 1 Book all top 5 Co-Authors 0 single-authored 80 Busquier, Sonia 27 Trillo, Juan Carlos 19 Plaza, Sergio 16 Liandrat, Jacques 14 Hernández-Verón, Miguel Ángel 12 Bermúdez, Concepción 10 Argyros, Ioannis Konstantinos 10 Candela, Vicente F. 9 Magreñán, Ángel Alberto 7 Dadourian, Karine 7 Donat, Rosa 7 Moncayo, María 6 Ruiz, Juan F. 5 Ezquerro, José Antonio 5 Grau-Sánchez, Miquel 5 Gutiérrez, José Manuel 5 Romero, Natalia 4 Escudero, Antonio 4 Hernández, Miguel Ángel 4 Hilout, Saïd 4 Legaz, María José 4 Manzano, Fernando 4 Pedregal, Pablo 4 Ruiz, Juan Carlos 3 Martínez, Eulalia 3 Rubio, María Jesús 3 Ruiz, Juan P. 2 Alarcón, Virginia 2 Aràndiga, Francesc 2 Castro, Regina 2 Cohen, Albert 2 El kebir, Dhafer 2 López, David J. 2 Zouaoui, Sofiane 1 Ali, Ihteram 1 Behl, Ramandeep 1 Blanda, J. 1 Blázquez, Pedro J. 1 Carrasco, Juan M. 1 Castro, Rafael S. 1 Castro, Roberto M. 1 Cherif, Hedi 1 Choutri, Aicha 1 Garcia, Gregori 1 Gómez, Manuel A. 1 Grau, Àngela 1 Gretay, J. 1 Leauthier, P. 1 Mestiri, Driss 1 Molina, Jose Carlos 1 Molina, José Manuel 1 Motsa, Sandile Sydney 1 Navarro, Emilie 1 Negra, Mehdi 1 Noguera, Miquel 1 Orcos, Lara 1 Reinoso, J. F. 1 von Oehsen, Markus all top 5 Serials 25 Journal of Computational and Applied Mathematics 17 Applied Mathematics and Computation 8 Numerical Algorithms 4 Journal of Mathematical Analysis and Applications 4 Numerical Linear Algebra with Applications 4 S\(\vec{\text{e}}\)MA Journal 3 International Journal of Computer Mathematics 3 International Mathematical Journal 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 Mathematics and Computers in Simulation 2 Numerical Functional Analysis and Optimization 2 Journal of Computational Mathematics 2 Applied Mathematics Letters 2 Applied and Computational Harmonic Analysis 2 Advances in Computational Mathematics 2 Southwest Journal of Pure and Applied Mathematics 2 Abstract and Applied Analysis 2 Engineering Computations 2 Algorithms 1 Computers & Mathematics with Applications 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Calcolo 1 Computing 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Numerische Mathematik 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Applied Numerical Mathematics 1 Optimization 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Signal Processing 1 Aequationes Mathematicae 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Communications on Applied Nonlinear Analysis 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 IMHOTEP. Journal Africain de Mathématiques Pures et Appliquées 1 The ANZIAM Journal 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Journal of 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 Mediterranean Journal of Mathematics 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Scientia. Series A: Mathematical Sciences. New Series 1 Science China. Mathematics 1 International Journal for Numerical Methods in Biomedical Engineering 1 SEMA SIMAI Springer Series 1 Applied Mathematics and Nonlinear Sciences all top 5 Fields 118 Numerical analysis (65-XX) 33 Operator theory (47-XX) 18 Information and communication theory, circuits (94-XX) 17 Approximations and expansions (41-XX) 10 Functions of a complex variable (30-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Ordinary differential equations (34-XX) 8 Partial differential equations (35-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Computer science (68-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 1 Difference and functional equations (39-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 115 Publications have been cited 1,427 times in 729 Documents Cited by ▼ Year ▼ Geometric constructions of iterative functions to solve nonlinear equations. Zbl 1024.65040Amat, S.; Busquier, S.; Gutiérrez, J. M. 156 2003 Review of some iterative root-finding methods from a dynamical point of view. Zbl 1137.37316Amat, Sergio; Busquier, Sonia; Plaza, Sergio 95 2004 Dynamics of the King and Jarratt iterations. Zbl 1068.30019Amat, Sergio; Busquier, Sonia; Plaza, Sergio 93 2005 A modified Chebyshev’s iterative method with at least sixth order of convergence. Zbl 1157.65369Amat, S.; Hernández, M. A.; Romero, N. 64 2008 Chaotic dynamics of a third-order Newton-type method. Zbl 1187.65050Amat, S.; Busquier, S.; Plaza, S. 59 2010 Third-order iterative methods under Kantorovich conditions. Zbl 1128.65036Amat, S.; Busquier, S. 44 2007 Dynamics of a family of third-order iterative methods that do not require using second derivatives. Zbl 1057.65023Amat, Sergio; Busquier, Sonia; Plaza, Sergio 38 2004 Analysis of a new nonlinear subdivision scheme. Applications in image processing. Zbl 1106.41001Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos 36 2006 Adaptive approximation of nonlinear operators. Zbl 1071.65077Amat, Sergio; Busquier, Sonia; Negra, Mehdi 35 2004 On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods. Zbl 1308.65074Grau-Sánchez, Miquel; Noguera, Miquel; Amat, Sergio 32 2013 On the stability of the PPH nonlinear multiresolution. Zbl 1077.65138Amat, Sergio; Liandrat, Jacques 32 2005 Tensor product multiresolution analysis with error control for compact image representation. Zbl 0994.94001Amat, Sergio; Aràndiga, Francesc; Cohen, Albert; Donat, Rosa 32 2002 A two-step Steffensen’s method under modified convergence conditions. Zbl 1103.65060Amat, S.; Busquier, S. 30 2006 A class of quasi-Newton generalized Steffensen methods on Banach spaces. Zbl 1016.65035Amat, Sergio; Busquier, Sonia; Candela, Vicente 28 2002 Convergence and numerical analysis of a family of two-step Steffensen’s methods. Zbl 1075.65080Amat, S.; Busquier, S. 27 2005 A construction of attracting periodic orbits for some classical third-order iterative methods. Zbl 1113.65047Amat, S.; Busquier, Sonia; Plaza, S. 26 2006 On a higher order secant method. Zbl 1035.65057Amat, Sergio; Busquier, Sonia 25 2003 On a Moser-Steffensen type method for nonlinear systems of equations. Zbl 1355.65069Amat, S.; Grau-Sanchez, M.; Hernández-Verón, M. A.; Rubio, M. J. 23 2016 Third-order iterative methods with applications to Hammerstein equations: a unified approach. Zbl 1216.65064Amat, S.; Busquier, S.; Gutiérrez, J. M. 22 2011 On a Steffensen’s type method and its behavior for semismooth equations. Zbl 1096.65047Amat, Sergio; Busquier, Sonia 22 2006 Data compression with ENO schemes: A case study. Zbl 0985.65011Amat, Sergio; Aràndiga, Francesc; Cohen, Albert; Donat, Rosa; Garcia, Gregori; von Oehsen, Markus 22 2001 Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms. Zbl 1252.65027Amat, S.; Dadourian, K.; Liandrat, J. 21 2011 On two families of high order Newton type methods. Zbl 1252.65090Amat, S.; Busquier, S.; Bermúdez, C.; Plaza, S. 20 2012 A Steffensen’s type method in Banach spaces with applications on boundary-value problems. Zbl 1139.65040Alarcón, Virginia; Amat, Sergio; Busquier, Sonia; López, David J. 19 2008 Semilocal convergence of a sixth order iterative method for quadratic equations. Zbl 1387.65049Amat, S.; Hernández, M. A.; Romero, N. 16 2012 On a third-order Newton-type method free of bilinear operators. Zbl 1240.49046Amat, S.; Bermúdez, C.; Busquier, S.; Plaza, S. 16 2010 On the local convergence of secant-type methods. Zbl 1068.65068Amat, S.; Busquier, S.; Gutiérrez, J. M. 16 2004 Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications. Zbl 1288.65069Amat, Sergio; Busquier, Sonia; Grau, Àngela; Grau-Sánchez, Miquel 15 2013 On a two-step relaxed Newton-type method. Zbl 1304.65149Amat, S.; Magreñán, Á. A.; Romero, N. 14 2013 A fast Chebyshev’s method for quadratic equations. Zbl 1038.65045Amat, Sergio; Busquier, Sonia; El kebir, Dhafer; Molina, José 13 2004 A modified secant method for semismooth equations. Zbl 1059.65042Amat, S.; Busquier, S. 13 2003 On the election of the damped parameter of a two-step relaxed Newton-type method. Zbl 1354.65157Amat, Sergio; Busquier, Sonia; Bermúdez, Concepción; Magreñán, Á. Alberto 11 2016 Advances in iterative methods for nonlinear equations. Zbl 1356.65002Amat, Sergio (ed.); Busquier, Sonia (ed.) 11 2016 A fully adaptive multiresolution scheme for image processing. Zbl 1134.68063Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos 11 2007 A family of Halley-Chebyshev iterative schemes for non-Fréchet differentiable operators. Zbl 1173.65036Amat, Sergio; Bermúdez, Concepción; Busquier, Sonia; Mestiri, Driss 10 2009 An adaptive version of a fourth-order iterative method for quadratic equations. Zbl 1094.65050Amat, Sergio; Busquier, Sonia; Gutiérrez, José M. 10 2006 Reducing chaos and bifurcations in Newton-type methods. Zbl 07095287Amat, S.; Busquier, S.; Magreñán, Á. A. 9 2013 On a family of high-order iterative methods under Kantorovich conditions and some applications. Zbl 1273.47105Amat, S.; Bermúdez, C.; Busquier, S.; Legaz, M. J.; Plaza, S. 9 2012 Geometry and convergence of some third-order methods. Zbl 0992.65047Amat, Sergio; Busquier, Sonia 9 2001 On a nonlinear subdivision scheme avoiding Gibbs oscillations and converging towards \(C^{s}\) functions with \(s>1\). Zbl 1217.41002Amat, S.; Dadourian, K.; Liandrat, J. 8 2011 A variational approach to implicit ODEs and differential inclusions. Zbl 1172.34002Amat, Sergio; Pedregal, Pablo 8 2009 \(l^\infty \)-stability for linear multiresolution algorithms: A new explicit approach. I: The basic rules and the Daubechies case. Zbl 1163.65103Amat, Sergio; Moncayo, María 8 2008 On the global convergence of Chebyshev’s iterative method. Zbl 1149.65035Amat, S.; Busquier, S.; Gutiérrez, J. M.; Hernández, M. A. 8 2008 On the dynamics of the Euler iterative function. Zbl 1137.65027Amat, S.; Bermúdez, C.; Busquier, S.; Plaza, S. 8 2008 On multiresolution schemes using a stencil selection procedure: applications to ENO schemes. Zbl 1135.65308Amat, Sergio; Busquier, Sonia; Trillo, J. Carlos 7 2007 A polynomial approach to the piecewise hyperbolic method. Zbl 1043.76528Amat, Sergio; Busquier, Sonia; Candela, Vicente 7 2003 Improving the applicability of the secant method to solve nonlinear systems of equations. Zbl 1338.65136Amat, S.; Hernández-Verón, M. A.; Rubio, M. J. 6 2014 On the dynamics of a family of third-order iterative functions. Zbl 1130.37043Amat, Sergio; Busquier, Sonia; Plaza, Sergio 6 2007 Nonlinear Harten’s multiresolution on the quincunx pyramid. Zbl 1087.94004Amat, Sergio; Busquier, S.; Trillo, J. C. 6 2006 Approximation of inverse operators by a new family of high-order iterative methods. Zbl 1340.65105Amat, Sergio; Ezquerro, José Antonio; Hernández Verón, Miguel A. 5 2014 Third-order methods on Riemannian manifolds under Kantorovich conditions. Zbl 1291.65165Amat, S.; Busquier, S.; Castro, R.; Plaza, S. 5 2014 Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators. Zbl 1291.65053Amat, S.; Donat, R.; Trillo, J. C. 5 2013 A family of stable nonlinear nonseparable multiresolution schemes in 2D. Zbl 1186.94006Amat, S.; Dadourian, K.; Liandrat, J.; Ruiz, Juan; Trillo, J. C. 5 2010 On a class of \(L^{1}\)-stable nonlinear cell-average multiresolution schemes. Zbl 1189.65318Amat, S.; Dadourian, K.; Liandrat, J.; Ruiz, Juan; Trillo, J. C. 5 2010 \(l^\infty \)-stability for linear multiresolution algorithms: A new explicit approach. II: The cases of symlets, Coiflets, biorthogonal wavelets and supercompact multiwavelets. Zbl 1164.65040Amat, Sergio; Moncayo, María 5 2008 Denoising using linear and nonlinear multiresolutions. Zbl 1191.94011Amat, Sergio; Cherif, Hedi; Trillo, J. Carlos 5 2005 On two high-order families of frozen Newton-type methods. Zbl 1424.65072Amat, S.; Argyros, I.; Busquier, S.; Hernández-Verón, M. A. 4 2018 Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions. Zbl 1359.65084Amat, S.; Argyros, Ioannis K.; Busquier, S.; Magreñán, Á. Alberto 4 2017 On an efficient \(k\)-step iterative method for nonlinear equations. Zbl 1382.65136Amat, S.; Bermúdez, C.; Hernández-Verón, M. A.; Martínez, Eulalia 4 2016 A Steffensen type method of two steps in Banach spaces with applications. Zbl 1325.65077Amat, S.; Busquier, S.; Ezquerro, J. A.; Hernández-Verón, M. A. 4 2016 Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. Zbl 1364.65113Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. 4 2014 On a bilinear operator free third order method on Riemannian manifolds. Zbl 1296.65079Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. 4 2013 On a compact non-extrapolating scheme for adaptive image interpolation. Zbl 1260.94004Amat, S.; Liandrat, J.; Ruiz, Juan; Trillo, J. C. 4 2012 Exact error bounds for the reconstruction processes using interpolating wavelets. Zbl 1184.65126Amat, S.; Moncayo, M. 4 2009 Lagrange interpolation for continuous piecewise smooth functions. Zbl 1156.41002Amat, Sergio; Busquier, Sonia; Escudero, Antonio; Trillo, J. Carlos 4 2008 Convergence by nondiscrete mathematical induction of a two step secant’s method. Zbl 1140.65040Amat, S.; Bermúdez, C.; Busquier, S.; Gretay, J. 4 2007 Third order iterative methods without using second Fréchet derivative. Zbl 1054.65056Amat, Sergio; Busquier, Sonia; Candela, Vicente 4 2004 Third-order iterative methods without using any Fréchet derivative. Zbl 1037.65058Amat, Sergio; Busquier, Sonia; Candela, Vicente 4 2003 After notes on Chebyshev’s iterative method. Zbl 1378.65114Amat, S.; Busquier, S. 3 2017 New WENO smoothness indicators computationally efficient in the presence of corner discontinuities. Zbl 1370.65008Amat, Sergio; Ruiz, Juan 3 2017 On a nonlinear mean and its application to image compression using multiresolution schemes. Zbl 1339.41001Amat, Sergio; Liandrat, J.; Ruiz, Juan; Trillo, J. C. 3 2016 Traub-type high order iterative procedures on Riemannian manifolds. Zbl 1317.47061Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. 3 2014 Improving the compression rate versus \(L^{1}\) error ratio in cell-average error control algorithms. Zbl 1298.41009Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos 3 2014 High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes. Zbl 1288.65012Amat, S.; Dadourian, K.; Liandrat, J.; Trillo, J. C. 3 2013 On a variational approach for the analysis and numerical simulation of ODEs. Zbl 1264.65101Amat, Sergio; Pedregal, Pablo 3 2013 On a nonlinear cell-average multiresolution scheme for image compression. Zbl 1260.94005Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan Carlos 3 2012 Superattracting cycles for some Newton type iterative methods. Zbl 1218.37123Amat, Sergio; Busquier, Sonia; Navarro, Emilie; Plaza, Sergio 3 2011 Fast multiresolution algorithms and their related variational problems for image denoising. Zbl 1203.65036Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos 3 2010 On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation. Zbl 1188.65012Amat, Sergio; Donat, Rosa; Trillo, J. Carlos 3 2009 \(l^\infty \)-stability for linear multiresolution algorithms: A new explicit approach. III: The 2-D case. Zbl 1174.65060Amat, Sergio; Moncayo, María 3 2008 At Steffensen’s type method with modified functions. Zbl 1143.65038Amat, S.; Blanda, J.; Busquier, S. 3 2007 On the convergence of various subdivision schemes using a perturbation theorem. Zbl 1130.65037Amat, S.; Dadourian, K.; Liandrat, J. 3 2007 An efficient optimal family of sixteenth order methods for nonlinear models. Zbl 1434.65078Behl, Ramandeep; Amat, S.; Magreñán, Á. A.; Motsa, S. S. 2 2019 On the local convergence study for an efficient k-step iterative method. Zbl 06892299Amat, S.; Argyros, I. K.; Busquier, S.; Hernández-Verón, M. A.; Martínez, E. 2 2018 On a Steffensen-like method for solving nonlinear equations. Zbl 1348.65090Amat, Sergio; Ezquerro, J. A.; Hernández-Verón, M. A. 2 2016 On a family of high-order iterative methods under gamma conditions with applications in denoising. Zbl 1308.65081Amat, S.; Hernández, M. A.; Romero, N. 2 2014 An optimization approach for the numerical approximation of differential equations. Zbl 1287.49034Amat, Sergio; López, David J.; Pedregal, Pablo 2 2014 On a nonlinear 4-point quaternary approximating subdivision scheme eliminating the Gibbs phenomenon. Zbl 1273.65023Amat, S.; Liandrat, J. 2 2013 Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems. Zbl 1262.65078Amat, Sergio; Busquier, Sonia; Legaz, María José; Manzano, Fernando; Ruiz, Juan 2 2012 Non-uniform multiresolution analysis with supercompact multiwavelets. Zbl 1231.65263Amat, Sergio; Moncayo, María 2 2010 On the dynamics of some Newton’s type iterative functions. Zbl 1165.65341Amat, S.; Bermúdez, C.; Busquier, S.; Leauthier, P.; Plaza, S. 2 2009 High order iterative schemes for quadratic equations. Zbl 1155.65039Alarcón, Virginia; Amat, Sergio; Busquier, Sonia; Manzano, Fernando 2 2008 Error bounds for a convexity-preserving interpolation and its limit function. Zbl 1130.41002Amat, S.; Dadourian, K.; Donat, R.; Liandrat, J.; Trillo, J. C. 2 2008 Stable interpolatory multiresolution in 3D. Zbl 1086.94002Amat, Sergio; Busquier, Sonia; Trillo, J. C. 2 2005 Compression of locally oscillatory signal with discontinuities. Zbl 1221.42050Amat, Sergio; Busquier, Sonia; El kebir, Dhafer; Molina, José 2 2002 On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon. Zbl 1415.65038Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos; Yáñez, Dionisio F. 1 2019 On a nonlinear 4-point ternary and non-interpolatory subdivision scheme eliminating the Gibbs phenomenon. Zbl 1426.41002Amat, S.; Choutri, A.; Ruiz, J.; Zouaoui, S. 1 2018 On an new algorithm for function approximation with full accuracy in the presence of discontinuities based on the immersed interface method. Zbl 1391.65031Amat, Sergio; Li, Zhilin; Ruiz, Juan 1 2018 Analysis of the Gibbs phenomenon in stationary subdivision schemes. Zbl 1376.41003Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos; Yáñez, Dionisio F. 1 2018 On a power WENO scheme with improved accuracy near discontinuities. Zbl 1377.65099Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan C. 1 2017 An efficient optimal family of sixteenth order methods for nonlinear models. Zbl 1434.65078Behl, Ramandeep; Amat, S.; Magreñán, Á. A.; Motsa, S. S. 2 2019 On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon. Zbl 1415.65038Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos; Yáñez, Dionisio F. 1 2019 On two high-order families of frozen Newton-type methods. Zbl 1424.65072Amat, S.; Argyros, I.; Busquier, S.; Hernández-Verón, M. A. 4 2018 On the local convergence study for an efficient k-step iterative method. Zbl 06892299Amat, S.; Argyros, I. K.; Busquier, S.; Hernández-Verón, M. A.; Martínez, E. 2 2018 On a nonlinear 4-point ternary and non-interpolatory subdivision scheme eliminating the Gibbs phenomenon. Zbl 1426.41002Amat, S.; Choutri, A.; Ruiz, J.; Zouaoui, S. 1 2018 On an new algorithm for function approximation with full accuracy in the presence of discontinuities based on the immersed interface method. Zbl 1391.65031Amat, Sergio; Li, Zhilin; Ruiz, Juan 1 2018 Analysis of the Gibbs phenomenon in stationary subdivision schemes. Zbl 1376.41003Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos; Yáñez, Dionisio F. 1 2018 Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions. Zbl 1359.65084Amat, S.; Argyros, Ioannis K.; Busquier, S.; Magreñán, Á. Alberto 4 2017 After notes on Chebyshev’s iterative method. Zbl 1378.65114Amat, S.; Busquier, S. 3 2017 New WENO smoothness indicators computationally efficient in the presence of corner discontinuities. Zbl 1370.65008Amat, Sergio; Ruiz, Juan 3 2017 On a power WENO scheme with improved accuracy near discontinuities. Zbl 1377.65099Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan C. 1 2017 Wavelets for the Maxwell’s equations: an overview. Zbl 1367.65198Amat, 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 1359.65077Amat, Sergio; Busquier, Sonia; Grau-Sánchez, Miquel; Hernández-Verón, Miguel A. 1 2017 On a Moser-Steffensen type method for nonlinear systems of equations. Zbl 1355.65069Amat, S.; Grau-Sanchez, M.; Hernández-Verón, M. A.; Rubio, M. J. 23 2016 On the election of the damped parameter of a two-step relaxed Newton-type method. Zbl 1354.65157Amat, Sergio; Busquier, Sonia; Bermúdez, Concepción; Magreñán, Á. Alberto 11 2016 Advances in iterative methods for nonlinear equations. Zbl 1356.65002Amat, Sergio (ed.); Busquier, Sonia (ed.) 11 2016 On an efficient \(k\)-step iterative method for nonlinear equations. Zbl 1382.65136Amat, S.; Bermúdez, C.; Hernández-Verón, M. A.; Martínez, Eulalia 4 2016 A Steffensen type method of two steps in Banach spaces with applications. Zbl 1325.65077Amat, S.; Busquier, S.; Ezquerro, J. A.; Hernández-Verón, M. A. 4 2016 On a nonlinear mean and its application to image compression using multiresolution schemes. Zbl 1339.41001Amat, Sergio; Liandrat, J.; Ruiz, Juan; Trillo, J. C. 3 2016 On a Steffensen-like method for solving nonlinear equations. Zbl 1348.65090Amat, Sergio; Ezquerro, J. A.; Hernández-Verón, M. A. 2 2016 An overview on Steffensen-type methods. Zbl 1353.65048Amat, 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 07042277Amat, Sergio; Busquier, Sonia; Bermúdez, Concepción; Magreñán, Ángel Alberto 1 2015 On a new family of high-order iterative methods for the matrix \(p\)th root. Zbl 1349.65153Amat, S.; Ezquerro, J. A.; Hernández-Verón, M. A. 1 2015 Iterative methods for computing the matrix square root. Zbl 1331.65068Amat, S.; Ezquerro, J. A.; Hernández-Verón, M. A. 1 2015 Improving the applicability of the secant method to solve nonlinear systems of equations. Zbl 1338.65136Amat, S.; Hernández-Verón, M. A.; Rubio, M. J. 6 2014 Approximation of inverse operators by a new family of high-order iterative methods. Zbl 1340.65105Amat, Sergio; Ezquerro, José Antonio; Hernández Verón, Miguel A. 5 2014 Third-order methods on Riemannian manifolds under Kantorovich conditions. Zbl 1291.65165Amat, S.; Busquier, S.; Castro, R.; Plaza, S. 5 2014 Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. Zbl 1364.65113Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. 4 2014 Traub-type high order iterative procedures on Riemannian manifolds. Zbl 1317.47061Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. 3 2014 Improving the compression rate versus \(L^{1}\) error ratio in cell-average error control algorithms. Zbl 1298.41009Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos 3 2014 On a family of high-order iterative methods under gamma conditions with applications in denoising. Zbl 1308.65081Amat, S.; Hernández, M. A.; Romero, N. 2 2014 An optimization approach for the numerical approximation of differential equations. Zbl 1287.49034Amat, Sergio; López, David J.; Pedregal, Pablo 2 2014 Expanding the applicability of high-order Traub-type iterative procedures. Zbl 1308.65082Amat, Sergio; Argyros, Ioannis K.; Busquier, Sonia; Hilout, Saïd 1 2014 On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods. Zbl 1308.65074Grau-Sánchez, Miquel; Noguera, Miquel; Amat, Sergio 32 2013 Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications. Zbl 1288.65069Amat, Sergio; Busquier, Sonia; Grau, Àngela; Grau-Sánchez, Miquel 15 2013 On a two-step relaxed Newton-type method. Zbl 1304.65149Amat, S.; Magreñán, Á. A.; Romero, N. 14 2013 Reducing chaos and bifurcations in Newton-type methods. Zbl 07095287Amat, S.; Busquier, S.; Magreñán, Á. A. 9 2013 Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators. Zbl 1291.65053Amat, S.; Donat, R.; Trillo, J. C. 5 2013 On a bilinear operator free third order method on Riemannian manifolds. Zbl 1296.65079Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. 4 2013 High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes. Zbl 1288.65012Amat, S.; Dadourian, K.; Liandrat, J.; Trillo, J. C. 3 2013 On a variational approach for the analysis and numerical simulation of ODEs. Zbl 1264.65101Amat, Sergio; Pedregal, Pablo 3 2013 On a nonlinear 4-point quaternary approximating subdivision scheme eliminating the Gibbs phenomenon. Zbl 1273.65023Amat, S.; Liandrat, J. 2 2013 On two families of high order Newton type methods. Zbl 1252.65090Amat, S.; Busquier, S.; Bermúdez, C.; Plaza, S. 20 2012 Semilocal convergence of a sixth order iterative method for quadratic equations. Zbl 1387.65049Amat, S.; Hernández, M. A.; Romero, N. 16 2012 On a family of high-order iterative methods under Kantorovich conditions and some applications. Zbl 1273.47105Amat, S.; Bermúdez, C.; Busquier, S.; Legaz, M. J.; Plaza, S. 9 2012 On a compact non-extrapolating scheme for adaptive image interpolation. Zbl 1260.94004Amat, S.; Liandrat, J.; Ruiz, Juan; Trillo, J. C. 4 2012 On a nonlinear cell-average multiresolution scheme for image compression. Zbl 1260.94005Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan Carlos 3 2012 Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems. Zbl 1262.65078Amat, Sergio; Busquier, Sonia; Legaz, María José; Manzano, Fernando; Ruiz, Juan 2 2012 On a Newton-type method for differential-algebraic equations. Zbl 1268.65105Amat, S.; Légaz, M. J.; Pedregal, P. 1 2012 Third-order iterative methods with applications to Hammerstein equations: a unified approach. Zbl 1216.65064Amat, S.; Busquier, S.; Gutiérrez, J. M. 22 2011 Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms. Zbl 1252.65027Amat, S.; Dadourian, K.; Liandrat, J. 21 2011 On a nonlinear subdivision scheme avoiding Gibbs oscillations and converging towards \(C^{s}\) functions with \(s>1\). Zbl 1217.41002Amat, S.; Dadourian, K.; Liandrat, J. 8 2011 Superattracting cycles for some Newton type iterative methods. Zbl 1218.37123Amat, Sergio; Busquier, Sonia; Navarro, Emilie; Plaza, Sergio 3 2011 Error bounds for a class of subdivision schemes based on the two-scale refinement equation. Zbl 1230.65024Moncayo, María; Amat, Sergio 1 2011 Chaotic dynamics of a third-order Newton-type method. Zbl 1187.65050Amat, S.; Busquier, S.; Plaza, S. 59 2010 On a third-order Newton-type method free of bilinear operators. Zbl 1240.49046Amat, S.; Bermúdez, C.; Busquier, S.; Plaza, S. 16 2010 A family of stable nonlinear nonseparable multiresolution schemes in 2D. Zbl 1186.94006Amat, S.; Dadourian, K.; Liandrat, J.; Ruiz, Juan; Trillo, J. C. 5 2010 On a class of \(L^{1}\)-stable nonlinear cell-average multiresolution schemes. Zbl 1189.65318Amat, S.; Dadourian, K.; Liandrat, J.; Ruiz, Juan; Trillo, J. C. 5 2010 Fast multiresolution algorithms and their related variational problems for image denoising. Zbl 1203.65036Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos 3 2010 Non-uniform multiresolution analysis with supercompact multiwavelets. Zbl 1231.65263Amat, Sergio; Moncayo, María 2 2010 A family of Halley-Chebyshev iterative schemes for non-Fréchet differentiable operators. Zbl 1173.65036Amat, Sergio; Bermúdez, Concepción; Busquier, Sonia; Mestiri, Driss 10 2009 A variational approach to implicit ODEs and differential inclusions. Zbl 1172.34002Amat, Sergio; Pedregal, Pablo 8 2009 Exact error bounds for the reconstruction processes using interpolating wavelets. Zbl 1184.65126Amat, S.; Moncayo, M. 4 2009 On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation. Zbl 1188.65012Amat, Sergio; Donat, Rosa; Trillo, J. Carlos 3 2009 On the dynamics of some Newton’s type iterative functions. Zbl 1165.65341Amat, S.; Bermúdez, C.; Busquier, S.; Leauthier, P.; Plaza, S. 2 2009 Denoising using linear and nonlinear multiresolutions. II: Cell-average framework and color images. Zbl 1257.94008Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos 1 2009 A modified Chebyshev’s iterative method with at least sixth order of convergence. Zbl 1157.65369Amat, S.; Hernández, M. A.; Romero, N. 64 2008 A Steffensen’s type method in Banach spaces with applications on boundary-value problems. Zbl 1139.65040Alarcón, Virginia; Amat, Sergio; Busquier, Sonia; López, David J. 19 2008 \(l^\infty \)-stability for linear multiresolution algorithms: A new explicit approach. I: The basic rules and the Daubechies case. Zbl 1163.65103Amat, Sergio; Moncayo, María 8 2008 On the global convergence of Chebyshev’s iterative method. Zbl 1149.65035Amat, S.; Busquier, S.; Gutiérrez, J. M.; Hernández, M. A. 8 2008 On the dynamics of the Euler iterative function. Zbl 1137.65027Amat, S.; Bermúdez, C.; Busquier, S.; Plaza, S. 8 2008 \(l^\infty \)-stability for linear multiresolution algorithms: A new explicit approach. II: The cases of symlets, Coiflets, biorthogonal wavelets and supercompact multiwavelets. Zbl 1164.65040Amat, Sergio; Moncayo, María 5 2008 Lagrange interpolation for continuous piecewise smooth functions. Zbl 1156.41002Amat, Sergio; Busquier, Sonia; Escudero, Antonio; Trillo, J. Carlos 4 2008 \(l^\infty \)-stability for linear multiresolution algorithms: A new explicit approach. III: The 2-D case. Zbl 1174.65060Amat, Sergio; Moncayo, María 3 2008 High order iterative schemes for quadratic equations. Zbl 1155.65039Alarcón, Virginia; Amat, Sergio; Busquier, Sonia; Manzano, Fernando 2 2008 Error bounds for a convexity-preserving interpolation and its limit function. Zbl 1130.41002Amat, S.; Dadourian, K.; Donat, R.; Liandrat, J.; Trillo, J. C. 2 2008 Third-order iterative methods under Kantorovich conditions. Zbl 1128.65036Amat, S.; Busquier, S. 44 2007 A fully adaptive multiresolution scheme for image processing. Zbl 1134.68063Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos 11 2007 On multiresolution schemes using a stencil selection procedure: applications to ENO schemes. Zbl 1135.65308Amat, Sergio; Busquier, Sonia; Trillo, J. Carlos 7 2007 On the dynamics of a family of third-order iterative functions. Zbl 1130.37043Amat, Sergio; Busquier, Sonia; Plaza, Sergio 6 2007 Convergence by nondiscrete mathematical induction of a two step secant’s method. Zbl 1140.65040Amat, S.; Bermúdez, C.; Busquier, S.; Gretay, J. 4 2007 At Steffensen’s type method with modified functions. Zbl 1143.65038Amat, S.; Blanda, J.; Busquier, S. 3 2007 On the convergence of various subdivision schemes using a perturbation theorem. Zbl 1130.65037Amat, S.; Dadourian, K.; Liandrat, J. 3 2007 Super-attracting periodic orbits for a classical third order method. Zbl 1115.65052Amat, S.; Bermúdez, C.; Busquier, S.; Carrasco, J.; Plaza, S. 1 2007 Analysis of a new nonlinear subdivision scheme. Applications in image processing. Zbl 1106.41001Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos 36 2006 A two-step Steffensen’s method under modified convergence conditions. Zbl 1103.65060Amat, S.; Busquier, S. 30 2006 A construction of attracting periodic orbits for some classical third-order iterative methods. Zbl 1113.65047Amat, S.; Busquier, Sonia; Plaza, S. 26 2006 On a Steffensen’s type method and its behavior for semismooth equations. Zbl 1096.65047Amat, Sergio; Busquier, Sonia 22 2006 An adaptive version of a fourth-order iterative method for quadratic equations. Zbl 1094.65050Amat, Sergio; Busquier, Sonia; Gutiérrez, José M. 10 2006 Nonlinear Harten’s multiresolution on the quincunx pyramid. Zbl 1087.94004Amat, Sergio; Busquier, S.; Trillo, J. C. 6 2006 Point values Hermite multiresolution for nonsmooth noisy signals. Zbl 1092.65019Ali, I.; Amat, S.; Trillo, J. C. 1 2006 Dynamics of the King and Jarratt iterations. Zbl 1068.30019Amat, Sergio; Busquier, Sonia; Plaza, Sergio 93 2005 On the stability of the PPH nonlinear multiresolution. Zbl 1077.65138Amat, Sergio; Liandrat, Jacques 32 2005 Convergence and numerical analysis of a family of two-step Steffensen’s methods. Zbl 1075.65080Amat, S.; Busquier, S. 27 2005 Denoising using linear and nonlinear multiresolutions. Zbl 1191.94011Amat, Sergio; Cherif, Hedi; Trillo, J. Carlos 5 2005 Stable interpolatory multiresolution in 3D. Zbl 1086.94002Amat, Sergio; Busquier, Sonia; Trillo, J. C. 2 2005 Review of some iterative root-finding methods from a dynamical point of view. Zbl 1137.37316Amat, Sergio; Busquier, Sonia; Plaza, Sergio 95 2004 Dynamics of a family of third-order iterative methods that do not require using second derivatives. Zbl 1057.65023Amat, Sergio; Busquier, Sonia; Plaza, Sergio 38 2004 Adaptive approximation of nonlinear operators. Zbl 1071.65077Amat, Sergio; Busquier, Sonia; Negra, Mehdi 35 2004 On the local convergence of secant-type methods. Zbl 1068.65068Amat, S.; Busquier, S.; Gutiérrez, J. M. 16 2004 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 515 Authors 178 Argyros, Ioannis Konstantinos 95 Amat, Sergio 63 Magreñán, Ángel Alberto 60 Torregrosa Sanchez, Juan Ramón 59 Cordero, Alicia 47 Busquier, Sonia 44 George, Santhosh 31 Hernández-Verón, Miguel Ángel 30 Behl, Ramandeep 27 Kou, Jisheng 25 Ezquerro, José Antonio 25 Martínez, Eulalia 24 Chun, Changbum 24 Neta, Beny 23 Hilout, Saïd 23 Sharma, Janak Raj 22 Trillo, Juan Carlos 21 Gutiérrez, José Manuel 20 Grau-Sánchez, Miquel 20 Romero, Natalia 19 Liandrat, Jacques 18 Hernández, Miguel Ángel 18 Plaza, Sergio 17 Hueso, José Luis 16 Wang, Xiuhua 15 Kanwar, Vinay 14 Li, Yitian 12 Bermúdez, Concepción 11 Aràndiga, Francesc 11 Donat, Rosa 11 González, Daniel 11 Kim, Young Ik 11 Ren, Hongmin 11 Vindel, Pura 11 Yáñez, Dionisio F. 10 Noguera, Miquel 10 Sicilia, Juan Antonio 10 Wu, Qingbiao 9 Gupta, Dharmendra Kumar 9 Kansal, Munish 9 Khattri, Sanjay K. 8 Geum, Young Hee 8 Motsa, Sandle S. 8 Salimi, Mehdi 8 Singh, Sukhjit 7 Dadourian, Karine 7 Jaiswal, Jai Prakash 7 Lotfi, Taher 7 Rubio, María Jesús 7 Sharifi, Somayeh 7 Soleymani, Fazlollah 6 Alshomrani, Ali Saleh 6 Amat, Sergio P. 6 Anastassiou, George Angelos 6 Campos, Beatriz 6 Chicharro, Francisco I. 6 Moncayo, María 6 Motsa, Sandile Sydney 6 Pedregal, Pablo 6 Petković, Miodrag S. 6 Ruiz, Juan F. 6 Ruiz, Juan P. 6 Scott, Melvin R. 6 Zheng, Quan 5 Arora, Himani 5 Bhatia, Saurabh 5 Kumar, Deepak 5 Legaz, María José 5 Madhu, Kalyanasundaram 5 Matei, Basarab 5 Orcos, Lara 5 Ruiz, Juan Carlos 5 Teruel, Carles 5 Zhao, Yueqing 4 Babajee, Diyashvir Kreetee Rajiv 4 Baccou, Jean 4 Cătinaş, Emil 4 Díaz-Barrero, José Luis 4 Džunić, Jovana 4 Gu, Chuanqing 4 Guha, Rangan Kumar 4 Hernández Paricio, Luis Javier 4 Jayaraman, Jayakumar 4 Maroju, Prashanth 4 Mustafa, Ghulam 4 Noor, Muhammad Aslam 4 Parhi, Sanjaya Kumar 4 Păvăloiu, Ion 4 Sharma, Debasis 4 Wang, Xiaofeng 4 Xiao, Xiaoyong 4 Zhao, Peng 3 Abgrall, Rémi 3 Ahmad, Faizan 3 Ahmad, Fayyaz 3 Bi, Weihong 3 Candela, Vicente F. 3 Chen, Jinhai 3 Cohen, Albert 3 Congedo, Pietro Marco ...and 415 more Authors all top 5 Cited in 134 Serials 172 Applied Mathematics and Computation 88 Journal of Computational and Applied Mathematics 70 Numerical Algorithms 41 S\(\vec{\text{e}}\)MA Journal 19 Journal of Mathematical Chemistry 16 International Journal of Computer Mathematics 12 Applicationes Mathematicae 12 Algorithms 11 Journal of Mathematical Analysis and Applications 11 International Journal of Applied and Computational Mathematics 10 Journal of Complexity 9 International Journal of Engineering Science 9 Applied Numerical Mathematics 7 Computers & Mathematics with Applications 7 Applied Mathematics Letters 7 Computational and Applied Mathematics 7 Abstract and Applied Analysis 7 Asian-European Journal of Mathematics 6 Applied and Computational Harmonic Analysis 6 Journal of Applied Mathematics and Computing 5 Calcolo 5 Numerical Functional Analysis and Optimization 5 Journal of Scientific Computing 5 Applied Mathematical Modelling 5 Advances in Computational Mathematics 4 Journal of the Franklin Institute 4 Mathematics and Computers in Simulation 4 Numerische Mathematik 4 Journal of Applied Mathematics 4 International Journal of Computational Methods 4 Mediterranean Journal of Mathematics 4 Mathematics 3 Journal of Computational Physics 3 Journal of Optimization Theory and Applications 3 Journal of Global Optimization 3 Numerical Linear Algebra with Applications 3 Nonlinear Dynamics 3 Discrete Dynamics in Nature and Society 3 Symmetry 3 AMM. 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Series B 1 Optimization 1 COMPEL 1 Japan Journal of Industrial and Applied Mathematics 1 Mathematical Programming. Series A. Series B 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences 1 Mathematical Problems in Engineering 1 Vietnam Journal of Mathematics 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Chaos 1 Revista Matemática Complutense 1 Journal of Mathematical Fluid Mechanics 1 LMS Journal of Computation and Mathematics 1 Qualitative Theory of Dynamical Systems ...and 34 more Serials all top 5 Cited in 35 Fields 665 Numerical analysis (65-XX) 170 Operator theory (47-XX) 45 Approximations and expansions (41-XX) 37 Dynamical systems and ergodic theory (37-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 27 Integral equations (45-XX) 24 Ordinary differential equations (34-XX) 23 Partial differential equations (35-XX) 23 Mechanics of deformable solids (74-XX) 21 Information and communication theory, circuits (94-XX) 18 Functions of a complex variable (30-XX) 18 Operations research, mathematical programming (90-XX) 16 Computer science (68-XX) 14 Difference and functional equations (39-XX) 11 Real functions (26-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 7 Fluid mechanics (76-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Statistics (62-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Biology and other natural sciences (92-XX) 3 Special functions (33-XX) 3 Probability theory and stochastic processes (60-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year