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Amat, Sergio

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Author ID: amat.sergio Recent zbMATH articles by "Amat, Sergio"
Published as: Amat, S.; Amat, Sergio
Documents Indexed: 145 Publications since 1998, including 1 Book
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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

Publications by Year

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 1024.65040
Amat, S.; Busquier, S.; Gutiérrez, J. M.
156
2003
Review of some iterative root-finding methods from a dynamical point of view. Zbl 1137.37316
Amat, Sergio; Busquier, Sonia; Plaza, Sergio
95
2004
Dynamics of the King and Jarratt iterations. Zbl 1068.30019
Amat, Sergio; Busquier, Sonia; Plaza, Sergio
93
2005
A modified Chebyshev’s iterative method with at least sixth order of convergence. Zbl 1157.65369
Amat, S.; Hernández, M. A.; Romero, N.
64
2008
Chaotic dynamics of a third-order Newton-type method. Zbl 1187.65050
Amat, S.; Busquier, S.; Plaza, S.
59
2010
Third-order iterative methods under Kantorovich conditions. Zbl 1128.65036
Amat, S.; Busquier, S.
44
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
38
2004
Analysis of a new nonlinear subdivision scheme. Applications in image processing. Zbl 1106.41001
Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos
36
2006
Adaptive approximation of nonlinear operators. Zbl 1071.65077
Amat, 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 1308.65074
Grau-Sánchez, Miquel; Noguera, Miquel; Amat, Sergio
32
2013
On the stability of the PPH nonlinear multiresolution. Zbl 1077.65138
Amat, Sergio; Liandrat, Jacques
32
2005
Tensor product multiresolution analysis with error control for compact image representation. Zbl 0994.94001
Amat, Sergio; Aràndiga, Francesc; Cohen, Albert; Donat, Rosa
32
2002
A two-step Steffensen’s method under modified convergence conditions. Zbl 1103.65060
Amat, S.; Busquier, S.
30
2006
A class of quasi-Newton generalized Steffensen methods on Banach spaces. Zbl 1016.65035
Amat, Sergio; Busquier, Sonia; Candela, Vicente
28
2002
Convergence and numerical analysis of a family of two-step Steffensen’s methods. Zbl 1075.65080
Amat, S.; Busquier, S.
27
2005
A construction of attracting periodic orbits for some classical third-order iterative methods. Zbl 1113.65047
Amat, S.; Busquier, Sonia; Plaza, S.
26
2006
On a higher order secant method. Zbl 1035.65057
Amat, Sergio; Busquier, Sonia
25
2003
On a Moser-Steffensen type method for nonlinear systems of equations. Zbl 1355.65069
Amat, 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 1216.65064
Amat, S.; Busquier, S.; Gutiérrez, J. M.
22
2011
On a Steffensen’s type method and its behavior for semismooth equations. Zbl 1096.65047
Amat, Sergio; Busquier, Sonia
22
2006
Data compression with ENO schemes: A case study. Zbl 0985.65011
Amat, 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 1252.65027
Amat, S.; Dadourian, K.; Liandrat, J.
21
2011
On two families of high order Newton type methods. Zbl 1252.65090
Amat, S.; Busquier, S.; Bermúdez, C.; Plaza, S.
20
2012
A Steffensen’s type method in Banach spaces with applications on boundary-value problems. Zbl 1139.65040
Alarcón, Virginia; Amat, Sergio; Busquier, Sonia; López, David J.
19
2008
Semilocal convergence of a sixth order iterative method for quadratic equations. Zbl 1387.65049
Amat, S.; Hernández, M. A.; Romero, N.
16
2012
On a third-order Newton-type method free of bilinear operators. Zbl 1240.49046
Amat, S.; Bermúdez, C.; Busquier, S.; Plaza, S.
16
2010
On the local convergence of secant-type methods. Zbl 1068.65068
Amat, S.; Busquier, S.; Gutiérrez, J. M.
16
2004
Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications. Zbl 1288.65069
Amat, Sergio; Busquier, Sonia; Grau, Àngela; Grau-Sánchez, Miquel
15
2013
On a two-step relaxed Newton-type method. Zbl 1304.65149
Amat, S.; Magreñán, Á. A.; Romero, N.
14
2013
A fast Chebyshev’s method for quadratic equations. Zbl 1038.65045
Amat, Sergio; Busquier, Sonia; El kebir, Dhafer; Molina, José
13
2004
A modified secant method for semismooth equations. Zbl 1059.65042
Amat, S.; Busquier, S.
13
2003
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
11
2016
Advances in iterative methods for nonlinear equations. Zbl 1356.65002
Amat, Sergio (ed.); Busquier, Sonia (ed.)
11
2016
A fully adaptive multiresolution scheme for image processing. Zbl 1134.68063
Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos
11
2007
A family of Halley-Chebyshev iterative schemes for non-Fréchet differentiable operators. Zbl 1173.65036
Amat, Sergio; Bermúdez, Concepción; Busquier, Sonia; Mestiri, Driss
10
2009
An adaptive version of a fourth-order iterative method for quadratic equations. Zbl 1094.65050
Amat, Sergio; Busquier, Sonia; Gutiérrez, José M.
10
2006
Reducing chaos and bifurcations in Newton-type methods. Zbl 07095287
Amat, S.; Busquier, S.; Magreñán, Á. A.
9
2013
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
Geometry and convergence of some third-order methods. Zbl 0992.65047
Amat, Sergio; Busquier, Sonia
9
2001
On a nonlinear subdivision scheme avoiding Gibbs oscillations and converging towards \(C^{s}\) functions with \(s>1\). Zbl 1217.41002
Amat, S.; Dadourian, K.; Liandrat, J.
8
2011
A variational approach to implicit ODEs and differential inclusions. Zbl 1172.34002
Amat, 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 1163.65103
Amat, Sergio; Moncayo, María
8
2008
On the global convergence of Chebyshev’s iterative method. Zbl 1149.65035
Amat, S.; Busquier, S.; Gutiérrez, J. M.; Hernández, M. A.
8
2008
On the dynamics of the Euler iterative function. Zbl 1137.65027
Amat, S.; Bermúdez, C.; Busquier, S.; Plaza, S.
8
2008
On multiresolution schemes using a stencil selection procedure: applications to ENO schemes. Zbl 1135.65308
Amat, Sergio; Busquier, Sonia; Trillo, J. Carlos
7
2007
A polynomial approach to the piecewise hyperbolic method. Zbl 1043.76528
Amat, Sergio; Busquier, Sonia; Candela, Vicente
7
2003
Improving the applicability of the secant method to solve nonlinear systems of equations. Zbl 1338.65136
Amat, S.; Hernández-Verón, M. A.; Rubio, M. J.
6
2014
On the dynamics of a family of third-order iterative functions. Zbl 1130.37043
Amat, Sergio; Busquier, Sonia; Plaza, Sergio
6
2007
Nonlinear Harten’s multiresolution on the quincunx pyramid. Zbl 1087.94004
Amat, Sergio; Busquier, S.; Trillo, J. C.
6
2006
Approximation of inverse operators by a new family of high-order iterative methods. Zbl 1340.65105
Amat, Sergio; Ezquerro, José Antonio; Hernández Verón, Miguel A.
5
2014
Third-order methods on Riemannian manifolds under Kantorovich conditions. Zbl 1291.65165
Amat, S.; Busquier, S.; Castro, R.; Plaza, S.
5
2014
Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators. Zbl 1291.65053
Amat, S.; Donat, R.; Trillo, J. C.
5
2013
A family of stable nonlinear nonseparable multiresolution schemes in 2D. Zbl 1186.94006
Amat, 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 1189.65318
Amat, 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 1164.65040
Amat, Sergio; Moncayo, María
5
2008
Denoising using linear and nonlinear multiresolutions. Zbl 1191.94011
Amat, Sergio; Cherif, Hedi; Trillo, J. Carlos
5
2005
On two high-order families of frozen Newton-type methods. Zbl 1424.65072
Amat, 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 1359.65084
Amat, S.; Argyros, Ioannis K.; Busquier, S.; Magreñán, Á. Alberto
4
2017
On an efficient \(k\)-step iterative method for nonlinear equations. Zbl 1382.65136
Amat, S.; Bermúdez, C.; Hernández-Verón, M. A.; Martínez, Eulalia
4
2016
A Steffensen type method of two steps in Banach spaces with applications. Zbl 1325.65077
Amat, S.; Busquier, S.; Ezquerro, J. A.; Hernández-Verón, M. A.
4
2016
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
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.
4
2013
On a compact non-extrapolating scheme for adaptive image interpolation. Zbl 1260.94004
Amat, S.; Liandrat, J.; Ruiz, Juan; Trillo, J. C.
4
2012
Exact error bounds for the reconstruction processes using interpolating wavelets. Zbl 1184.65126
Amat, S.; Moncayo, M.
4
2009
Lagrange interpolation for continuous piecewise smooth functions. Zbl 1156.41002
Amat, Sergio; Busquier, Sonia; Escudero, Antonio; Trillo, J. Carlos
4
2008
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
Third-order iterative methods without using any Fréchet derivative. Zbl 1037.65058
Amat, Sergio; Busquier, Sonia; Candela, Vicente
4
2003
After notes on Chebyshev’s iterative method. Zbl 1378.65114
Amat, S.; Busquier, S.
3
2017
New WENO smoothness indicators computationally efficient in the presence of corner discontinuities. Zbl 1370.65008
Amat, Sergio; Ruiz, Juan
3
2017
On a nonlinear mean and its application to image compression using multiresolution schemes. Zbl 1339.41001
Amat, Sergio; Liandrat, J.; Ruiz, Juan; Trillo, J. C.
3
2016
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.
3
2014
Improving the compression rate versus \(L^{1}\) error ratio in cell-average error control algorithms. Zbl 1298.41009
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos
3
2014
High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes. Zbl 1288.65012
Amat, S.; Dadourian, K.; Liandrat, J.; Trillo, J. C.
3
2013
On a variational approach for the analysis and numerical simulation of ODEs. Zbl 1264.65101
Amat, Sergio; Pedregal, Pablo
3
2013
On a nonlinear cell-average multiresolution scheme for image compression. Zbl 1260.94005
Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan Carlos
3
2012
Superattracting cycles for some Newton type iterative methods. Zbl 1218.37123
Amat, Sergio; Busquier, Sonia; Navarro, Emilie; Plaza, Sergio
3
2011
Fast multiresolution algorithms and their related variational problems for image denoising. Zbl 1203.65036
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos
3
2010
On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation. Zbl 1188.65012
Amat, 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 1174.65060
Amat, Sergio; Moncayo, María
3
2008
At Steffensen’s type method with modified functions. Zbl 1143.65038
Amat, S.; Blanda, J.; Busquier, S.
3
2007
On the convergence of various subdivision schemes using a perturbation theorem. Zbl 1130.65037
Amat, S.; Dadourian, K.; Liandrat, J.
3
2007
An efficient optimal family of sixteenth order methods for nonlinear models. Zbl 1434.65078
Behl, Ramandeep; Amat, S.; Magreñán, Á. A.; Motsa, S. S.
2
2019
On the local convergence study for an efficient k-step iterative method. Zbl 06892299
Amat, S.; Argyros, I. K.; Busquier, S.; Hernández-Verón, M. A.; Martínez, E.
2
2018
On a Steffensen-like method for solving nonlinear equations. Zbl 1348.65090
Amat, 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 1308.65081
Amat, S.; Hernández, M. A.; Romero, N.
2
2014
An optimization approach for the numerical approximation of differential equations. Zbl 1287.49034
Amat, Sergio; López, David J.; Pedregal, Pablo
2
2014
On a nonlinear 4-point quaternary approximating subdivision scheme eliminating the Gibbs phenomenon. Zbl 1273.65023
Amat, S.; Liandrat, J.
2
2013
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
2
2012
Non-uniform multiresolution analysis with supercompact multiwavelets. Zbl 1231.65263
Amat, Sergio; Moncayo, María
2
2010
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
High order iterative schemes for quadratic equations. Zbl 1155.65039
Alarcón, Virginia; Amat, Sergio; Busquier, Sonia; Manzano, Fernando
2
2008
Error bounds for a convexity-preserving interpolation and its limit function. Zbl 1130.41002
Amat, S.; Dadourian, K.; Donat, R.; Liandrat, J.; Trillo, J. C.
2
2008
Stable interpolatory multiresolution in 3D. Zbl 1086.94002
Amat, Sergio; Busquier, Sonia; Trillo, J. C.
2
2005
Compression of locally oscillatory signal with discontinuities. Zbl 1221.42050
Amat, 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 1415.65038
Amat, 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 1426.41002
Amat, 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 1391.65031
Amat, Sergio; Li, Zhilin; Ruiz, Juan
1
2018
Analysis of the Gibbs phenomenon in stationary subdivision schemes. Zbl 1376.41003
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos; Yáñez, Dionisio F.
1
2018
On a power WENO scheme with improved accuracy near discontinuities. Zbl 1377.65099
Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan C.
1
2017
An efficient optimal family of sixteenth order methods for nonlinear models. Zbl 1434.65078
Behl, 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 1415.65038
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos; Yáñez, Dionisio F.
1
2019
On two high-order families of frozen Newton-type methods. Zbl 1424.65072
Amat, S.; Argyros, I.; Busquier, S.; Hernández-Verón, M. A.
4
2018
On the local convergence study for an efficient k-step iterative method. Zbl 06892299
Amat, 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 1426.41002
Amat, 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 1391.65031
Amat, Sergio; Li, Zhilin; Ruiz, Juan
1
2018
Analysis of the Gibbs phenomenon in stationary subdivision schemes. Zbl 1376.41003
Amat, 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 1359.65084
Amat, S.; Argyros, Ioannis K.; Busquier, S.; Magreñán, Á. Alberto
4
2017
After notes on Chebyshev’s iterative method. Zbl 1378.65114
Amat, S.; Busquier, S.
3
2017
New WENO smoothness indicators computationally efficient in the presence of corner discontinuities. Zbl 1370.65008
Amat, Sergio; Ruiz, Juan
3
2017
On a power WENO scheme with improved accuracy near discontinuities. Zbl 1377.65099
Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan C.
1
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
On a Moser-Steffensen type method for nonlinear systems of equations. Zbl 1355.65069
Amat, 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 1354.65157
Amat, Sergio; Busquier, Sonia; Bermúdez, Concepción; Magreñán, Á. Alberto
11
2016
Advances in iterative methods for nonlinear equations. Zbl 1356.65002
Amat, Sergio (ed.); Busquier, Sonia (ed.)
11
2016
On an efficient \(k\)-step iterative method for nonlinear equations. Zbl 1382.65136
Amat, S.; Bermúdez, C.; Hernández-Verón, M. A.; Martínez, Eulalia
4
2016
A Steffensen type method of two steps in Banach spaces with applications. Zbl 1325.65077
Amat, 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 1339.41001
Amat, Sergio; Liandrat, J.; Ruiz, Juan; Trillo, J. C.
3
2016
On a Steffensen-like method for solving nonlinear equations. Zbl 1348.65090
Amat, Sergio; Ezquerro, J. A.; Hernández-Verón, M. A.
2
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 07042277
Amat, 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 1349.65153
Amat, S.; Ezquerro, J. A.; Hernández-Verón, M. A.
1
2015
Iterative methods for computing the matrix square root. Zbl 1331.65068
Amat, S.; Ezquerro, J. A.; Hernández-Verón, M. A.
1
2015
Improving the applicability of the secant method to solve nonlinear systems of equations. Zbl 1338.65136
Amat, S.; Hernández-Verón, M. A.; Rubio, M. J.
6
2014
Approximation of inverse operators by a new family of high-order iterative methods. Zbl 1340.65105
Amat, Sergio; Ezquerro, José Antonio; Hernández Verón, Miguel A.
5
2014
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.
3
2014
Improving the compression rate versus \(L^{1}\) error ratio in cell-average error control algorithms. Zbl 1298.41009
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos
3
2014
On a family of high-order iterative methods under gamma conditions with applications in denoising. Zbl 1308.65081
Amat, S.; Hernández, M. A.; Romero, N.
2
2014
An optimization approach for the numerical approximation of differential equations. Zbl 1287.49034
Amat, Sergio; López, David J.; Pedregal, Pablo
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
On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods. Zbl 1308.65074
Grau-Sánchez, Miquel; Noguera, Miquel; Amat, Sergio
32
2013
Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications. Zbl 1288.65069
Amat, Sergio; Busquier, Sonia; Grau, Àngela; Grau-Sánchez, Miquel
15
2013
On a two-step relaxed Newton-type method. Zbl 1304.65149
Amat, S.; Magreñán, Á. A.; Romero, N.
14
2013
Reducing chaos and bifurcations in Newton-type methods. Zbl 07095287
Amat, S.; Busquier, S.; Magreñán, Á. A.
9
2013
Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators. Zbl 1291.65053
Amat, S.; Donat, R.; Trillo, J. C.
5
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.
4
2013
High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes. Zbl 1288.65012
Amat, S.; Dadourian, K.; Liandrat, J.; Trillo, J. C.
3
2013
On a variational approach for the analysis and numerical simulation of ODEs. Zbl 1264.65101
Amat, Sergio; Pedregal, Pablo
3
2013
On a nonlinear 4-point quaternary approximating subdivision scheme eliminating the Gibbs phenomenon. Zbl 1273.65023
Amat, S.; Liandrat, J.
2
2013
On two families of high order Newton type methods. Zbl 1252.65090
Amat, S.; Busquier, S.; Bermúdez, C.; Plaza, S.
20
2012
Semilocal convergence of a sixth order iterative method for quadratic equations. Zbl 1387.65049
Amat, S.; Hernández, M. A.; Romero, N.
16
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
On a compact non-extrapolating scheme for adaptive image interpolation. Zbl 1260.94004
Amat, S.; Liandrat, J.; Ruiz, Juan; Trillo, J. C.
4
2012
On a nonlinear cell-average multiresolution scheme for image compression. Zbl 1260.94005
Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan Carlos
3
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
2
2012
On a Newton-type method for differential-algebraic equations. Zbl 1268.65105
Amat, S.; Légaz, M. J.; Pedregal, P.
1
2012
Third-order iterative methods with applications to Hammerstein equations: a unified approach. Zbl 1216.65064
Amat, S.; Busquier, S.; Gutiérrez, J. M.
22
2011
Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms. Zbl 1252.65027
Amat, 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 1217.41002
Amat, S.; Dadourian, K.; Liandrat, J.
8
2011
Superattracting cycles for some Newton type iterative methods. Zbl 1218.37123
Amat, 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 1230.65024
Moncayo, María; Amat, Sergio
1
2011
Chaotic dynamics of a third-order Newton-type method. Zbl 1187.65050
Amat, S.; Busquier, S.; Plaza, S.
59
2010
On a third-order Newton-type method free of bilinear operators. Zbl 1240.49046
Amat, S.; Bermúdez, C.; Busquier, S.; Plaza, S.
16
2010
A family of stable nonlinear nonseparable multiresolution schemes in 2D. Zbl 1186.94006
Amat, 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 1189.65318
Amat, S.; Dadourian, K.; Liandrat, J.; Ruiz, Juan; Trillo, J. C.
5
2010
Fast multiresolution algorithms and their related variational problems for image denoising. Zbl 1203.65036
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos
3
2010
Non-uniform multiresolution analysis with supercompact multiwavelets. Zbl 1231.65263
Amat, Sergio; Moncayo, María
2
2010
A family of Halley-Chebyshev iterative schemes for non-Fréchet differentiable operators. Zbl 1173.65036
Amat, Sergio; Bermúdez, Concepción; Busquier, Sonia; Mestiri, Driss
10
2009
A variational approach to implicit ODEs and differential inclusions. Zbl 1172.34002
Amat, Sergio; Pedregal, Pablo
8
2009
Exact error bounds for the reconstruction processes using interpolating wavelets. Zbl 1184.65126
Amat, S.; Moncayo, M.
4
2009
On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation. Zbl 1188.65012
Amat, Sergio; Donat, Rosa; Trillo, J. Carlos
3
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
Denoising using linear and nonlinear multiresolutions. II: Cell-average framework and color images. Zbl 1257.94008
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos
1
2009
A modified Chebyshev’s iterative method with at least sixth order of convergence. Zbl 1157.65369
Amat, S.; Hernández, M. A.; Romero, N.
64
2008
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.
19
2008
\(l^\infty \)-stability for linear multiresolution algorithms: A new explicit approach. I: The basic rules and the Daubechies case. Zbl 1163.65103
Amat, Sergio; Moncayo, María
8
2008
On the global convergence of Chebyshev’s iterative method. Zbl 1149.65035
Amat, S.; Busquier, S.; Gutiérrez, J. M.; Hernández, M. A.
8
2008
On the dynamics of the Euler iterative function. Zbl 1137.65027
Amat, 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 1164.65040
Amat, Sergio; Moncayo, María
5
2008
Lagrange interpolation for continuous piecewise smooth functions. Zbl 1156.41002
Amat, 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 1174.65060
Amat, Sergio; Moncayo, María
3
2008
High order iterative schemes for quadratic equations. Zbl 1155.65039
Alarcón, Virginia; Amat, Sergio; Busquier, Sonia; Manzano, Fernando
2
2008
Error bounds for a convexity-preserving interpolation and its limit function. Zbl 1130.41002
Amat, S.; Dadourian, K.; Donat, R.; Liandrat, J.; Trillo, J. C.
2
2008
Third-order iterative methods under Kantorovich conditions. Zbl 1128.65036
Amat, S.; Busquier, S.
44
2007
A fully adaptive multiresolution scheme for image processing. Zbl 1134.68063
Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos
11
2007
On multiresolution schemes using a stencil selection procedure: applications to ENO schemes. Zbl 1135.65308
Amat, Sergio; Busquier, Sonia; Trillo, J. Carlos
7
2007
On the dynamics of a family of third-order iterative functions. Zbl 1130.37043
Amat, Sergio; Busquier, Sonia; Plaza, Sergio
6
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
On the convergence of various subdivision schemes using a perturbation theorem. Zbl 1130.65037
Amat, S.; Dadourian, K.; Liandrat, J.
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
Analysis of a new nonlinear subdivision scheme. Applications in image processing. Zbl 1106.41001
Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos
36
2006
A two-step Steffensen’s method under modified convergence conditions. Zbl 1103.65060
Amat, S.; Busquier, S.
30
2006
A construction of attracting periodic orbits for some classical third-order iterative methods. Zbl 1113.65047
Amat, S.; Busquier, Sonia; Plaza, S.
26
2006
On a Steffensen’s type method and its behavior for semismooth equations. Zbl 1096.65047
Amat, Sergio; Busquier, Sonia
22
2006
An adaptive version of a fourth-order iterative method for quadratic equations. Zbl 1094.65050
Amat, Sergio; Busquier, Sonia; Gutiérrez, José M.
10
2006
Nonlinear Harten’s multiresolution on the quincunx pyramid. Zbl 1087.94004
Amat, Sergio; Busquier, S.; Trillo, J. C.
6
2006
Point values Hermite multiresolution for nonsmooth noisy signals. Zbl 1092.65019
Ali, I.; Amat, S.; Trillo, J. C.
1
2006
Dynamics of the King and Jarratt iterations. Zbl 1068.30019
Amat, Sergio; Busquier, Sonia; Plaza, Sergio
93
2005
On the stability of the PPH nonlinear multiresolution. Zbl 1077.65138
Amat, Sergio; Liandrat, Jacques
32
2005
Convergence and numerical analysis of a family of two-step Steffensen’s methods. Zbl 1075.65080
Amat, S.; Busquier, S.
27
2005
Denoising using linear and nonlinear multiresolutions. Zbl 1191.94011
Amat, Sergio; Cherif, Hedi; Trillo, J. Carlos
5
2005
Stable interpolatory multiresolution in 3D. Zbl 1086.94002
Amat, Sergio; Busquier, Sonia; Trillo, J. C.
2
2005
Review of some iterative root-finding methods from a dynamical point of view. Zbl 1137.37316
Amat, Sergio; Busquier, Sonia; Plaza, Sergio
95
2004
Dynamics of a family of third-order iterative methods that do not require using second derivatives. Zbl 1057.65023
Amat, Sergio; Busquier, Sonia; Plaza, Sergio
38
2004
Adaptive approximation of nonlinear operators. Zbl 1071.65077
Amat, Sergio; Busquier, Sonia; Negra, Mehdi
35
2004
On the local convergence of secant-type methods. Zbl 1068.65068
Amat, S.; Busquier, S.; Gutiérrez, J. M.
16
2004
...and 15 more Documents
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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
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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
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7 Computers & Mathematics with Applications
7 Applied Mathematics Letters
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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
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5 Journal of Scientific Computing
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5 Advances in Computational Mathematics
4 Journal of the Franklin Institute
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4 Journal of Applied Mathematics
4 International Journal of Computational Methods
4 Mediterranean Journal of Mathematics
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3 Nonlinear Dynamics
3 Discrete Dynamics in Nature and Society
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3 AMM. Applied Mathematics and Mechanics. (English Edition)
2 Indian Journal of Pure & Applied Mathematics
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2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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1 The Journal of Analysis
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1 Journal of Inverse and Ill-Posed Problems
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