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Plaza, Sergio

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Author ID: plaza.sergio Recent zbMATH articles by "Plaza, Sergio"
Published as: Plaza, S.; Plaza, Sergio
Documents Indexed: 40 Publications since 1989, including 2 Books

Publications by Year

Citations contained in zbMATH

26 Publications have been cited 451 times in 246 Documents Cited by Year
Review of some iterative root-finding methods from a dynamical point of view. Zbl 1137.37316
Amat, Sergio; Busquier, Sonia; Plaza, Sergio
97
2004
Dynamics of the King and Jarratt iterations. Zbl 1068.30019
Amat, Sergio; Busquier, Sonia; Plaza, Sergio
95
2005
Chaotic dynamics of a third-order Newton-type method. Zbl 1187.65050
Amat, S.; Busquier, S.; Plaza, S.
60
2010
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
40
2004
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 two families of high order Newton type methods. Zbl 1252.65090
Amat, S.; Busquier, S.; Bermúdez, C.; Plaza, S.
21
2012
Attracting cycles for the relaxed Newton’s method. Zbl 1215.65089
Plaza, Sergio; Romero, Natalia
20
2011
On a third-order Newton-type method free of bilinear operators. Zbl 1240.49046
Amat, S.; Bermúdez, C.; Busquier, S.; Plaza, S.
16
2010
Dynamics of a higher-order family of iterative methods. Zbl 1215.65094
Honorato, Gerardo; Plaza, Sergio; Romero, Natalia
12
2011
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.
10
2012
On the dynamics of the Euler iterative function. Zbl 1137.65027
Amat, S.; Bermúdez, C.; Busquier, S.; Plaza, S.
8
2008
On the dynamics of a family of third-order iterative functions. Zbl 1130.37043
Amat, Sergio; Busquier, Sonia; Plaza, Sergio
6
2007
Existence of attracting periodic orbits for the Newton method. Zbl 1137.37317
Plaza, Sergio; Vergara, Vicente
6
2002
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
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
Dynamics of a fifth-order iterative method. Zbl 1335.37023
Gutiérrez, José M.; Plaza, Sergio; Romero, Natalia
4
2012
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
Superattracting cycles for some Newton type iterative methods. Zbl 1218.37123
Amat, Sergio; Busquier, Sonia; Navarro, Emilie; Plaza, Sergio
3
2011
On central Cantor sets with self-arithmetic difference of positive Lebesgue measure. Zbl 0839.28002
Bamón, Rodrigo; Plaza, Sergio; Vera, Jaime
3
1995
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
Differentiable structures of central Cantor sets. Zbl 0895.58017
Bamón, Rodrigo; Moreira, Carlos G.; Plaza, Sergio; Vera, Jaime
2
1997
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
Global stability of families of vector fields. Zbl 0798.58044
Labarca, R.; Plaza, S.
1
1993
Cantor sets, numerical invariants and Perron Frobenius theory. Zbl 0794.58034
Bamon, R.; Plaza, S.
1
1993
Global stability of saddle-node bifurcation for vector fields. Zbl 0696.58025
Plaza, Sergio
1
1989
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
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 two families of high order Newton type methods. Zbl 1252.65090
Amat, S.; Busquier, S.; Bermúdez, C.; Plaza, S.
21
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.
10
2012
Dynamics of a fifth-order iterative method. Zbl 1335.37023
Gutiérrez, José M.; Plaza, Sergio; Romero, Natalia
4
2012
Attracting cycles for the relaxed Newton’s method. Zbl 1215.65089
Plaza, Sergio; Romero, Natalia
20
2011
Dynamics of a higher-order family of iterative methods. Zbl 1215.65094
Honorato, Gerardo; Plaza, Sergio; Romero, Natalia
12
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.
60
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
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
On the dynamics of the Euler iterative function. Zbl 1137.65027
Amat, S.; Bermúdez, C.; Busquier, S.; Plaza, S.
8
2008
On the dynamics of a family of third-order iterative functions. Zbl 1130.37043
Amat, Sergio; Busquier, Sonia; Plaza, Sergio
6
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 construction of attracting periodic orbits for some classical third-order iterative methods. Zbl 1113.65047
Amat, S.; Busquier, Sonia; Plaza, S.
26
2006
Dynamics of the King and Jarratt iterations. Zbl 1068.30019
Amat, Sergio; Busquier, Sonia; Plaza, Sergio
95
2005
Review of some iterative root-finding methods from a dynamical point of view. Zbl 1137.37316
Amat, Sergio; Busquier, Sonia; Plaza, Sergio
97
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
40
2004
Existence of attracting periodic orbits for the Newton method. Zbl 1137.37317
Plaza, Sergio; Vergara, Vicente
6
2002
Differentiable structures of central Cantor sets. Zbl 0895.58017
Bamón, Rodrigo; Moreira, Carlos G.; Plaza, Sergio; Vera, Jaime
2
1997
On central Cantor sets with self-arithmetic difference of positive Lebesgue measure. Zbl 0839.28002
Bamón, Rodrigo; Plaza, Sergio; Vera, Jaime
3
1995
Global stability of families of vector fields. Zbl 0798.58044
Labarca, R.; Plaza, S.
1
1993
Cantor sets, numerical invariants and Perron Frobenius theory. Zbl 0794.58034
Bamon, R.; Plaza, S.
1
1993
Global stability of saddle-node bifurcation for vector fields. Zbl 0696.58025
Plaza, Sergio
1
1989
all top 5

Cited by 189 Authors

68 Argyros, Ioannis Konstantinos
38 Cordero, Alicia
38 Torregrosa Sanchez, Juan Ramón
36 Magreñán, Ángel Alberto
25 Neta, Beny
21 Chun, Changbum
20 Amat, Sergio P.
17 Behl, Ramandeep
17 Busquier, Sonia
14 Plaza, Sergio
13 George, Santhosh
12 Gutiérrez, José Manuel
12 Kim, Young Ik
11 Motsa, Sandile Sydney
11 Vindel, Pura
9 Geum, Young Hee
9 Martínez, Eulalia
7 Bermúdez, Concepción
7 Kansal, Munish
6 Anastassiou, George Angelos
6 Campos, Beatriz
6 Kanwar, Vinay
6 Lotfi, Taher
6 Salimi, Mehdi
6 Scott, Melvin R.
6 Sharifi, Somayeh
5 Chicharro, Francisco I.
5 Hilout, Saïd
5 Hueso, José Luis
4 Hernández Paricio, Luis Javier
4 Hernández-Verón, Miguel Ángel
4 Kogan, Tamara
4 Romero, Natalia
4 Sapir, Amir
4 Sapir, Luba
4 Sharma, Janak Raj
4 Soleymani, Fazlollah
4 Teruel, Carles
3 Babajee, Diyashvir Kreetee Rajiv
3 Collins, Jared T.
3 Džunić, Jovana
3 Ferrara, Massimiliano
3 Grau-Sánchez, Miquel
3 Kumar, Deepak
3 Madhu, Kalyanasundaram
3 Petković, Ljiljana D.
3 Petković, Miodrag S.
3 Sapir, Ariel
3 Sicilia, Juan Antonio
3 Siegmund, Stefan
3 Vassileva, María P.
3 Wu, Qingbiao
3 Zheng, Lin
2 Basto, Mário
2 Bittencourt, Tiberio
2 Calheiros, Francisco L.
2 Campbell, James T.
2 Castro, Rodrigo
2 Ferreira, Orizon Pereira
2 García-Olivo, Martín
2 Garrido, Neus
2 Gu, Chuanqing
2 Guasp, Lucia
2 Gupta, Dharmendra Kumar
2 Hasegawa, Takemitsu
2 Herceg, Đorđe D.
2 Honorato, Gerardo
2 Jayaraman, Jayakumar
2 Khattri, Sanjay K.
2 Lee, Min-Young
2 Lee, Miyoung
2 Liu, Gang
2 Machado, José António Tenreiro
2 Mahdiani, Katayoun
2 Nik Long, N. M. A.
2 Noguera, Miquel
2 Orcos, Lara
2 Parhi, Sanjaya Kumar
2 Petković, Ivan
2 Ponnusamy, Saminathan
2 Rivas Rodríguez, María Teresa
2 S. Motsa, Sandile
2 Semiao, Viriato
2 Sharma, Debasis
2 Silva, Gilson N.
2 Singh, Sukhjit
2 Sugiura, Hiroshi
2 Suzuki, Tomohiro
2 Varona Malumbres, Juan Luis
2 Zhao, Yueqing
1 Abreu, Teresa
1 Allahviranloo, Tofigh
1 Alshomrani, Ali Saleh
1 Alshormani, Ali Saleh
1 Amiri, A. R.
1 Amiri, Abdolreza
1 Anisca, Razvan
1 Antoni, Grégory
1 Bahl, Ashu
1 Bajaj, Sugandha
...and 89 more Authors
all top 5

Cited in 66 Serials

57 Applied Mathematics and Computation
30 Journal of Computational and Applied Mathematics
22 Numerical Algorithms
21 S\(\vec{\text{e}}\)MA Journal
8 Journal of Mathematical Chemistry
7 International Journal of Computer Mathematics
7 Algorithms
6 International Journal of Applied and Computational Mathematics
5 Applied Numerical Mathematics
4 Applicationes Mathematicae
4 Abstract and Applied Analysis
3 Journal of Mathematical Analysis and Applications
3 Applied Mathematics Letters
3 Computational and Applied Mathematics
3 Nonlinear Dynamics
2 Mathematics and Computers in Simulation
2 Journal of Complexity
2 Discrete Dynamics in Nature and Society
2 Qualitative Theory of Dynamical Systems
2 International Journal of Computational Methods
2 Symmetry
2 Journal of Nonlinear Analysis and Optimization: Theory & Applications
2 Mathematics
1 Journal of the Franklin Institute
1 Calcolo
1 Compositio Mathematica
1 Journal of Optimization Theory and Applications
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Real Analysis Exchange
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Synthese
1 Topology and its Applications
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Mathematical and Computer Modelling
1 Journal of Global Optimization
1 Linear Algebra and its Applications
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Bulletin des Sciences Mathématiques
1 Complexity
1 Journal of Difference Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Journal of Inequalities and Applications
1 Revista Matemática Complutense
1 The ANZIAM Journal
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of the Australian Mathematical Society
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 Applied Mathematics E-Notes
1 Journal of Applied Mathematics
1 Journal of Applied Mathematics and Computing
1 Cubo
1 Complex Variables and Elliptic Equations
1 Asian-European Journal of Mathematics
1 ACM Communications in Computer Algebra
1 Science China. Mathematics
1 Afrika Matematika
1 Arabian Journal of Mathematics
1 Axioms
1 Mathematical Sciences
1 Journal of Complex Analysis
1 International Journal of Engineering Mathematics
1 Open Mathematics

Citations by Year