Sonia
Busquier Sáez
Catedrática de Universidad
Sergio
Plaza Salinas
Publications by the researcher in collaboration with Sergio Plaza Salinas (18)
2014
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Newton-type methods on Riemannian manifolds under Kantorovich-type conditions This paper is dedicated to the memory of Sergio Plaza.
Applied Mathematics and Computation, Vol. 227, pp. 762-787
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Third-order methods on Riemannian manifolds under Kantorovich conditions This paper is dedicated to the memory of Sergio Plaza
Journal of Computational and Applied Mathematics, Vol. 255, pp. 106-121
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Traub-type high order iterative procedures on Riemannian manifolds
SeMA Journal, Vol. 63, Núm. 1, pp. 27-52
2013
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On a bilinear operator free third order method on Riemannian manifolds
Applied Mathematics and Computation, Vol. 219, Núm. 14, pp. 7429-7444
2012
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On a family of high-order iterative methods under Kantorovich conditions and some applications
Abstract and Applied Analysis, Vol. 2012
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On two families of high order Newton type methods
Applied Mathematics Letters, Vol. 25, Núm. 12, pp. 2209-2217
2011
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Superattracting cycles for some Newton type iterative methods
Science China Mathematics, Vol. 54, Núm. 3, pp. 539-544
2010
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Chaotic dynamics of a third-order Newton-type method
Journal of Mathematical Analysis and Applications, Vol. 366, Núm. 1, pp. 24-32
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On a third-order newton-type method free of bilinear operators
Numerical Linear Algebra with Applications, Vol. 17, Núm. 4, pp. 639-653
2009
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On the dynamics of some Newton's type iterative functions
International Journal of Computer Mathematics, Vol. 86, Núm. 4, pp. 631-639
2008
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On the dynamics of the Euler iterative function
Applied Mathematics and Computation, Vol. 197, Núm. 2, pp. 725-732
2007
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On the dynamics of a family of third-order iterative functions
ANZIAM Journal, Vol. 48, Núm. 3, pp. 343-359
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Super-attracting periodic orbits for a classical third order method
Journal of Computational and Applied Mathematics, Vol. 206, Núm. 1, pp. 599-602
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Un esquema de cuarto orden con casi-óptimo gasto computacional para ecuaciones no lineales
XX Congreso de ecuaciones diferenciales y aplicaciones y X Congreso de Matemáticas aplicadas
2006
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A construction of attracting periodic orbits for some classical third-order iterative methods
Journal of Computational and Applied Mathematics
2005
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Constructing attracting periodic orbits of three third-order iterative methods
Applied Mathematics and Computation, Vol. 161, Núm. 2, pp. 679-690
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Dynamics of the King and Jarratt iterations
Aequationes Mathematicae, Vol. 69, Núm. 3, pp. 212-223
2004
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Dynamics of a family of third-order iterative methods that do not require using second derivatives
Applied Mathematics and Computation, Vol. 154, Núm. 3, pp. 735-746