Research project
Diferentes tipos de condiciones iniciales para la convergencia semilocal en la aproximación de ceros de operadores no lineales. Aplicaciones.
Researchers
Publications related to the project
Show by pub type2009
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Computer proofs of new identities in the Catalan triangle
Proceedings of the "Segundas Jornadas de Teoría de Números" : Madrid, july, 16th-19th, 2007
2008
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Picard's Iterations for Integral Equations of Mixed Hammerstein Type
Canadian mathematical bulletin
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The Ulm method under mild differentiability conditions
Numerische Mathematik
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A modification of Cauchy's method for quadratic equations
Journal of Mathematical Analysis and Applications
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A numerical procedure to solve non-linear kinematic problems in spatial mechanisms
International Journal for Numerical Methods in Engineering
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A note on a modification of Moser's method
Journal of Complexity
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New identities in the Catalan triangle.
Journal of Mathematical Analysis and Applications
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On the global convergence of Chebyshev's iterative method
Journal of Computational and Applied Mathematics
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A modified Chebyshev's iterative method with at least six order of convergence
Applied Mathematics and Computation
2007
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Halley's method for operators with unbounded second derivative
Applied numerical mathematics
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Chebyshev's approximation algorithms for operators with ?-conditioned first derivative
Journal of Computational Analysis and Applications
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A generalization of the Kantorovich type assumptions for Halley's method
International Journal of Computer Mathematics
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A unifying local and semilocal convergence analysis of Newton-like methods
Advances in Nonlinear Variational Inequalities
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Accelerated iterative methods for finding solutions of a system of nonlinear equations
Applied Mathematics and Computation
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General study of iterative processes of R-order at least three under weak convergence conditions.
Journal of Optimization Theory and Applications
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Application of iterative processes of R-order at least three to operators with unbounded second derivative.
Applied Mathematics and Computation
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The Catalan numbers in the approximation of roots of quadratic polynomials.
Grazer Mathematische Berichte
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Methods with prefixed order for approximating square roots with global and general convergence.
Applied Mathematics and Computation
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On efficiency index of point-to-point iterative processes.
Numerical Algorithms
2006
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Familias paramétricas de procesos iterativos de alto orden de convergencia
Natalia Romero Álvarez
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Parametric families of iterative processes with high order of convergence.
Universidad de La Rioja
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Fewer convergence conditions for the Halley method.
Zeitschrift für Analysis und ihre Anwendungen
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On the R-order of convergence of Newton's method under mild differentiability conditions.
Journal of Computational and Applied Mathematics
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An adaptative version of a fourth order iterative method for quadratic equations
Journal of Computational and Applied Mathematics
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A new semilocal convergence theorem for Steffensen's type methods
International Journal of Applied Science & Computations