PROYECTOS I+D
Project MTM2014-52016-C2-1-P ENOLIN
Ecuaciones no lineales y métodos iterativos. Aplicaciones a problemas de optimización y ecuaciones matriciales. Nonlinear equations and iterative methods. Applications to optimization problems and matrix equations.
Of National scope.
Researchers
Publications related to the project
Show by type2018
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The majorant principle applied to Hammerstein integral equations
Applied Mathematics Letters
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Majorizing Sequences for Nonlinear Fredholm–Hammerstein Integral Equations
Studies in Applied Mathematics
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Auxiliary point on the semilocal convergence of Newton's method
Journal of Computational and Applied Mathematics
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An acceleration of the continuous Newton's method
Journal of Computational and Applied Mathematics
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Domains of global convergence for Newton's method from auxiliary points
Applied Mathematics Letters
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On two high-order families of frozen Newton-type methods
Numerical Linear Algebra with Applications
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On the local convergence study for an efficient k-step iterative method
Journal of Computational and Applied Mathematics
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Extending the domain of starting points for Newton's method under conditions on the second derivative
Journal of Computational and Applied Mathematics
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Starting points for Newton's method under a center Lipschitz condition for the second derivative
Journal of Computational and Applied Mathematics
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Solving Symmetric Algebraic Riccati Equations with High Order Iterative Schemes
Mediterranean Journal of Mathematics
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Existence, localization and approximation of solution of symmetric algebraic Riccati equations
Computers and Mathematics with Applications
2017
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Expanding the applicability of some high order Househölder-like methods
Algorithms
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On the Efficiency of a Family of Steffensen-Like Methods with Frozen Divided Differences
Computational Methods in Applied Mathematics
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A study of the influence of center conditions on the domain of parameters of Newton’s method by using recurrence relations
Advances in Computational Mathematics
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A first overview on the real dynamics of Chebyshev's method
Journal of Computational and Applied Mathematics
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Sums of powers of Catalan triangle numbers
Discrete Mathematics
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Convergence of Newton’s method under Vertgeim conditions: new extensions using restricted convergence domains
Journal of Mathematical Chemistry
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Convergence of Steffensen’s method for non-differentiable operators
Numerical Algorithms
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Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems
Numerical Algorithms
2016
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Complexity of an homotopy method at the neighbourhood of a zero
Advances in Iterative Methods for Nonlinear Equations
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Measures of the basins of attracting n-cycles for the relaxed Newton’s method
Advances in Iterative Methods for Nonlinear Equations
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The theory of Kantorovich for Newton’s method: Conditions on the second derivative
Advances in Iterative Methods for Nonlinear Equations
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Miniatura. El problema de Cayley y el método de Chebyshev
Gaceta de la Real Sociedad Matematica Española
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On a Moser–Steffensen Type Method for Nonlinear Systems of Equations
Mediterranean Journal of Mathematics
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Enlarging the domain of starting points for Newton's method under center conditions on the first Fréchet-derivative
Journal of Complexity
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A modification of the Lipschitz condition in the Newton-Kantorovich theorem
Zeitschrift für Analysis und ihre Anwendungen
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On the ball of convergence of secant-like methods for non-differentiable operators
Applied Mathematics and Computation
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On a Newton-kurchatov-type iterative process
Numerical Functional Analysis and Optimization
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On an efficient k-step iterative method for nonlinear equations
Journal of Computational and Applied Mathematics
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Quadrature Rules for L1-Weighted Norms of Orthogonal Polynomials
Mediterranean Journal of Mathematics
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Stability analysis of a parametric family of iterative methods for solving nonlinear models
Applied Mathematics and Computation
2015
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Numerical properties of different root-finding algorithms obtained for approximating continuous newton's method
Algorithms
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On the accessibility of Newton's method under a Hölder condition on the first derivative
Algorithms
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On the local convergence of a third order family of iterative processes
Algorithms
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On a new family of high-order iterative methods for the matrix pth root
Numerical Linear Algebra with Applications
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On a Steffensen-like method for solving nonlinear equations
Calcolo
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Enlarging The convergence domain of secant-like methods for equations
Taiwanese Journal of Mathematics
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How to improve the domain of parameters for Newton's method
Applied Mathematics Letters
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A family of iterative methods that uses divided differences of first and second orders
Numerical Algorithms
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On the Domain of Starting Points of Newton’s Method Under Center Lipschitz Conditions
Mediterranean Journal of Mathematics
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Graphical representations for the homogeneous bivariate Newton's method
Applied Mathematics and Computation
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Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations
SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada
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Expanding the applicability of secant-like methods for solving nonlinear equations
Carpathian Journal of Mathematics
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On the local convergence of a fifth-order iterative method in Banach spaces
Applied Mathematics and Computation
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Center conditions on high order derivatives in the semilocal convergence of Newton's method
Journal of Complexity
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An analysis of the semilocal convergence for secant-like methods
Applied Mathematics and Computation
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On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions
Numerical Algorithms
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An extension of a theorem by Wang for Smale's α-theory and applications
Numerical Algorithms