DAMRES

The Research Group

DAMRES (Diseño y Análisis de Métodos Iterativos de Resolución de Ecuaciones y Sistemas no lineales) is a research group of del Instituto de Matemáticas Multidisciplinar at Universidad Politécnica de Valencia. DAMRES group is formed by researchers from Universidad Politécnica de Valencia: Juan R. Torregrosa, Alicia Cordero, Eulalia Martínez and José L. Hueso; by researchers from Universitàt Jaume I de Castellón: Pura Vindel and Beatriz Campos and also by researchers from Instituto Tecnológico de Santo Domingo (República Dominicana): María P. Vassileva, Santiago Artidiello y Javier G. Maimo.
The design, analysis and implementation of iterative methods for solving nonlinear equations or systems of equations is an important area of research in Numerical Analisis and, in general, in any applied cience, as many problems in Science and Engineering need to solve this kind of equations. As examples can be listed discretization techniques of integral equations and boundary problems, the study of partial differential equations: wave equations, Burgers equation; orbit determination of satellites algorithms, dinamical models for chemical reactors, radioactive transference problems, global positioning systems, among others.
In last years many papers have been published, by our group or by other research groups in this area, related to the study and application of iterative methods. This wide literature reveals it is a dynamical area of Numerical Analysis with a promising future.

Topics of interest

The areas in which we are actually working include:
-   Multipoint iterative methods, with or without memory.
-   Steffensen-type iterative schemes.
-   Iterative methods in Banach spaces.
-   Iterative procedures for singular problems: multiple roots, singular or ill-conditioned Jacobian matrices
-   Interval methods for solving nonlinear equations or nonlinear systems.
-   Complex and real dynamical analysis of the rational operator associated to any iterative method or family of schemes.
-   Solving nonlinear matrix equations by means of iterative methods.
-   Design and analysis of algorithms for obtaining inverses and pseudoinverses.
-   Aplication of iterative schemes to engineering problems: electromagnetism problems,                       signal processing, etc