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Alicia Cordero
Researcher at Polytechnic University of Valencia
Publications - 229
Citations - 3967
Alicia Cordero is an academic researcher from Polytechnic University of Valencia. The author has contributed to research in topics: Iterative method & Nonlinear system. The author has an hindex of 29, co-authored 199 publications receiving 3339 citations.
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Isonormal surfaces: a new tool for the multidimensional dynamical analysis of iterative methods for solving nonlinear systems
TL;DR: This manuscript introduces a new tool, which is called isonormal surface, to complement the information about the stability of the iterative method provided by the dynamic elements, and some numerical tests confirm the obtained dynamical results.
Journal ArticleDOI
An Efficient Iterative Method Based on Two-Stage Splitting Methods to Solve Weakly Nonlinear Systems
TL;DR: An iterative method for solving large, sparse systems of weakly nonlinear equations is presented, based on Hermitian/skew-Hermitian splitting (HSS) scheme, and the convergence theorem is established.
Journal ArticleDOI
New Iterative Schemes to Solve Nonlinear Systems with Symmetric Basins of Attraction
TL;DR: A new Jarratt-type family of optimal fourth- and sixth-order iterative methods for solving nonlinear equations, along with their convergence properties, are presented and extended to nonlinear systems of equations with equal convergence order.
Proceedings ArticleDOI
Stability of different families of iterative methods with memory
TL;DR: In this paper, a family of derivative-free optimal iterative methods of order four, for solving nonlinear equations, is constructed by using weight function procedure, and different iterative schemes with memory can be designed increasing the order of convergence up to six.
Journal ArticleDOI
An optimal eighth order derivative free multiple root finding scheme and its dynamics
TL;DR: In this paper , the authors presented an eight-order optimal derivative-free method to find multiple zeros of the nonlinear equation by weight function approach in a three-step method including the first step as a Traub-Steffensen iteration and the next two as Traub Steffensen-like iterations.