Books

2022

Giro Candelario, Alicia Cordero, Juan R. Torregrosa, María P. Vassileva

Iterative processes with fractional derivatives Book Chapter

In: Radwan, Ahmed G.; Khanday, Farooq Ahmad; Said, Lobna A. (Ed.): 2022, ISBN: 978-0-323-90089-8, (Publication Title: Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control).

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2020

L. Orcos, Alicia Cordero, Cristina Jordán, Á Alberto Magreñán, Esther Sanabria-Codesal, Juan R. Torregrosa

Reverse teaching as a methodological strategy for mathematics learning in higher education Book

2020, (Publication Title: Didactics of Mathematics: New Trends and Experiences).

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2017

Alicia Cordero, Juan R. Torregrosa, María P. Vassileva

On optimal gaussian preliminary orbit determination by using a generalized class of iterative methods Book

2017, (Publication Title: Mathematical Research Summaries).

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2014

Alicia Cordero, Juan R. Torregrosa, María P. Vassileva

On Optimal Gaussian Preliminary Orbit Determination by Using a Generalized Class of Iterative Methods Book

2014, (Publication Title: Mathematical Modeling in Social Sciences and Engineering).

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Manuel Abad, Alicia Cordero, Juan R. Torregrosa

An Optimal Scheme for Solving the Nonlinear Global Positioning System Problem Book

2014, (Publication Title: Mathematical Modeling in Social Sciences and Engineering).

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2012

Eduardo Parrilla, J. Riera, Juan R. Torregrosa, José L. Hueso

Fuzzy control system for obstacle detection in 3D tracking Book

2012, (Publication Title: Fuzzy Control Systems).

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2000

Cristina Jordán, Juan R. Torregrosa, Ana M. Urbano

Completion problems of partial inverse M-matrix Book

2000, (Publication Title: Recent Advances in Applied and Theoretical Mathematics).

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2016

Advances in Iterative Methods for Nonlinear Equations

This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.

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Jane Fikret

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