Advances in Iterative Methods for Nonlinear Equations

  • Sergio Amat
  • Sonia Busquier

Part of the SEMA SIMAI Springer Series book series (SEMA SIMAI, volume 10)

Table of contents

  1. Front Matter
    Pages i-v
  2. Sergio Amat
    Pages 1-3
  3. S. Amat, S. Busquier, Á. A. Magreñán, L. Orcos
    Pages 5-21
  4. Ioannis K. Argyros, Daniel González
    Pages 23-56
  5. I. K. Argyros, Á. A. Magreñán
    Pages 57-78
  6. Alicia Cordero, Juan R. Torregrosa
    Pages 79-111
  7. J. A. Ezquerro, M. A. Hernández-Verón
    Pages 113-145
  8. J.-C. Yakoubsohn, J. M. Gutiérrez, Á. A. Magreñán
    Pages 147-171
  9. J. M. Gutiérrez, L. J. Hernández, Á. A. Magreñán, M. T. Rivas
    Pages 211-245

About this book


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.   


Iterative methods Convergence Efficiency Ergodic theory Computational mathematics

Editors and affiliations

  • Sergio Amat
    • 1
  • Sonia Busquier
    • 2
  1. 1.Departamento de MatemáticaAplicada y Estadística Universidad Politécnica de CartagenaCartagenaSpain
  2. 2.Departamento de MatemáticaAplicada y Estadística Universidad Politécnica de CartagenaCartagenaSpain

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