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Amat, Sergio

Advances in Iterative Methods for Nonlinear Equations

Amat, Sergio - Advances in Iterative Methods for Nonlinear Equations, ebook

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ISBN: 9783319392288
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Table of contents

1. Introduction
Sergio Amat

2. An Overview on Steffensen-Type Methods
S. Amat, S. Busquier, Á. A. Magreñán, L. Orcos

3. Newton’s Method for Convex Optimization
Ioannis K. Argyros, Daniel González

4. Inexact Newton Methods on Riemannian Manifolds
I. K. Argyros, Á. A. Magreñán

5. On the Design of Optimal Iterative Methods for Solving Nonlinear Equations
Alicia Cordero, Juan R. Torregrosa

6. The Theory of Kantorovich for Newton’s Method: Conditions on the Second Derivative
J. A. Ezquerro, M. A. Hernández-Verón

7. Complexity of an Homotopy Method at the Neighbourhood of a Zero
J.-C. Yakoubsohn, J. M. Gutiérrez, Á. A. Magreñán

8. A Qualitative Analysis of a Family of Newton-Like Iterative Process with R-Order of Convergence At Least Three
M. A. Hernández-Verón, N. Romero

9. Measures of the Basins of Attracting n-Cycles for the Relaxed Newton’s Method
J. M. Gutiérrez, L. J. Hernández, Á. A. Magreñán, M. T. Rivas

10. On Convergence and Efficiency in the Resolution of Systems of Nonlinear Equations from a Local Analysis
Miquel Grau-Sánchez, Miquel Noguera

Keywords: Mathematics, Numerical Analysis, Dynamical Systems and Ergodic Theory, Functional Analysis, Difference and Functional Equations, Computational Science and Engineering, Algorithms

Editor
 
Publisher
Springer
Publication year
2016
Language
en
Edition
1
Series
SEMA SIMAI Springer Series
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783319392288
Printed ISBN
978-3-319-39227-1

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