Iterative Processes and Non-Linear Equations

Iterative Processes and Non-Linear Equations

Organizers: Gutiérrez Jiménez, José Manuel (Universidad de La Rioja), Hernández-Verón, Miguel A. (Universidad de La Rioja)

Abstract

Solving nonlinear equations is one of the problems that appears more frequently in different scientific disciplines. Iterative processes play a key role for approximating the solutions of such equations. The target of this session is to show some research lines developed in this discipline, such as the study of the convergence of the considered iterative process, the analysis of their dynamical behavior or the numerical treatment of some particular problems, such as systems of nonlinear equations, optimization problems, matrix equations, differential or integral equations, etc.

Keywords: Nonlinear equations; Newton's method; Iterative methods

 

Sesssion 7. Thursday 11:30 – 13:35. Room A6.

Chair: Gutiérrez Jiménez, José Manuel (Universidad de La Rioja)

Speaker

Organization

Contribution title

Torregrosa, Juan R.

Universidad Politécnica de Valencia

Iterative methods with memory for approximating generalized inverses

Martínez Molada, Eulalia

Universidad Politécnica de Valencia

A predictor-corrector iterative scheme for improving the accessibility of the Steffensen-type methods

Yakoubsohn, Jean-Claude

Université Paul Sabatier, Toulouse

High order numerical methods for systems of equations

Romero Álvarez, Natalia

Universidad de La Rioja

On iterative schemes for matrix equations

 

 

 

Session 8. Thursday 18:00 – 20:00. Room A6.

Chair: Martínez Molada, Eulalia (Universidad Politécnica de Valencia)

Speaker

Organization

Contribution title

Cordero, Alicia

Universidad Politécnica de Valencia

Fractional iterative methods for solving nonlinear problems

Garrido, Neus

Universidad Politécnica de Valencia

Iterative processes for the solution of fuzzy equations

Chicharro, Francisco I.

Universidad Internacional de La Rioja

Different approximations of the parameter for low-order iterative methods with memory

 

 

 

Session 9. Friday 11:30 – 13:10. Room A6.

Chair: Yakoubsohn, Jean-Claude (Université Paul Sabatier, Toulouse)

Speaker

Organization

Contribution title

Amat, Sergio

Universidad Politécnica de Cartagena

A general progressive strategy to improve the order of accuracy of WENO schemes

Gutiérrez Jiménez, José Manuel

Universidad de La Rioja

Picard-type iterations for solving Fredholm integral equations

Magreñán, Ángel Alberto

Universidad de La Rioja

New results  on Convergence and Dynamics of a High-Order Method

 

 

 

 

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