Mathematical Modeling for the Solution of Equations and Systems of Equations With Applications - Couverture rigide

Argyros, Ioannis K; George, Santhosh; Thapa, Narayan

 
9781536133615: Mathematical Modeling for the Solution of Equations and Systems of Equations With Applications
Couverture rigide
ISBN 10 : 1536133612 ISBN 13 : 9781536133615
Editeur : Nova Science Publishers Inc, 2018

Synopsis

This book is dedicated to the approximation of solutions of nonlinear equations using iterative methods. The study about convergence matter of iterative methods is usually based on two categories: semi-local and local convergence analysis. The semi-local convergence category is, based on the information around an initial point, to provide criteria ensuring the convergence of the method; while the local one is, based on the information around a solution, to find estimates of the radii of the convergence balls. The book is divided into two volumes. The chapters in each volume are self-contained so they can be read independently. Each chapter contains semi-local and local convergence results for single, multi-step and multi-point old and new contemporary iterative methods involving Banach, Hilbert or Euclidean valued operators. These methods are used to generate a sequence defined on the aforementioned spaces that converges with a solution of a nonlinear equation, an inverse problem or an ill-posed problem. It is worth mentioning that most problems in computational and related disciplines can be brought in the form of an equation using mathematical modelling. The solutions of equations can be found in analytical form only in special cases. Hence, it is very important to study the convergence of iterative methods. The book is a valuable tool for researchers, practitioners, graduate students, and can also be used as a textbook for seminars in all computational and related disciplines.

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À propos de l?auteur

Professor, Department of Mathematical Sciences, Cameron University, Lawton, Oklahoma, USA.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Nova Science Publishers Inc
Date d'édition
2018
Langue
anglais
ISBN 10 
1536133612
ISBN 13 
9781536133615
Reliure
Relié
Nombre de pages
441
Coordonnées du fabricant
non disponible
Personne responsable
non disponible