Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications -- Volume I

Ioannis K Argyros, Santhosh George, Narayan Thapa (Autoren)

Buch | Hardcover

441 Seiten

2018
Nova Science Publishers Inc (Verlag)
978-1-5361-3361-5 (ISBN)

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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.

Ioannis K. Argyros was born in 1956 in Athens, Greece. He received a B.Sc. from the University of Athens, Greece; and a M.Sc. And Ph.D. from the University of Georgia, Athens, Georgia, USA, under the supervision of Dr. Douglas N. Clark. Dr. Argyros is currently a full Professor of Mathematics at Cameron University, Lawton, OK, USA. His research interests include: Applied mathematics, Operator theory, Computational mathematics and iterative methods especially on Banach spaces. He has published more than a thousand peer reviewed papers, thirty two books and seventeen chapters in books in his area of research, computational mathematics. He is an active reviewer of a plethora of papers and books, and has received several national and international awards. He has supervised two PhD students, several MSc. and undergraduate students, and has been the external evaluator for many PhD theses, tenure and promotion applicants.

For more information, please visit our website at:Hardcover: https://www.novapublishers.com/catalog/product_info.php?products_id=64178E-book: https://www.novapublishers.com/catalog/product_info.php?products_id=64179

Erscheinungsdatum	31.07.2018
Verlagsort	New York
Sprache	englisch
Maße	180 x 260 mm
Gewicht	744 g
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	1-5361-3361-2 / 1536133612
ISBN-13	978-1-5361-3361-5 / 9781536133615
Zustand	Neuware