Advances on Iterative Procedures
Nova Science Publishers Inc (Verlag)
978-1-61209-522-6 (ISBN)
The most commonly used solutions methods are iterative, when starting from one or several initial approximations a sequence is constructed, which converges to a solution of the equation. Iteration methods are applied also for solving optimisation problems. In such cases the iteration sequences converge to an optimal solution of the problem at hand. Since all of these methods have the same recursive structure, they can be introduced and discussed in a general framework. This book examines new results that find applications in engineering, in dynamic economic systems, in input-output systems, in the solution of non-linear and linear differential equations and optimisation problems.
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.
Preface; Newton's method (NM); Secant method (SM); Newton-like methods (NLM); Inexact Newton-like methods (INLM); Gauss, Broyden & Ulm's methods; Methods of high order of convergence; The mesh independence principle & (NM); Regular smoothness & continuous modified Newton methods; Successive substitutions; Variational inequalities & function splitting; Bibliography; Glossary of Symbols; Index.
| Verlagsort | New York |
|---|---|
| Sprache | englisch |
| Maße | 260 x 180 mm |
| Gewicht | 796 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 1-61209-522-4 / 1612095224 |
| ISBN-13 | 978-1-61209-522-6 / 9781612095226 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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