Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications. Volume IV (Theoretical and Applied Mathematics) - Hardcover

Ioannis K. Argyros

Hardcover

ISBN 10: 1536174742 ISBN 13: 9781536174748

Publisher: Nova Science Publishers, Inc, 2020

Synopsis

The exponential growth of technology forces all disciplines to adjust accordingly, so they can meet the demands of a very dynamic world that heavily depends upon it. Therefore, mathematics cannot be an exception. In fact, mathematics should be the first to adjust and in fact it is. In this volume, which is a continuation of the previous three under the same title, we present state-of-the-art iterative methods for solving equations related to concrete problems from diverse areas such as applied mathematics, mathematical: biology, chemistry, economics, physics and also engineering to mention a few. Most of these methods are new and a few are old but still very popular. One major problem with iterative methods is that the convergence domain is small in general. We have introduced a technique that finds a smaller set than before containing the iterates leading to tighter Lipschitz functions than before. This way and under the same computational effort, we derive: weaker sufficient convergence criteria (leading to a wider choice of initial points); tighter error bounds on the distances involved (i.e., fewer iterates are needed to obtain a desired predetermined accuracy), and a more precise information on the location of the solution. These advantages are considered major achievements in computational disciplines. The volume requires knowledge of linear algebra, numerical functional analysis and familiarity with contemporary computing programing. It can be used by researchers, practitioners, senior undergraduate and graduate students as a source material or as a required textbook in the classroom.

Edition details

• Publisher: Nova Science Publishers, Inc
• Publication date: 2020
• Language: English
• ISBN 10: 1536174742
• ISBN 13: 9781536174748
• Binding: Hardcover
• Number of pages: 633