Nonlinear Analysis and Global Optimization

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Release : 2021-02-26
Genre : Mathematics
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Book Rating : 327/5 ( reviews)

Nonlinear Analysis and Global Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Analysis and Global Optimization write by Themistocles M. Rassias. This book was released on 2021-02-26. Nonlinear Analysis and Global Optimization available in PDF, EPUB and Kindle. This contributed volume discusses aspects of nonlinear analysis in which optimization plays an important role, as well as topics which are applied to the study of optimization problems. Topics include set-valued analysis, mixed concave-convex sub-superlinear Schroedinger equation, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items, generalized equilibrium problems, artificial topologies on a relativistic spacetime, equilibrium points in the restricted three-body problem, optimization models for networks of organ transplants, network curvature measures, error analysis through energy minimization and stability problems, Ekeland variational principles in 2-local Branciari metric spaces, frictional dynamic problems, norm estimates for composite operators, operator factorization and solution of second-order nonlinear difference equations, degenerate Kirchhoff-type inclusion problems, and more.

Nonlinear Analysis

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Release : 2014-06-05
Genre : Mathematics
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Book Rating : 833/5 ( reviews)

Nonlinear Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Analysis write by Qamrul Hasan Ansari. This book was released on 2014-06-05. Nonlinear Analysis available in PDF, EPUB and Kindle. Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. It is immensely helpful for young graduates and researchers who are pursuing research in this field, as it provides abundant research resources for researchers and post-doctoral fellows. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering.

Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming

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Release : 2013-04-17
Genre : Mathematics
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Book Rating : 324/5 ( reviews)

Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming write by Mohit Tawarmalani. This book was released on 2013-04-17. Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming available in PDF, EPUB and Kindle. Interest in constrained optimization originated with the simple linear pro gramming model since it was practical and perhaps the only computationally tractable model at the time. Constrained linear optimization models were soon adopted in numerous application areas and are perhaps the most widely used mathematical models in operations research and management science at the time of this writing. Modelers have, however, found the assumption of linearity to be overly restrictive in expressing the real-world phenomena and problems in economics, finance, business, communication, engineering design, computational biology, and other areas that frequently demand the use of nonlinear expressions and discrete variables in optimization models. Both of these extensions of the linear programming model are NP-hard, thus representing very challenging problems. On the brighter side, recent advances in algorithmic and computing technology make it possible to re visit these problems with the hope of solving practically relevant problems in reasonable amounts of computational time. Initial attempts at solving nonlinear programs concentrated on the de velopment of local optimization methods guaranteeing globality under the assumption of convexity. On the other hand, the integer programming liter ature has concentrated on the development of methods that ensure global optima. The aim of this book is to marry the advancements in solving nonlinear and integer programming models and to develop new results in the more general framework of mixed-integer nonlinear programs (MINLPs) with the goal of devising practically efficient global optimization algorithms for MINLPs.

Proceedings of the International Conference on Nonlinear Analysis and Optimization

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Release : 2009
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Book Rating : /5 ( reviews)

Proceedings of the International Conference on Nonlinear Analysis and Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Proceedings of the International Conference on Nonlinear Analysis and Optimization write by International Conference on Nonlinear Analysis and Optimization. This book was released on 2009. Proceedings of the International Conference on Nonlinear Analysis and Optimization available in PDF, EPUB and Kindle.

Introduction to Nonlinear and Global Optimization

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Release : 2010-04-27
Genre : Mathematics
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Book Rating : 702/5 ( reviews)

Introduction to Nonlinear and Global Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Nonlinear and Global Optimization write by Eligius M.T. Hendrix. This book was released on 2010-04-27. Introduction to Nonlinear and Global Optimization available in PDF, EPUB and Kindle. This self-contained text provides a solid introduction to global and nonlinear optimization, providing students of mathematics and interdisciplinary sciences with a strong foundation in applied optimization techniques. The book offers a unique hands-on and critical approach to applied optimization which includes the presentation of numerous algorithms, examples, and illustrations, designed to improve the reader’s intuition and develop the analytical skills needed to identify optimization problems, classify the structure of a model, and determine whether a solution fulfills optimality conditions.