Optimization on Metric and Normed Spaces - 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 Optimization on Metric and Normed Spaces write by Alexander J. Zaslavski. This book was released on 2010-08-05. Optimization on Metric and Normed Spaces available in PDF, EPUB and Kindle. "Optimization on Metric and Normed Spaces" is devoted to the recent progress in optimization on Banach spaces and complete metric spaces. Optimization problems are usually considered on metric spaces satisfying certain compactness assumptions which guarantee the existence of solutions and convergence of algorithms. This book considers spaces that do not satisfy such compactness assumptions. In order to overcome these difficulties, the book uses the Baire category approach and considers approximate solutions. Therefore, it presents a number of new results concerning penalty methods in constrained optimization, existence of solutions in parametric optimization, well-posedness of vector minimization problems, and many other results obtained in the last ten years. The book is intended for mathematicians interested in optimization and applied functional analysis.
Optimization on Metric and Normed Spaces
Optimization on Metric and Normed Spaces - 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 Optimization on Metric and Normed Spaces write by Alexander Zaslavski. This book was released on 2010-11-08. Optimization on Metric and Normed Spaces available in PDF, EPUB and Kindle. "Optimization on Metric and Normed Spaces" is devoted to the recent progress in optimization on Banach spaces and complete metric spaces. Optimization problems are usually considered on metric spaces satisfying certain compactness assumptions which guarantee the existence of solutions and convergence of algorithms. This book considers spaces that do not satisfy such compactness assumptions. In order to overcome these difficulties, the book uses the Baire category approach and considers approximate solutions. Therefore, it presents a number of new results concerning penalty methods in constrained optimization, existence of solutions in parametric optimization, well-posedness of vector minimization problems, and many other results obtained in the last ten years. The book is intended for mathematicians interested in optimization and applied functional analysis.
Classical And Modern Optimization
Classical And Modern 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 Classical And Modern Optimization write by Guillaume Carlier. This book was released on 2022-03-16. Classical And Modern Optimization available in PDF, EPUB and Kindle. The quest for the optimal is ubiquitous in nature and human behavior. The field of mathematical optimization has a long history and remains active today, particularly in the development of machine learning.Classical and Modern Optimization presents a self-contained overview of classical and modern ideas and methods in approaching optimization problems. The approach is rich and flexible enough to address smooth and non-smooth, convex and non-convex, finite or infinite-dimensional, static or dynamic situations. The first chapters of the book are devoted to the classical toolbox: topology and functional analysis, differential calculus, convex analysis and necessary conditions for differentiable constrained optimization. The remaining chapters are dedicated to more specialized topics and applications.Valuable to a wide audience, including students in mathematics, engineers, data scientists or economists, Classical and Modern Optimization contains more than 200 exercises to assist with self-study or for anyone teaching a third- or fourth-year optimization class.
Metric and normed spaces
Metric and normed spaces - 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 Metric and normed spaces write by Andreĭ Nikolaevich Kolmogorov. This book was released on 1957. Metric and normed spaces available in PDF, EPUB and Kindle.
Optimization in Function Spaces
Optimization in Function Spaces - 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 Optimization in Function Spaces write by Peter Kosmol. This book was released on 2011-02-28. Optimization in Function Spaces available in PDF, EPUB and Kindle. This is an essentially self-contained book on the theory of convex functions and convex optimization in Banach spaces, with a special interest in Orlicz spaces. Approximate algorithms based on the stability principles and the solution of the corresponding nonlinear equations are developed in this text. A synopsis of the geometry of Banach spaces, aspects of stability and the duality of different levels of differentiability and convexity is developed. A particular emphasis is placed on the geometrical aspects of strong solvability of a convex optimization problem: it turns out that this property is equivalent to local uniform convexity of the corresponding convex function. This treatise also provides a novel approach to the fundamental theorems of Variational Calculus based on the principle of pointwise minimization of the Lagrangian on the one hand and convexification by quadratic supplements using the classical Legendre-Ricatti equation on the other. The reader should be familiar with the concepts of mathematical analysis and linear algebra. Some awareness of the principles of measure theory will turn out to be helpful. The book is suitable for students of the second half of undergraduate studies, and it provides a rich set of material for a master course on linear and nonlinear functional analysis. Additionally it offers novel aspects at the advanced level. From the contents: Approximation and Polya Algorithms in Orlicz Spaces Convex Sets and Convex Functions Numerical Treatment of Non-linear Equations and Optimization Problems Stability and Two-stage Optimization Problems Orlicz Spaces, Orlicz Norm and Duality Differentiability and Convexity in Orlicz Spaces Variational Calculus
