An Introduction To Convex Optimization Theory And Applications
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An Introduction to Convex Optimization: Theory and Applications
Author: Pasquale De Marco
language: en
Publisher: Pasquale De Marco
Release Date: 2025-07-18
ConvexOptimization is a powerful tool that has applications in a wide range of fields, including engineering, computer science, economics, statistics, and more. This book provides a clear and concise introduction to convexOptimization, making it a valuable resource for students, practitioners, and anyone else interested in learning more about this important topic. The book begins with an explanation of the basic building blocks of convex sets and functions. It then moves on to discuss optimality conditions and duality theory, which are essential tools for understanding and characterizing convexOptimization problems. The book also provides a detailed treatment of several important classes of convexOptimization problems, including linear, quadratic, and semidefinitOptimization problems. In addition to the core material, the book also includes a number of applications of convexOptimization to real-world problems. These applications are drawn from a wide range of fields, including engineering, computer science, economics, and statistics. The book also includes a number of end-of-chapel problems to help the reader test their understanding of the material. This book is an excellent resource for anyone interested in learning more about convexOptimization. It is written in a clear and concise style, and it provides a thorough treatment of the subject. The book is also very well-organized, making it easy for the reader to find the information they are looking for. Whether you are a student, a practitioner, or simply someone who is interested in learning more about convexOptimization, this book is a valuable resource. It provides a clear and concise introduction to the subject, and it is sure to help you develop a deep understanding of this powerful tool. If you like this book, write a review!
Convex Analysis and Nonlinear Optimization
Author: Jonathan M. Borwein
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-06-29
Optimization is a rich and thriving mathematical discipline. The theory underlying current computational optimization techniques grows ever more sophisticated. The powerful and elegant language of convex analysis unifies much of this theory. The aim of this book is to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. It can serve as a teaching text, at roughly the level of first year graduate students. While the main body of the text is self-contained, each section concludes with an often extensive set of optional exercises. The new edition adds material on semismooth optimization, as well as several new proofs that will make this book even more self-contained.
New Perspectives in Operations Research and Management Science
This book presents innovative operations research applications in business, specifically industrial engineering and its sub-disciplines. It investigates new perspectives in operations research and management science with regard to research methods, the research context, and industrial engineering, offering readers a broad range of new approaches to management problems. The book features the latest work of researchers who have worked with Professor Fusun Ulengin or built upon her work in their academic careers. Written in honor of Prof. Ulengin, this book was edited by her former Ph.D. students, who are now experts in operations research, multiple criteria decision making, competitiveness, logistics, and supply chain management. Prof. Ulengin’s impact in academia is visible in the range of topics and methodologies featured in this book: Location and transportation problems, competitiveness of nations, food supply chains, debt collection, mathematical modelling, multiple criteria decision making, data envelopment analysis, random forests, and Bayesian networks.