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Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.
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An authoritative reference to an important and ubiquitous chemical linkage The amide linkage is one of the most fundamental and widespread chemical bonds in nature, underlying the properties of a vast array of organic molecules, polymers, and materials, including peptides and proteins. Arthur Greenberg, Curt Breneman, and Joel Liebman's peerless text provides comprehensive coverage of the experimental, structural, and computational findings that shed light on the chemical and physical properties of the amide linkage, as well as its emerging applications in materials and biotechnology. Chapters in The Amide Linkage highlight how this chemical bond factors in the design of enzyme inhibitors, c...
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In this book, theory of large scale optimization is introduced with case studies of real-world problems and applications of structured mathematical modeling. The large scale optimization methods are represented by various theories such as Benders’ decomposition, logic-based Benders’ decomposition, Lagrangian relaxation, Dantzig –Wolfe decomposition, multi-tree decomposition, Van Roy’ cross decomposition and parallel decomposition for mathematical programs such as mixed integer nonlinear programming and stochastic programming. Case studies of large scale optimization in supply chain management, smart manufacturing, and Industry 4.0 are investigated with efficient implementation for re...