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This book is an introduction to nonlinear programming. It deals with the theoretical foundations and solution methods, beginning with the classical procedures and reaching up to "modern" methods like trust region methods or procedures for nonlinear and global optimization. A comprehensive bibliography including diverse web sites with information about nonlinear programming, in particular software, is presented. Without sacrificing the necessary mathematical rigor, excessive formalisms are avoided. Several examples, exercises with detailed solutions, and applications are provided, making the text adequate for individual studies. The book is written for students from the fields of applied mathematics, engineering, economy, and computation.

Nonlinear programming --- Programming (Mathematics) --- Convex optimization. --- Linear and quadratic constraints. --- Nondifferential and global optimization. --- Optimality conditions. --- Penalty methods.

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Modern statistics deals with large and complex data sets, and consequently with models containing a large number of parameters. This book presents a detailed account of recently developed approaches, including the Lasso and versions of it for various models, boosting methods, undirected graphical modeling, and procedures controlling false positive selections. A special characteristic of the book is that it contains comprehensive mathematical theory on high-dimensional statistics combined with methodology, algorithms and illustrations with real data examples. This in-depth approach highlights the methods’ great potential and practical applicability in a variety of settings. As such, it is a valuable resource for researchers, graduate students and experts in statistics, applied mathematics and computer science.

Statistical science --- Operational research. Game theory --- Mathematical statistics --- stochastische analyse --- informatietechnologie --- statistisch onderzoek --- Statistics --- Computer Science --- Smoothness of functions --- Nonconvex programming --- Least absolute deviations (Statistics) --- Linear models (Statistics) --- Mathematical statistics. --- Computer science. --- Statistical Theory and Methods. --- Probability and Statistics in Computer Science. --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Probabilities --- Sampling (Statistics) --- Informatics --- Science --- Statistical methods --- Statistique mathématique --- Modules, théorie des --- Programmation non convexe --- Modèles linéaires (Statistique) --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Statistics . --- Statistical analysis --- Statistical data --- Econometrics --- 303.0 --- 304.0 --- 305.976 --- AA / International- internationaal --- 519.2 --- Smooth functions --- Functions --- Global optimization --- Non-convex programming --- Programming (Mathematics) --- Models, Linear (Statistics) --- Mathematical models --- Absolute deviations, Least (Statistics) --- Absolute values, Least (Statistics) --- Deviations, Least absolute (Statistics) --- LAD (Statistics) --- Least absolute values (Statistics) --- Values, Least absolute (Statistics) --- Least squares --- Statistische technieken in econometrie. Wiskundige statistiek (algemene werken en handboeken) --- Zuivere statistische analyse (algemene naslagwerken). Tijdreeksen --- Algoritmen. Optimisatie --- 519.2 Probability. Mathematical statistics --- Probability. Mathematical statistics