TY - BOOK AU - Beck,Amir TI - Introduction to nonlinear optimization: theory, algorithms and applications with Python and MATLAB T2 - MOS-SIAM series on optimization SN - 9781611977615 U1 - 519.7 PY - 2023/// CY - Philadelphia PB - Society for Industrial and Applied Mathematics KW - MATLAB KW - Mathematical optimization KW - Nonlinear theories KW - Functional analysis KW - msc KW - Miscellaneous applications of functional analysis KW - Applications in optimization, convex analysis, mathematical programming, economics KW - Calculus of variations and optimal control; optimization KW - Optimality conditions KW - None of the above, but in this section N1 - Includes bibliographical references (pages 434-347) and index; Mathematical preliminaries -- Optimality conditions for unconstrained optimization -- Least squares -- The gradient method -- Newton's method -- Convex sets -- Convex functions -- Convex optimization -- Optimization over a convex set -- Optimality conditions for linearly constrined problems -- The KKT conditions -- Duality N2 - "This book is a modern introduction to the area of optimization. Its objective is to provide the foundations of theory and algorithms of nonlinear optimization, as well as to present a variety of applications from diverse areas of applied sciences"-- ER -