TY - BOOK AU - Beck,Amir TI - Introduction to nonlinear optimization: theory, algorithms, and applications with MATLAB T2 - MOS-SIAM series on optimization SN - 9781611973648 (pbk) U1 - 519.3 23 PY - 2014/// CY - Philadelphia : PB - Society for Industrial and Applied Mathematics : KW - MATLAB KW - Mathematical optimization KW - Nonlinear theories N1 - Includes bibliographical references and index; 1. Mathematical preliminaries -- 2. Optimality conditions for unconstrained optimization -- 3. Least squares -- 4. The gradient method -- 5. Newton's method -- 6. Convex sets -- 7. Convex functions -- 8. Convex optimization -- 9. Optimization over a convex set -- 10. Optimality conditions for linearly constrained problems -- 11. The KKT conditions -- 12. Duality N2 - This book provides the foundations of the theory of nonlinear optimization as well as some related algorithms and presents a variety of applications from diverse areas of applied sciences. The author combines three pillars of optimization-theoretical and algorithmic foundation, familiarity with various applications, and the ability to apply the theory and algorithms on actual problems--and rigorously and gradually builds the connection between theory, algorithms, applications, and implementation. ER -