TY - BOOK AU - AU - ED - SpringerLink (Online service) TI - Optimization Theory and Methods: Nonlinear Programming T2 - Springer Optimization and Its Applications SN - 9780387249766 AV - QA402.5-402.6 U1 - 519.6 23 PY - 2006/// CY - Boston, MA PB - Springer US KW - Mathematics KW - Computer science KW - Numerical analysis KW - Mathematical optimization KW - Operations research KW - Optimization KW - Numerical Analysis KW - Operations Research, Mathematical Programming KW - Computational Science and Engineering N1 - Line Search -- Newtons Methods -- Conjugate Gradient Method -- Quasi-Newton Methods -- Trust-Region Methods and Conic Model Methods -- Solving Nonlinear Least-Squares Problems -- Theory of Constrained Optimization -- Quadratic Programming -- Penalty Function Methods -- Feasible Direction Methods -- Sequential Quadratic Programming -- Trust-Region Methods for Constrained Problems -- Nonsmooth Optimization; ZDB-2-SMA N2 - This book, a result of the authors teaching and research experience in various universities and institutes over the past ten years, can be used as a textbook for an optimization course for graduates and senior undergraduates. It systematically describes optimization theory and several powerful methods, including recent results. For most methods, the authors discuss an ideas motivation, study the derivation, establish the global and local convergence, describe algorithmic steps, and discuss the numerical performance. The book deals with both theory and algorithms of optimization concurrently. It also contains an extensive bibliography with 366 references. Finally, apart from its use for teaching, Optimization Theory and Methods is also very beneficial for doing research. Audience This book is intended for senior students, graduates, teachers, and researchers in optimization, operations research, computational mathematics, applied mathematics, and some engineering and economics. It will also be useful for scientists in engineering and economics UR - http://dx.doi.org/10.1007/b106451 ER -