TY - BOOK AU - Bartholomew-Biggs,Michael C TI - Nonlinear optimization with engineering applications T2 - Springer optimization and its applications SN - 9780387787220 AV - QA402.5 .B37 2008 PY - 2008///] CY - New York PB - Springer KW - Mathematical optimization KW - Nonlinear theories KW - Engineering mathematics N1 - Contents; List of Figures; List of Tables; 1 Introducing Optimization; 2 One-variable Optimization; 3 Applications in n Variables; 4 n-Variable Unconstrained Optimization; 5 Direct Search Methods; 6 Computing Derivatives; 7 The Steepest Descent Method; 8 Weak Line Searches and Convergence; 9 Newton and Newton-like Methods; 10 Quasi-Newton Methods; 11 Conjugate Gradient Methods; 12 A Summary of Unconstrained Methods; 14 Larger-Scale Problems; 15 Global Unconstrained Optimization; 16 Equality Constrained Optimization; 17 Linear Equality Constraints; 18 Penalty Function Methods; 19 Sequential Quadratic Programming; 20 Inequality Constrained Optimization; 21 Extending Equality Constraint Methods; 22 Barrier Function Methods; 23 Interior Point Methods; 24 A Summary of Constrained Methods; 25 The OPTIMA Software; References; Index ER -