03778nam a22004455i 4500 978-0-387-78723-7 DE-He213 20260521092007.0 cr nn 008mamaa 100301s2008 xxu| s |||| 0|eng d 9780387787237 99780387787237 10.1007/978-0-387-78723-7 doi Bartholomew-Biggs, Michael. author. Nonlinear Optimization with Engineering Applications [electronic resource] / by Michael Bartholomew-Biggs. Boston, MA : Springer US, 2008. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Optimization and Its Applications, 1931-6828 ; 19 Introducing Optimization -- One-variable Optimization -- Applications in n Variables -- n-Variable Unconstrained Optimization -- Direct Search Methods -- Computing Derivatives -- The Steepest Descent Method -- Weak Line Searches and Convergence -- Newton and Newton-like Methods -- Quasi-Newton Methods -- Conjugate Gradient Methods -- ASummary of Unconstrained Methods -- Optimization with Restrictions -- Larger-Scale Problems -- Global Unconstrained Optimization -- Equality Constrained Optimization -- Linear Equality Constraints -- Penalty Function Methods -- Sequential Quadratic Programming -- Inequality Constrained Optimization -- Extending Equality Constraint Methods -- Barrier Function Methods -- Interior Point Methods -- A Summary of Constrained Methods -- The OPTIMA Software. This textbook examines a broad range of problems in science and engineering, describing key numerical methods applied to real life. The case studies presented are in such areas as data fitting, vehicle route planning and optimal control, scheduling and resource allocation, sensitivity calculations and worst-case analysis. Among the main topics covered: * one-variable optimization - optimality conditions, direct search and gradient * unconstrained optimization in n variables - solution methods including Nelder and Mead simplex, steepest descent, Newton, Gauss-Newton, and quasi-Newton techniques, trust regions and conjugate gradients * constrained optimization in n variables - solution methods including reduced-gradients, penalty and barrier methods, sequential quadratic programming, and interior point techniques * an introduction to global optimization * an introduction to automatic differentiation Chapters are self-contained with exercises provided at the end of most sections. Nonlinear Optimization with Engineering Applications is ideal for self-study and classroom use in engineering courses at the senior undergraduate or graduate level. The book will also appeal to postdocs and advanced researchers interested in the development and use of optimization algorithms. Also by the author: Nonlinear Optimization with Financial Applications, ISBN: 978-1-4020-8110-1, (c)2005, Springer. MATHEMATICS. MATHEMATICAL OPTIMIZATION. OPERATIONS RESEARCH. MATHEMATICS. OPTIMIZATION. CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION. OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING. SpringerLink (Online service) Springer eBooks Printed edition: 9780387787220 Springer Optimization and Its Applications, 1931-6828 ; 19 http://dx.doi.org/10.1007/978-0-387-78723-7 Ver el texto completo en las instalaciones del CICY ZDB-2-SMA ddc ER 35037 35037 0 0 ddc 0 0 LE CICY CICY EL 2025-10-06 0 2025-10-06 08:44:19 2025-10-06 ER