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Autore: | Yang Xin-She |
Titolo: | Introduction to mathematical optimization [[electronic resource] ] : from linear programming to metaheuristics / / Xin-She Yang |
Pubblicazione: | Cambridge, UK, : Cambridge International Science Publishing, c2008 |
Descrizione fisica: | 1 online resource (160 p.) |
Soggetto topico: | Mathematical optimization |
Mathematical analysis | |
Note generali: | Description based upon print version of record. |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | ""Contents""; ""Preface""; ""1. Mathematical Optimization""; ""1.1 Optimization""; ""1.2 Optimality Criteria""; ""1.3 Computational Complexity""; ""1.4 NP-Complete Problems""; ""2. Norms and Hessian Matrices""; ""2.1 Vector and Matrix Norms""; ""2.2 Eigenvalues and Eigenvectors""; ""2.3 Spectral Radius of Matrices""; ""2.4 Hessian Matrix""; ""2.5 Convexity""; ""3. Root-Finding Algorithms""; ""3.1 Simple Iterations""; ""3.2 Bisection Method""; ""3.3 Newton�s Method""; ""3.4 Iteration Methods""; ""4. System of Linear Equations""; ""4.1 Linear systems""; ""4.2 Gauss Elimination"" |
""4.3 Gauss-Jordan Elimination""""4.4 LU Factorization""; ""4.5 Iteration Methods""; ""4.5.1 Jacobi Iteration Method""; ""4.5.2 Gauss-Seidel Iteration""; ""4.5.3 Relaxation Method""; ""4.6 Nonlinear Equation""; ""4.6.1 Simple Iterations""; ""4.6.2 Newton-Raphson Method""; ""5. Unconstrained Optimization""; ""5.1 Univariate Functions""; ""5.2 Multivariate Functions""; ""5.3 Gradient-Based Methods""; ""5.3.1 Newton�s Method""; ""5.3.2 Steepest Descent Method""; ""5.4 Hooke-Jeeves Pattern Search""; ""6.Linear Mathematical Programming""; ""6.1 Linear Programming""; ""6.2 Simplex Method"" | |
""6.2.1 Basic Procedure""""6.2.2 Augmented Form""; ""6.2.3 A Case Study""; ""7. Nonlinear Optimization""; ""7.1 Penalty Method""; ""7.2 Lagrange Multipliers""; ""7.3 Kuhn-Tucker Conditions""; ""7.4 No Free Lunch Theorems""; ""8. Tabu Search""; ""8.1 Tabu Search""; ""8.2 Travelling Salesman Problem""; ""8.3 Tabu Search for TSP""; ""9. Ant Colony Optimization""; ""9.1 Behaviour of Ants""; ""9.2 Ant Colony Optimization""; ""9.3 Double Bridge Problem""; ""9.4 Multi-Peak Functions""; ""10. Particle Swarm Optimization""; ""10.1 Swarm Intelligence""; ""10.2 PSO algorithms""; ""10.3 Accelerated PSO"" | |
""10.4 Multimodal Functions""""10.5 Implementation""; ""10.6 Constraints""; ""11. Simulated Annealing""; ""11.1 Fundamental Concepts""; ""11.2 Choice of Parameters""; ""11.3 SA Algorithm""; ""11.4 Implementation""; ""12. Multiobjective Optimization""; ""12.1 Pareto Optimality""; ""12.2 Weighted Sum Method""; ""12.3 Utility Method""; ""12.4 Metaheuristic Search""; ""12.5 Other Algorithms""; ""Bibliography""; ""Index"" | |
Titolo autorizzato: | Introduction to mathematical optimization |
ISBN: | 1-907343-66-0 |
1-904602-91-6 | |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910814529203321 |
Lo trovi qui: | Univ. Federico II |
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