Applied engineering mathematics [[electronic resource] /] / Xin-She Yang
| Applied engineering mathematics [[electronic resource] /] / Xin-She Yang |
| Autore | Yang Xin-She |
| Pubbl/distr/stampa | Cambridge, UK, : Cambridge International Science Publishing, c2007 |
| Descrizione fisica | 1 online resource (333 p.) |
| Soggetto topico |
Engineering mathematics
Mathematical analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-907343-65-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910456730403321 |
Yang Xin-She
|
||
| Cambridge, UK, : Cambridge International Science Publishing, c2007 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Applied engineering mathematics [[electronic resource] /] / Xin-She Yang
| Applied engineering mathematics [[electronic resource] /] / Xin-She Yang |
| Autore | Yang Xin-She |
| Pubbl/distr/stampa | Cambridge, UK, : Cambridge International Science Publishing, c2007 |
| Descrizione fisica | 1 online resource (333 p.) |
| Soggetto topico |
Engineering mathematics
Mathematical analysis |
| ISBN | 1-907343-65-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910781088803321 |
Yang Xin-She
|
||
| Cambridge, UK, : Cambridge International Science Publishing, c2007 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Benchmarks and Hybrid Algorithms in Optimization and Applications / / edited by Xin-She Yang
| Benchmarks and Hybrid Algorithms in Optimization and Applications / / edited by Xin-She Yang |
| Autore | Yang Xin-She |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (250 pages) |
| Disciplina | 519.6 |
| Collana | Springer Tracts in Nature-Inspired Computing |
| Soggetto topico |
Computational intelligence
Mathematical optimization Artificial intelligence Computational Intelligence Optimization Artificial Intelligence |
| ISBN | 981-9939-70-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Nature-Inspired Algorithms: Overview and Open Problems -- 2. Hybrid algorithms: Components, Hybridization and Examples -- 3. Role of Benchmarks in Optimization -- 4. Travelling Salesman Problems: Symmetric and Asymmetric Cases -- 5. Scheduling Problems: Benchmarks and Implementation -- 6. Active Learning Solution for Semantic Labelling of Earth Observation Satellite Images -- 7. Development of an Ensemble Modelling Framework for Data Analytics in Supply Chain Management -- 8. An Application of Data Mining to Build the OD Matrix in Developing Countries: An Argentinean Case Study -- 9. Deep Learning-based Efficient Customer Segmentation for Online Retail Business -- 10. Application of a Routing Model with a Time Limit for the Collection of RSU in an Argentinian City -- 11. Network Weakness Detection: Case Studies -- 12. Unknown Target Searching by Swarm Robots: A Case Study. |
| Record Nr. | UNINA-9910768469303321 |
Yang Xin-She
|
||
| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Engineering mathematics with examples and applications / / Xin-She Yang
| Engineering mathematics with examples and applications / / Xin-She Yang |
| Autore | Yang Xin-She |
| Pubbl/distr/stampa | London, [England] : , : Academic Press, , [2017] |
| Descrizione fisica | 1 online resource (402 pages) : illustrations, tables |
| Disciplina | 510.246 |
| Soggetto topico | Engineering mathematics |
| ISBN | 0-12-809902-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910157440803321 |
Yang Xin-She
|
||
| London, [England] : , : Academic Press, , [2017] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Engineering optimization [[electronic resource] ] : an introduction with metaheuristic applications / / Xin-She Yang
| Engineering optimization [[electronic resource] ] : an introduction with metaheuristic applications / / Xin-She Yang |
| Autore | Yang Xin-She |
| Pubbl/distr/stampa | Hoboken, NJ, : Wiley, c2010 |
| Descrizione fisica | 1 online resource (377 p.) |
| Disciplina | 620.001/5196 |
| Soggetto topico |
Heuristic programming
Mathematical optimization Engineering mathematics |
| ISBN |
1-282-70777-9
9786612707773 0-470-64042-1 0-470-64041-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Engineering Optimization: An Introduction with Metaheuristic Applications; CONTENTS; List of Figures; Preface; Acknowledgments; Introduction; PART I FOUNDATIONS OF OPTIMIZATION AND ALGORITHMS; 1 A Brief History of Optimization; 1.1 Before 1900; 1.2 Twentieth Century; 1.3 Heuristics and Metaheuristics; Exercises; 2 Engineering Optimization; 2.1 Optimization; 2.2 Type of Optimization; 2.3 Optimization Algorithms; 2.4 Metaheuristics; 2.5 Order Notation; 2.6 Algorithm Complexity; 2.7 No Free Lunch Theorems; Exercises; 3 Mathematical Foundations; 3.1 Upper and Lower Bounds; 3.2 Basic Calculus
3.3 Optimality3.3.1 Continuity and Smoothness; 3.3.2 Stationary Points; 3.3.3 Optimality Criteria; 3.4 Vector and Matrix Norms; 3.5 Eigenvalues and Definiteness; 3.5.1 Eigenvalues; 3.5.2 Definiteness; 3.6 Linear and Affine Functions; 3.6.1 Linear Functions; 3.6.2 Affine Functions; 3.6.3 Quadratic Form; 3.7 Gradient and Hessian Matrices; 3.7.1 Gradient; 3.7.2 Hessian; 3.7.3 Function approximations; 3.7.4 Optimality of multivariate functions; 3.8 Convexity; 3.8.1 Convex Set; 3.8.2 Convex Functions; Exercises; 4 Classic Optimization Methods I; 4.1 Unconstrained Optimization 4.2 Gradient-Based Methods4.2.1 Newton's Method; 4.2.2 Steepest Descent Method; 4.2.3 Line Search; 4.2.4 Conjugate Gradient Method; 4.3 Constrained Optimization; 4.4 Linear Programming; 4.5 Simplex Method; 4.5.1 Basic Procedure; 4.5.2 Augmented Form; 4.6 Nonlinear Optimization; 4.7 Penalty Method; 4.8 Lagrange Multipliers; 4.9 Karush-Kuhn-Tucker Conditions; Exercises; 5 Classic Optimization Methods II; 5.1 BFGS Method; 5.2 Nelder-Mead Method; 5.2.1 A Simplex; 5.2.2 Nelder-Mead Downhill Simplex; 5.3 Trust-Region Method; 5.4 Sequential Quadratic Programming; 5.4.1 Quadratic Programming 5.4.2 Sequential Quadratic ProgrammingExercises; 6 Convex Optimization; 6.1 KKT Conditions; 6.2 Convex Optimization Examples; 6.3 Equality Constrained Optimization; 6.4 Barrier Functions; 6.5 Interior-Point Methods; 6.6 Stochastic and Robust Optimization; Exercises; 7 Calculus of Variations; 7.1 Euler-Lagrange Equation; 7.1.1 Curvature; 7.1.2 Euler-Lagrange Equation; 7.2 Variations with Constraints; 7.3 Variations for Multiple Variables; 7.4 Optimal Control; 7.4.1 Control Problem; 7.4.2 Pontryagin's Principle; 7.4.3 Multiple Controls; 7.4.4 Stochastic Optimal Control; Exercises 8 Random Number Generators8.1 Linear Congruential Algorithms; 8.2 Uniform Distribution; 8.3 Other Distributions; 8.4 Metropolis Algorithms; Exercises; 9 Monte Carlo Methods; 9.1 Estimating π; 9.2 Monte Carlo Integration; 9.3 Importance of Sampling; Exercises; 10 Random Walk and Markov Chain; 10.1 Random Process; 10.2 Random Walk; 10.2.1 ID Random Walk; 10.2.2 Random Walk in Higher Dimensions; 10.3 Lévy Flights; 10.4 Markov Chain; 10.5 Markov Chain Monte Carlo; 10.5.1 Metropolis-Hastings Algorithms; 10.5.2 Random Walk; 10.6 Markov Chain and Optimisation; Exercises PART II METAHEURISTIC ALGORITHMS |
| Record Nr. | UNINA-9910140843303321 |
Yang Xin-She
|
||
| Hoboken, NJ, : Wiley, c2010 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Engineering optimization : an introduction with metaheuristic applications / / Xin-She Yang
| Engineering optimization : an introduction with metaheuristic applications / / Xin-She Yang |
| Autore | Yang Xin-She |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hoboken, NJ, : Wiley, c2010 |
| Descrizione fisica | 1 online resource (377 p.) |
| Disciplina | 620.001/5196 |
| Soggetto topico |
Heuristic programming
Mathematical optimization Engineering mathematics |
| ISBN |
9786612707773
9781282707771 1282707779 9780470640425 0470640421 9780470640418 0470640413 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Engineering Optimization: An Introduction with Metaheuristic Applications; CONTENTS; List of Figures; Preface; Acknowledgments; Introduction; PART I FOUNDATIONS OF OPTIMIZATION AND ALGORITHMS; 1 A Brief History of Optimization; 1.1 Before 1900; 1.2 Twentieth Century; 1.3 Heuristics and Metaheuristics; Exercises; 2 Engineering Optimization; 2.1 Optimization; 2.2 Type of Optimization; 2.3 Optimization Algorithms; 2.4 Metaheuristics; 2.5 Order Notation; 2.6 Algorithm Complexity; 2.7 No Free Lunch Theorems; Exercises; 3 Mathematical Foundations; 3.1 Upper and Lower Bounds; 3.2 Basic Calculus
3.3 Optimality3.3.1 Continuity and Smoothness; 3.3.2 Stationary Points; 3.3.3 Optimality Criteria; 3.4 Vector and Matrix Norms; 3.5 Eigenvalues and Definiteness; 3.5.1 Eigenvalues; 3.5.2 Definiteness; 3.6 Linear and Affine Functions; 3.6.1 Linear Functions; 3.6.2 Affine Functions; 3.6.3 Quadratic Form; 3.7 Gradient and Hessian Matrices; 3.7.1 Gradient; 3.7.2 Hessian; 3.7.3 Function approximations; 3.7.4 Optimality of multivariate functions; 3.8 Convexity; 3.8.1 Convex Set; 3.8.2 Convex Functions; Exercises; 4 Classic Optimization Methods I; 4.1 Unconstrained Optimization 4.2 Gradient-Based Methods4.2.1 Newton's Method; 4.2.2 Steepest Descent Method; 4.2.3 Line Search; 4.2.4 Conjugate Gradient Method; 4.3 Constrained Optimization; 4.4 Linear Programming; 4.5 Simplex Method; 4.5.1 Basic Procedure; 4.5.2 Augmented Form; 4.6 Nonlinear Optimization; 4.7 Penalty Method; 4.8 Lagrange Multipliers; 4.9 Karush-Kuhn-Tucker Conditions; Exercises; 5 Classic Optimization Methods II; 5.1 BFGS Method; 5.2 Nelder-Mead Method; 5.2.1 A Simplex; 5.2.2 Nelder-Mead Downhill Simplex; 5.3 Trust-Region Method; 5.4 Sequential Quadratic Programming; 5.4.1 Quadratic Programming 5.4.2 Sequential Quadratic ProgrammingExercises; 6 Convex Optimization; 6.1 KKT Conditions; 6.2 Convex Optimization Examples; 6.3 Equality Constrained Optimization; 6.4 Barrier Functions; 6.5 Interior-Point Methods; 6.6 Stochastic and Robust Optimization; Exercises; 7 Calculus of Variations; 7.1 Euler-Lagrange Equation; 7.1.1 Curvature; 7.1.2 Euler-Lagrange Equation; 7.2 Variations with Constraints; 7.3 Variations for Multiple Variables; 7.4 Optimal Control; 7.4.1 Control Problem; 7.4.2 Pontryagin's Principle; 7.4.3 Multiple Controls; 7.4.4 Stochastic Optimal Control; Exercises 8 Random Number Generators8.1 Linear Congruential Algorithms; 8.2 Uniform Distribution; 8.3 Other Distributions; 8.4 Metropolis Algorithms; Exercises; 9 Monte Carlo Methods; 9.1 Estimating π; 9.2 Monte Carlo Integration; 9.3 Importance of Sampling; Exercises; 10 Random Walk and Markov Chain; 10.1 Random Process; 10.2 Random Walk; 10.2.1 ID Random Walk; 10.2.2 Random Walk in Higher Dimensions; 10.3 Lévy Flights; 10.4 Markov Chain; 10.5 Markov Chain Monte Carlo; 10.5.1 Metropolis-Hastings Algorithms; 10.5.2 Random Walk; 10.6 Markov Chain and Optimisation; Exercises PART II METAHEURISTIC ALGORITHMS |
| Record Nr. | UNINA-9910814521403321 |
Yang Xin-She
|
||
| Hoboken, NJ, : Wiley, c2010 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to computational engineering with Matlab [[electronic resource] /] / Xin-She Yang
| Introduction to computational engineering with Matlab [[electronic resource] /] / Xin-She Yang |
| Autore | Yang Xin-She |
| Pubbl/distr/stampa | Cambridge, : Cambridge International Science Publishing, 2006 |
| Descrizione fisica | 1 online resource (262 p.) |
| Disciplina | 620.00151 |
| Soggetto topico |
Engineering mathematics - Data processing
Mathematical analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-904602-98-3
1-907343-45-8 1-4416-3884-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""Acknowledgements""; ""Summary""; ""About the Author""; ""Contents""; ""1. Introduction""; ""1.1 Computational Engineering""; ""1.2 DIY Philosophy""; ""1.3 How to Use the Book""; ""2. Vectors and Matrices""; ""2.1 Vector Analysis""; ""2.1.1 Vectors""; ""2.1.2 Dot Product and Norm""; ""2.1.3 Cross Product""; ""2.1.4 Differentiation of Vectors""; ""2.1.5 Three Basic Operators""; ""2.1.6 Some Important Theorems""; ""2.2 Matrix Algebra""; ""2.2.1 Matrix""; ""2.2.2 Determinant""; ""2.2.3 Inverse""; ""2.2.4 Solution of linear systems""; ""3. Differential Equations""
""3.1 Ordinary Differential Equations""""3.1.1 First Order ODE""; ""3.1.2 Higher Order ODEs""; ""3.2 Partial Differential Equations""; ""3.2.1 First Order Partial Differential Equation""; ""3.2.2 Classification of Second-Order Equations""; ""3.2.3 Classic PDEs""; ""3.2.4 Other PDEs""; ""4. Finite Difference Method""; ""4.1 Introduction""; ""4.2 Integration of ODEs""; ""4.2.1 Euler Scheme""; ""4.2.2 Leap-Frog Method""; ""4.2.3 Runge-Kutta Method""; ""4.2.4 Belousov-Zhabotinsky Oscillator""; ""5. Hyperbolic Equations""; ""5.1 First-Order Hyperbolic Equation""; ""5.2 Second Order Wave Equation"" ""5.3 Sine-Gordon Equation""""6. Parabolic/Elliptical Equations""; ""6.1 Parabolic Equation""; ""6.2 Elliptical Equation""; ""7. Pattern Formation""; ""7.1 Pattern Formation""; ""7.2 Reaction-Diffusion System""; ""8. Finite Volume Method""; ""8.1 Introduction""; ""8.2 Elliptic Equations""; ""8.3 Parabolic Equations""; ""8.4 Hyperbolic Equations""; ""8.5 Heat Conduction: A Case Study""; ""9. Finite Element Method""; ""9.1 Finite Element Formulation""; ""9.1.1 Weak Formulation""; ""9.1.2 Shape Functions""; ""9.2 Elasticity""; ""9.2.1 Plane Stress and Plane Strain"" ""9.2.2 Plane Stress and Plane Strain""""9.2.3 Implementation""; ""10. Heat Conduction""; ""10.1 Basic Formulation""; ""10.2 Element-by-Element Assembly""; ""10.3 Application of Boundary Conditions""; ""10.4 A Simple Program: 1-D Heat Conduction""; ""10.5 2-D Heat Transfer""; ""11. Time-Dependent Problems""; ""11.1 The Time Dimension""; ""11.2 Time-Stepping""; ""11.3 1-D Transient Heat Transfer""; ""11.4 Wave Equation""; ""12. Optimization in Engineering""; ""12.1 Introduction""; ""12.2 Bioinspired Algorithms""; ""12.2.1 Genetic Algorithms""; ""12.2.2 Neural Networks"" ""12.2.3 Virtual Bee Algorithms""""12.2.4 Cellular Automata""; ""12.2.5 Optimization""; ""12.2.6 No Free Lunch Theorems""; ""12.3 Engineering Optimization""; ""12.3.1 Function and Multilevel Optimization""; ""12.3.2 Multi-Peaked Functions""; ""12.3.3 Inverse Analysis""; ""13. Cellular Automata""; ""13.1 Introduction""; ""13.2 Cellular Automata""; ""13.2.1 Fundamentals of Cellular Automaton""; ""13.2.2 Finite State Cellular Automata""; ""13.2.3 Stochastic Cellular Automata""; ""13.2.4 Reversible Cellular Automata""; ""13.3 Cellular Automata and PDEs"" ""13.3.1 Rule-Based and Equation-Based ?"" |
| Record Nr. | UNINA-9910455731803321 |
Yang Xin-She
|
||
| Cambridge, : Cambridge International Science Publishing, 2006 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to computational engineering with Matlab [[electronic resource] /] / Xin-She Yang
| Introduction to computational engineering with Matlab [[electronic resource] /] / Xin-She Yang |
| Autore | Yang Xin-She |
| Pubbl/distr/stampa | Cambridge, : Cambridge International Science Publishing, 2006 |
| Descrizione fisica | 1 online resource (262 p.) |
| Disciplina | 620.00151 |
| Soggetto topico |
Engineering mathematics - Data processing
Mathematical analysis |
| ISBN |
1-904602-98-3
1-907343-45-8 1-4416-3884-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""Acknowledgements""; ""Summary""; ""About the Author""; ""Contents""; ""1. Introduction""; ""1.1 Computational Engineering""; ""1.2 DIY Philosophy""; ""1.3 How to Use the Book""; ""2. Vectors and Matrices""; ""2.1 Vector Analysis""; ""2.1.1 Vectors""; ""2.1.2 Dot Product and Norm""; ""2.1.3 Cross Product""; ""2.1.4 Differentiation of Vectors""; ""2.1.5 Three Basic Operators""; ""2.1.6 Some Important Theorems""; ""2.2 Matrix Algebra""; ""2.2.1 Matrix""; ""2.2.2 Determinant""; ""2.2.3 Inverse""; ""2.2.4 Solution of linear systems""; ""3. Differential Equations""
""3.1 Ordinary Differential Equations""""3.1.1 First Order ODE""; ""3.1.2 Higher Order ODEs""; ""3.2 Partial Differential Equations""; ""3.2.1 First Order Partial Differential Equation""; ""3.2.2 Classification of Second-Order Equations""; ""3.2.3 Classic PDEs""; ""3.2.4 Other PDEs""; ""4. Finite Difference Method""; ""4.1 Introduction""; ""4.2 Integration of ODEs""; ""4.2.1 Euler Scheme""; ""4.2.2 Leap-Frog Method""; ""4.2.3 Runge-Kutta Method""; ""4.2.4 Belousov-Zhabotinsky Oscillator""; ""5. Hyperbolic Equations""; ""5.1 First-Order Hyperbolic Equation""; ""5.2 Second Order Wave Equation"" ""5.3 Sine-Gordon Equation""""6. Parabolic/Elliptical Equations""; ""6.1 Parabolic Equation""; ""6.2 Elliptical Equation""; ""7. Pattern Formation""; ""7.1 Pattern Formation""; ""7.2 Reaction-Diffusion System""; ""8. Finite Volume Method""; ""8.1 Introduction""; ""8.2 Elliptic Equations""; ""8.3 Parabolic Equations""; ""8.4 Hyperbolic Equations""; ""8.5 Heat Conduction: A Case Study""; ""9. Finite Element Method""; ""9.1 Finite Element Formulation""; ""9.1.1 Weak Formulation""; ""9.1.2 Shape Functions""; ""9.2 Elasticity""; ""9.2.1 Plane Stress and Plane Strain"" ""9.2.2 Plane Stress and Plane Strain""""9.2.3 Implementation""; ""10. Heat Conduction""; ""10.1 Basic Formulation""; ""10.2 Element-by-Element Assembly""; ""10.3 Application of Boundary Conditions""; ""10.4 A Simple Program: 1-D Heat Conduction""; ""10.5 2-D Heat Transfer""; ""11. Time-Dependent Problems""; ""11.1 The Time Dimension""; ""11.2 Time-Stepping""; ""11.3 1-D Transient Heat Transfer""; ""11.4 Wave Equation""; ""12. Optimization in Engineering""; ""12.1 Introduction""; ""12.2 Bioinspired Algorithms""; ""12.2.1 Genetic Algorithms""; ""12.2.2 Neural Networks"" ""12.2.3 Virtual Bee Algorithms""""12.2.4 Cellular Automata""; ""12.2.5 Optimization""; ""12.2.6 No Free Lunch Theorems""; ""12.3 Engineering Optimization""; ""12.3.1 Function and Multilevel Optimization""; ""12.3.2 Multi-Peaked Functions""; ""12.3.3 Inverse Analysis""; ""13. Cellular Automata""; ""13.1 Introduction""; ""13.2 Cellular Automata""; ""13.2.1 Fundamentals of Cellular Automaton""; ""13.2.2 Finite State Cellular Automata""; ""13.2.3 Stochastic Cellular Automata""; ""13.2.4 Reversible Cellular Automata""; ""13.3 Cellular Automata and PDEs"" ""13.3.1 Rule-Based and Equation-Based ?"" |
| Record Nr. | UNINA-9910780750203321 |
Yang Xin-She
|
||
| Cambridge, : Cambridge International Science Publishing, 2006 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to mathematical optimization [[electronic resource] ] : from linear programming to metaheuristics / / Xin-She Yang
| Introduction to mathematical optimization [[electronic resource] ] : from linear programming to metaheuristics / / Xin-She Yang |
| Autore | Yang Xin-She |
| Pubbl/distr/stampa | Cambridge, UK, : Cambridge International Science Publishing, c2008 |
| Descrizione fisica | 1 online resource (160 p.) |
| Soggetto topico |
Mathematical optimization
Mathematical analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-907343-66-0
1-904602-91-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910455737703321 |
Yang Xin-She
|
||
| Cambridge, UK, : Cambridge International Science Publishing, c2008 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to mathematical optimization [[electronic resource] ] : from linear programming to metaheuristics / / Xin-She Yang
| Introduction to mathematical optimization [[electronic resource] ] : from linear programming to metaheuristics / / Xin-She Yang |
| Autore | Yang Xin-She |
| Pubbl/distr/stampa | Cambridge, UK, : Cambridge International Science Publishing, c2008 |
| Descrizione fisica | 1 online resource (160 p.) |
| Soggetto topico |
Mathematical optimization
Mathematical analysis |
| ISBN |
1-907343-66-0
1-904602-91-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910780750303321 |
Yang Xin-She
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| Cambridge, UK, : Cambridge International Science Publishing, c2008 | ||
| Lo trovi qui: Univ. Federico II | ||
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