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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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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  
Cambridge, UK, : Cambridge International Science Publishing, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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-9910814529203321
Yang Xin-She  
Cambridge, UK, : Cambridge International Science Publishing, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematical Foundations of Nature-Inspired Algorithms / / by Xin-She Yang, Xing-Shi He
Mathematical Foundations of Nature-Inspired Algorithms / / by Xin-She Yang, Xing-Shi He
Autore Yang Xin-She
Edizione [1st ed. 2019.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Descrizione fisica 1 online resource (114 pages)
Disciplina 004.678015118
004.678
Collana SpringerBriefs in Optimization
Soggetto topico Mathematical optimization
Numerical analysis
Markov processes
Algorithms
Optimization
Numerical Analysis
Markov model
ISBN 3-030-16936-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Introduction to Optimization -- 2 Nature-Inspired Algorithms -- 3 Mathematical Foundations -- 4 Mathematical Analysis I -- 5 Mathematical Analysis II.
Record Nr. UNINA-9910338246303321
Yang Xin-She  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematical modelling for earth sciences [[electronic resource] /] / Xin-She Yang
Mathematical modelling for earth sciences [[electronic resource] /] / Xin-She Yang
Autore Yang Xin-She
Pubbl/distr/stampa Edinburgh, : Dunedin, c2008
Descrizione fisica 1 online resource (321 p.)
Disciplina 550.15118
Soggetto topico Earth sciences - Mathematical models
Earth sciences
Soggetto genere / forma Electronic books.
ISBN 1-62870-347-4
1-281-72817-9
9786611728175
1-906716-74-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Contents; PART I_Mathematical Methods; 1_Mathematical Modelling; 2_Calculus and Complex Variables; 3_Vectors and Matrices; 4_ODEs and Integral Transforms; 5_PDEs and SolutionTechniques; 6_Calculus of Variations; 7_Probability; 8_Geostatistics; PART II_Numerical Algorithms; 9_Numerical Integration; 10_Finite DifferenceMethod; 11_Finite Volume Method; 12_Finite Element Method; PART III_Applications toEarth Sciences; 13_Reaction-DiffusionSystem; 14_Elasticity andPoroelasticity; 15_Flow in Porous Media; Appendix A_Mathematical Formulae; Appendix B_Matlab and Octave Programs; Bibliography
Index
Record Nr. UNINA-9910455114103321
Yang Xin-She  
Edinburgh, : Dunedin, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematical modelling for earth sciences [[electronic resource] /] / Xin-She Yang
Mathematical modelling for earth sciences [[electronic resource] /] / Xin-She Yang
Autore Yang Xin-She
Pubbl/distr/stampa Edinburgh, : Dunedin, c2008
Descrizione fisica 1 online resource (321 p.)
Disciplina 550.15118
Soggetto topico Earth sciences - Mathematical models
Earth sciences
Soggetto genere / forma Electronic books.
ISBN 1-62870-347-4
1-281-72817-9
9786611728175
1-906716-74-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Contents; PART I_Mathematical Methods; 1_Mathematical Modelling; 2_Calculus and Complex Variables; 3_Vectors and Matrices; 4_ODEs and Integral Transforms; 5_PDEs and SolutionTechniques; 6_Calculus of Variations; 7_Probability; 8_Geostatistics; PART II_Numerical Algorithms; 9_Numerical Integration; 10_Finite DifferenceMethod; 11_Finite Volume Method; 12_Finite Element Method; PART III_Applications toEarth Sciences; 13_Reaction-DiffusionSystem; 14_Elasticity andPoroelasticity; 15_Flow in Porous Media; Appendix A_Mathematical Formulae; Appendix B_Matlab and Octave Programs; Bibliography
Index
Record Nr. UNINA-9910533317303321
Yang Xin-She  
Edinburgh, : Dunedin, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematics for Civil Engineers : An Introduction / / Xin-She Yang
Mathematics for Civil Engineers : An Introduction / / Xin-She Yang
Autore Yang Xin-She
Edizione [First edition.]
Pubbl/distr/stampa Edinburgh : , : Dunedin Academic Press Ltd, , [2018]
Descrizione fisica 1 online resource (327 pages)
Disciplina 620.00151
Soggetto topico Engineering mathematics - Data processing
ISBN 1-78046-577-7
1-5231-1310-3
1-78046-638-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Contents -- Preface -- I. Revision of Fundamentals -- 1. Numbers and Functions -- 1. Real Numbers and Significant Digits -- 1.1. Notations and Conventions -- 1.2. Rounding Numbers and Significant Digits -- 2. Sets -- 3. Equations -- 3.1. Simple Equation -- 3.2. Simultaneous Equations -- 3.3. Inequality -- 4. Functions -- 4.1. Domain and Range -- 4.2. Linear Function and Modulus Function -- 4.3. Power Functions -- 4.4. Exponentials and Logarithms -- 4.5. Trigonometrical Functions -- 4.6. Composite Functions -- 2. Equations and Polynomials -- 1. Index Notation -- 2. Binomial Expansions -- 3. Floating Point Numbers -- 4. Quadratic Equations -- 5. Polynomials and Roots -- II. Main Topics -- 3. Vectors and Matrices -- 1. Vectors -- 2. Vector Products -- 2.1. Dot Product -- 2.2. Cross Product -- 2.3. Triple Product of Vectors -- 3. Matrix Algebra -- 3.1. Matrix, Addition and Multiplication -- 3.2. Transformation and Inverse -- 4. System of Linear Equations -- 5. Eigenvalues and Eigenvectors -- 5.1. Eigenvalues and Eigenvectors of a Matrix -- 5.2. Definiteness of a Matrix -- 6. Tensors -- 6.1. Summation Notations -- 6.2. Tensors -- 6.3. Elasticity -- 4. Calculus I: Differentiation -- 1. Gradient and Derivative -- 2. Differentiation Rules -- 3. Maximum, Minimum and Radius of Curvature -- 4. Series Expansions and Taylor Series -- 5. Partial Derivatives -- 6. Differentiation of Vectors -- 6.1. Polar Coordinates -- 6.2. Three Basic Operators -- 6.3. Cylindrical Coordinates -- 6.4. Spherical Coordinates -- 7. Jacobian and Hessian Matrices -- 5. Calculus II: Integration -- 1. Integration -- 2. Integration by Parts -- 3. Integration by Substitution -- 4. Double Integrals and Multiple Integrals -- 5. Jacobian Determinant -- 6. Special Integrals -- 6.1. Line Integral -- 6.2. Gaussian Integrals -- 6.3. Error Functions -- 6. Complex Numbers.
1. Complex Numbers -- 2. Complex Algebra -- 3. Hyperbolic Functions -- 4. Analytical Functions -- 5. Complex Integrals -- 5.1. Cauchy's Integral Theorem -- 5.2. Residue Theorem -- 7. Ordinary Differential Equations -- 1. Differential Equations -- 2. First-Order Differential Equations -- 3. Second-Order Equations -- 3.1. Solution Technique -- 3.2. Sturm-Liouville Eigenvalue Problem -- 4. Higher-Order ODEs -- 5. System of Linear ODEs -- 6. Harmonic Motions -- 6.1. Undamped Forced Oscillations -- 6.2. Damped Forced Oscillations -- 8. Fourier Transform and Laplace Transform -- 1. Fourier Series -- 1.1. Fourier Series -- 1.2. Orthogonality and Fourier Coefficients -- 2. Fourier Transforms -- 3. Discrete and Fast Fourier Transforms -- 4. Laplace Transform -- 4.1. Laplace Transform Pairs -- 4.2. Scalings and Properties -- 4.3. Derivatives and Integrals -- 5. Solving ODE via Laplace Transform -- 6. Z-Transform -- 7. Relationships between Fourier, Laplace and Z-transforms -- 9. Statistics and Curve Fitting -- 1. Random Variables, Means and Variance -- 2. Binomial and Poisson Distributions -- 3. Gaussian Distribution -- 4. Other Distributions -- 5. The Central Limit Theorem -- 6. Weibull Distribution -- 7. Sample Mean and Variance -- 8. Method of Least Squares -- 8.1. Linear Regression and Correlation Coefficient -- 8.2. Linearization -- 9. Generalized Linear Regression -- III. Advanced Topics -- 10. Partial Differential Equations -- 1. Introduction -- 2. First-Order PDEs -- 3. Classification of Second-Order PDEs -- 4. Classic PDEs -- 5. Solution Techniques -- 5.1. Separation of Variables -- 5.2. Laplace Transform -- 5.3. Similarity Solution -- 6. Integral Equations -- 6.1. Fredholm and Volterra Integral Equations -- 6.2. Solutions of Integral Equations -- 11. Numerical Methods and Optimization -- 1. Root-Finding Algorithms -- 2. Numerical Integration.
3. Numerical Solutions of ODEs -- 3.1. Euler Scheme -- 3.2. Runge-Kutta Method -- 4. Optimization -- 4.1. Feasible Solution -- 4.2. Optimality Criteria -- 5. Unconstrained Optimization -- 5.1. Univariate Functions -- 5.2. Multivariate Functions -- 6. Gradient-Based Methods -- 7. Nonlinear Optimization -- 7.1. Penalty Method -- 7.2. Lagrange Multipliers -- 7.3. Karush-Kuhn-Tucker Conditions -- A. Answers to Exercises -- Bibliography -- Index.
Record Nr. UNINA-9910788394303321
Yang Xin-She  
Edinburgh : , : Dunedin Academic Press Ltd, , [2018]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematics for Civil Engineers : An Introduction / / Xin-She Yang
Mathematics for Civil Engineers : An Introduction / / Xin-She Yang
Autore Yang Xin-She
Edizione [First edition.]
Pubbl/distr/stampa Edinburgh : , : Dunedin Academic Press Ltd, , [2018]
Descrizione fisica 1 online resource (327 pages)
Disciplina 620.00151
Soggetto topico Engineering mathematics - Data processing
ISBN 1-78046-577-7
1-5231-1310-3
1-78046-638-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Contents -- Preface -- I. Revision of Fundamentals -- 1. Numbers and Functions -- 1. Real Numbers and Significant Digits -- 1.1. Notations and Conventions -- 1.2. Rounding Numbers and Significant Digits -- 2. Sets -- 3. Equations -- 3.1. Simple Equation -- 3.2. Simultaneous Equations -- 3.3. Inequality -- 4. Functions -- 4.1. Domain and Range -- 4.2. Linear Function and Modulus Function -- 4.3. Power Functions -- 4.4. Exponentials and Logarithms -- 4.5. Trigonometrical Functions -- 4.6. Composite Functions -- 2. Equations and Polynomials -- 1. Index Notation -- 2. Binomial Expansions -- 3. Floating Point Numbers -- 4. Quadratic Equations -- 5. Polynomials and Roots -- II. Main Topics -- 3. Vectors and Matrices -- 1. Vectors -- 2. Vector Products -- 2.1. Dot Product -- 2.2. Cross Product -- 2.3. Triple Product of Vectors -- 3. Matrix Algebra -- 3.1. Matrix, Addition and Multiplication -- 3.2. Transformation and Inverse -- 4. System of Linear Equations -- 5. Eigenvalues and Eigenvectors -- 5.1. Eigenvalues and Eigenvectors of a Matrix -- 5.2. Definiteness of a Matrix -- 6. Tensors -- 6.1. Summation Notations -- 6.2. Tensors -- 6.3. Elasticity -- 4. Calculus I: Differentiation -- 1. Gradient and Derivative -- 2. Differentiation Rules -- 3. Maximum, Minimum and Radius of Curvature -- 4. Series Expansions and Taylor Series -- 5. Partial Derivatives -- 6. Differentiation of Vectors -- 6.1. Polar Coordinates -- 6.2. Three Basic Operators -- 6.3. Cylindrical Coordinates -- 6.4. Spherical Coordinates -- 7. Jacobian and Hessian Matrices -- 5. Calculus II: Integration -- 1. Integration -- 2. Integration by Parts -- 3. Integration by Substitution -- 4. Double Integrals and Multiple Integrals -- 5. Jacobian Determinant -- 6. Special Integrals -- 6.1. Line Integral -- 6.2. Gaussian Integrals -- 6.3. Error Functions -- 6. Complex Numbers.
1. Complex Numbers -- 2. Complex Algebra -- 3. Hyperbolic Functions -- 4. Analytical Functions -- 5. Complex Integrals -- 5.1. Cauchy's Integral Theorem -- 5.2. Residue Theorem -- 7. Ordinary Differential Equations -- 1. Differential Equations -- 2. First-Order Differential Equations -- 3. Second-Order Equations -- 3.1. Solution Technique -- 3.2. Sturm-Liouville Eigenvalue Problem -- 4. Higher-Order ODEs -- 5. System of Linear ODEs -- 6. Harmonic Motions -- 6.1. Undamped Forced Oscillations -- 6.2. Damped Forced Oscillations -- 8. Fourier Transform and Laplace Transform -- 1. Fourier Series -- 1.1. Fourier Series -- 1.2. Orthogonality and Fourier Coefficients -- 2. Fourier Transforms -- 3. Discrete and Fast Fourier Transforms -- 4. Laplace Transform -- 4.1. Laplace Transform Pairs -- 4.2. Scalings and Properties -- 4.3. Derivatives and Integrals -- 5. Solving ODE via Laplace Transform -- 6. Z-Transform -- 7. Relationships between Fourier, Laplace and Z-transforms -- 9. Statistics and Curve Fitting -- 1. Random Variables, Means and Variance -- 2. Binomial and Poisson Distributions -- 3. Gaussian Distribution -- 4. Other Distributions -- 5. The Central Limit Theorem -- 6. Weibull Distribution -- 7. Sample Mean and Variance -- 8. Method of Least Squares -- 8.1. Linear Regression and Correlation Coefficient -- 8.2. Linearization -- 9. Generalized Linear Regression -- III. Advanced Topics -- 10. Partial Differential Equations -- 1. Introduction -- 2. First-Order PDEs -- 3. Classification of Second-Order PDEs -- 4. Classic PDEs -- 5. Solution Techniques -- 5.1. Separation of Variables -- 5.2. Laplace Transform -- 5.3. Similarity Solution -- 6. Integral Equations -- 6.1. Fredholm and Volterra Integral Equations -- 6.2. Solutions of Integral Equations -- 11. Numerical Methods and Optimization -- 1. Root-Finding Algorithms -- 2. Numerical Integration.
3. Numerical Solutions of ODEs -- 3.1. Euler Scheme -- 3.2. Runge-Kutta Method -- 4. Optimization -- 4.1. Feasible Solution -- 4.2. Optimality Criteria -- 5. Unconstrained Optimization -- 5.1. Univariate Functions -- 5.2. Multivariate Functions -- 6. Gradient-Based Methods -- 7. Nonlinear Optimization -- 7.1. Penalty Method -- 7.2. Lagrange Multipliers -- 7.3. Karush-Kuhn-Tucker Conditions -- A. Answers to Exercises -- Bibliography -- Index.
Record Nr. UNINA-9910818256003321
Yang Xin-She  
Edinburgh : , : Dunedin Academic Press Ltd, , [2018]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Nature-inspired optimization algorithms / / Xin-She Yang
Nature-inspired optimization algorithms / / Xin-She Yang
Autore Yang Xin-She
Edizione [First edition.]
Pubbl/distr/stampa London, [England] ; ; Waltham, [Massachusetts] : , : Elsevier, , 2014
Descrizione fisica 1 online resource (277 p.)
Disciplina 006.3
Soggetto topico Computer algorithms
Parallel processing (Electronic computers)
Electronic data processing - Distributed processing
Artificial intelligence
Soggetto genere / forma Electronic books.
ISBN 0-12-416745-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Half Title; Title Page; Copyright; Contents; Preface; 1 Introduction to Algorithms; 1.1 What is an Algorithm?; 1.2 Newton's Method; 1.3 Optimization; 1.3.1 Gradient-Based Algorithms; 1.3.2 Hill Climbing with Random Restart; 1.4 Search for Optimality; 1.5 No-Free-Lunch Theorems; 1.5.1 NFL Theorems; 1.5.2 Choice of Algorithms; 1.6 Nature-Inspired Metaheuristics; 1.7 A Brief History of Metaheuristics; References; 2 Analysis of Algorithms; 2.1 Introduction; 2.2 Analysis of Optimization Algorithms; 2.2.1 Algorithm as an Iterative Process; 2.2.2 An Ideal Algorithm?; 2.2.3 A Self-Organization System
2.2.4 Exploration and Exploitation2.2.5 Evolutionary Operators; 2.3 Nature-Inspired Algorithms; 2.3.1 Simulated Annealing; 2.3.2 Genetic Algorithms; 2.3.3 Differential Evolution; 2.3.4 Ant and Bee Algorithms; 2.3.5 Particle Swarm Optimization; 2.3.6 The Firefly Algorithm; 2.3.7 Cuckoo Search; 2.3.8 The Bat Algorithm; 2.3.9 Harmony Search; 2.3.10 The Flower Algorithm; 2.3.11 Other Algorithms; 2.4 Parameter Tuning and Parameter Control; 2.4.1 Parameter Tuning; 2.4.2 Hyperoptimization; 2.4.3 Multiobjective View; 2.4.4 Parameter Control; 2.5 Discussions; 2.6 Summary; References
3 Random Walks and Optimization3.1 Random Variables; 3.2 Isotropic Random Walks; 3.3 Lévy Distribution and Lévy Flights; 3.4 Optimization as Markov Chains; 3.4.1 Markov Chain; 3.4.2 Optimization as a Markov Chain; 3.5 Step Sizes and Search Efficiency; 3.5.1 Step Sizes, Stopping Criteria, and Efficiency; 3.5.2 Why Lévy Flights are More Efficient; 3.6 Modality and Intermittent Search Strategy; 3.7 Importance of Randomization; 3.7.1 Ways to Carry Out Random Walks; 3.7.2 Importance of Initialization; 3.7.3 Importance Sampling; 3.7.4 Low-Discrepancy Sequences; 3.8 Eagle Strategy
3.8.1 Basic Ideas of Eagle Strategy3.8.2 Why Eagle Strategy is So Efficient; References; 4 Simulated Annealing; 4.1 Annealing and Boltzmann Distribution; 4.2 Parameters; 4.3 SA Algorithm; 4.4 Unconstrained Optimization; 4.5 Basic Convergence Properties; 4.6 SA Behavior in Practice; 4.7 Stochastic Tunneling; References; 5 Genetic Algorithms; 5.1 Introduction; 5.2 Genetic Algorithms; 5.3 Role of Genetic Operators; 5.4 Choice of Parameters; 5.5 GA Variants; 5.6 Schema Theorem; 5.7 Convergence Analysis; References; 6 Differential Evolution; 6.1 Introduction; 6.2 Differential Evolution
6.3 Variants6.4 Choice of Parameters; 6.5 Convergence Analysis; 6.6 Implementation; References; 7 Particle Swarm Optimization; 7.1 Swarm Intelligence; 7.2 PSO Algorithm; 7.3 Accelerated PSO; 7.4 Implementation; 7.5 Convergence Analysis; 7.5.1 Dynamical System; 7.5.2 Markov Chain Approach; 7.6 Binary PSO; References; 8 Firefly Algorithms; 8.1 The Firefly Algorithm; 8.1.1 Firefly Behavior; 8.1.2 Standard Firefly Algorithm; 8.1.3 Variations of Light Intensity and Attractiveness; 8.1.4 Controlling Randomization; 8.2 Algorithm Analysis; 8.2.1 Scalings and Limiting Cases
8.2.2 Attraction and Diffusion
Record Nr. UNISA-996426342003316
Yang Xin-She  
London, [England] ; ; Waltham, [Massachusetts] : , : Elsevier, , 2014
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Nature-inspired optimization algorithms / / Xin-She Yang
Nature-inspired optimization algorithms / / Xin-She Yang
Autore Yang Xin-She
Edizione [First edition.]
Pubbl/distr/stampa London, [England] ; ; Waltham, [Massachusetts] : , : Elsevier, , 2014
Descrizione fisica 1 online resource (277 p.)
Disciplina 006.3
Soggetto topico Computer algorithms
Parallel processing (Electronic computers)
Electronic data processing - Distributed processing
Artificial intelligence
Soggetto genere / forma Electronic books.
ISBN 0-12-416745-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Half Title; Title Page; Copyright; Contents; Preface; 1 Introduction to Algorithms; 1.1 What is an Algorithm?; 1.2 Newton's Method; 1.3 Optimization; 1.3.1 Gradient-Based Algorithms; 1.3.2 Hill Climbing with Random Restart; 1.4 Search for Optimality; 1.5 No-Free-Lunch Theorems; 1.5.1 NFL Theorems; 1.5.2 Choice of Algorithms; 1.6 Nature-Inspired Metaheuristics; 1.7 A Brief History of Metaheuristics; References; 2 Analysis of Algorithms; 2.1 Introduction; 2.2 Analysis of Optimization Algorithms; 2.2.1 Algorithm as an Iterative Process; 2.2.2 An Ideal Algorithm?; 2.2.3 A Self-Organization System
2.2.4 Exploration and Exploitation2.2.5 Evolutionary Operators; 2.3 Nature-Inspired Algorithms; 2.3.1 Simulated Annealing; 2.3.2 Genetic Algorithms; 2.3.3 Differential Evolution; 2.3.4 Ant and Bee Algorithms; 2.3.5 Particle Swarm Optimization; 2.3.6 The Firefly Algorithm; 2.3.7 Cuckoo Search; 2.3.8 The Bat Algorithm; 2.3.9 Harmony Search; 2.3.10 The Flower Algorithm; 2.3.11 Other Algorithms; 2.4 Parameter Tuning and Parameter Control; 2.4.1 Parameter Tuning; 2.4.2 Hyperoptimization; 2.4.3 Multiobjective View; 2.4.4 Parameter Control; 2.5 Discussions; 2.6 Summary; References
3 Random Walks and Optimization3.1 Random Variables; 3.2 Isotropic Random Walks; 3.3 Lévy Distribution and Lévy Flights; 3.4 Optimization as Markov Chains; 3.4.1 Markov Chain; 3.4.2 Optimization as a Markov Chain; 3.5 Step Sizes and Search Efficiency; 3.5.1 Step Sizes, Stopping Criteria, and Efficiency; 3.5.2 Why Lévy Flights are More Efficient; 3.6 Modality and Intermittent Search Strategy; 3.7 Importance of Randomization; 3.7.1 Ways to Carry Out Random Walks; 3.7.2 Importance of Initialization; 3.7.3 Importance Sampling; 3.7.4 Low-Discrepancy Sequences; 3.8 Eagle Strategy
3.8.1 Basic Ideas of Eagle Strategy3.8.2 Why Eagle Strategy is So Efficient; References; 4 Simulated Annealing; 4.1 Annealing and Boltzmann Distribution; 4.2 Parameters; 4.3 SA Algorithm; 4.4 Unconstrained Optimization; 4.5 Basic Convergence Properties; 4.6 SA Behavior in Practice; 4.7 Stochastic Tunneling; References; 5 Genetic Algorithms; 5.1 Introduction; 5.2 Genetic Algorithms; 5.3 Role of Genetic Operators; 5.4 Choice of Parameters; 5.5 GA Variants; 5.6 Schema Theorem; 5.7 Convergence Analysis; References; 6 Differential Evolution; 6.1 Introduction; 6.2 Differential Evolution
6.3 Variants6.4 Choice of Parameters; 6.5 Convergence Analysis; 6.6 Implementation; References; 7 Particle Swarm Optimization; 7.1 Swarm Intelligence; 7.2 PSO Algorithm; 7.3 Accelerated PSO; 7.4 Implementation; 7.5 Convergence Analysis; 7.5.1 Dynamical System; 7.5.2 Markov Chain Approach; 7.6 Binary PSO; References; 8 Firefly Algorithms; 8.1 The Firefly Algorithm; 8.1.1 Firefly Behavior; 8.1.2 Standard Firefly Algorithm; 8.1.3 Variations of Light Intensity and Attractiveness; 8.1.4 Controlling Randomization; 8.2 Algorithm Analysis; 8.2.1 Scalings and Limiting Cases
8.2.2 Attraction and Diffusion
Record Nr. UNINA-9910464676403321
Yang Xin-She  
London, [England] ; ; Waltham, [Massachusetts] : , : Elsevier, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui