Practical Methods of Optimization [[electronic resource]] |
Autore | Fletcher R |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Hoboken, : Wiley, 2013 |
Descrizione fisica | 1 online resource (452 p.) |
Disciplina | 515 |
Soggetto topico |
Mathematical optimization
Mathematics Operations research |
Soggetto genere / forma | Electronic books. |
ISBN |
1-118-72318-X
1-118-72321-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Contents; Preface; Table of Notation; PART 1 UNCONSTRAINED OPTIMIZATION; Chapter 1 Introduction; 1.1 History and Applications; 1.2 Mathematical Background; Questions for Chapter 1; Chapter 2 Structure of Methods; 2.1 Conditions for Local Minima; 2.2 Ad hoc Methods; 2.3 Useful Algorithmic Properties; 2.4 Quadratic Models; 2.5 Descent Methods and Stability; 2.6 Algorithms for the Line Search Subproblem; Questions for Chapter 2; Chapter 3 Newton-like Methods; 3.1 Newton's Method; 3.2 Quasi-Newton Methods; 3.3 Invariance; 3.4 The Broyden Family; 3.5 Numerical Experiments
3.6 Other FormulaeQuestions for Chapter 3; Chapter 4 Conjugate Direction Methods; 4.1 Conjugate Gradient Methods; 4.2 Direction Set Methods; Questions for Chapter 4; Chapter 5 Restricted Step Methods; 5.1 A Prototype Algorithm; 5.2 Levenberg-Marquardt Methods; Questions for Chapter 5; Chapter 6 Sums of Squares and Nonlinear Equations; 6.1 Over-determined Systems; 6.2 Well-determined Systems; 6.3 No-derivative Methods; Questions for Chapter 6; PART 2 CONSTRAINED OPTIMIZATION; Chapter 7 Introduction; 7.1 Preview; 7.2 Elimination and Other Transformations; Questions for Chapter 7 Chapter 8 Linear Programming8.1 Structure; 8.2 The Simplex Method; 8.3 Other LP Techniques; 8.4 Feasible Points for Linear Constraints; 8.5 Stable and Large-scale Linear Programming; 8.6 Degeneracy; 8.7 Polynomial Time Algorithms; Questions for Chapter 8; Chapter 9 The Theory of Constrained Optimization; 9.1 Lagrange Multipliers; 9.2 First Order Conditions; 9.3 Second Order Conditions; 9.4 Convexity; 9.5 Duality; Questions for Chapter 9; Chapter 10 Quadratic Programming; 10.1 Equality Constraints; 10.2 Lagrangian Methods; 10.3 Active Set Methods; 10.4 Advanced Features 10.5 Special QP Problems10.6 Complementary Pivoting and Other Methods; Questions for Chapter 10; Chapter 11 General Linearly Constrained Optimization; 11.1 Equality Constraints; 11.2 Inequality Constraints; 11.3 Zigzagging; Questions for Chapter 11; Chapter 12 Nonlinear Programming; 12.1 Penalty and Barrier Functions; 12.2 Multiplier Penalty Functions; 12.3 The L1 Exact Penalty Function; 12.4 The Lagrange-Newton Method (SQP); 12.5 Nonlinear Elimination and Feasible Direction Methods ...; 12.6 Other Methods; Questions for Chapter 12; Chapter 13 Other Optimization Problems 13.1 Integer Programming13.2 Geometric Programming; 13.3 Network Programming; Questions for Chapter 13; Chapter 14 Non-Smooth Optimization; 14.1 Introduction; 14.2 Optimally Conditions; 14.3 Exact Penalty Functions; 14.4 Algorithms; 14.5 A Globally Convergent Prototype Algorithm; 14.6 Constrained Non-Smooth Optimization; Questions for Chapter 14; References; Subject Index |
Record Nr. | UNINA-9910465092903321 |
Fletcher R | ||
Hoboken, : Wiley, 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Practical Methods of Optimization [[electronic resource]] |
Autore | Fletcher R |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Hoboken, : Wiley, 2013 |
Descrizione fisica | 1 online resource (452 p.) |
Disciplina | 515 |
Soggetto topico |
Mathematical optimization
Mathematics Operations research |
ISBN |
1-118-72318-X
1-118-72321-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Contents; Preface; Table of Notation; PART 1 UNCONSTRAINED OPTIMIZATION; Chapter 1 Introduction; 1.1 History and Applications; 1.2 Mathematical Background; Questions for Chapter 1; Chapter 2 Structure of Methods; 2.1 Conditions for Local Minima; 2.2 Ad hoc Methods; 2.3 Useful Algorithmic Properties; 2.4 Quadratic Models; 2.5 Descent Methods and Stability; 2.6 Algorithms for the Line Search Subproblem; Questions for Chapter 2; Chapter 3 Newton-like Methods; 3.1 Newton's Method; 3.2 Quasi-Newton Methods; 3.3 Invariance; 3.4 The Broyden Family; 3.5 Numerical Experiments
3.6 Other FormulaeQuestions for Chapter 3; Chapter 4 Conjugate Direction Methods; 4.1 Conjugate Gradient Methods; 4.2 Direction Set Methods; Questions for Chapter 4; Chapter 5 Restricted Step Methods; 5.1 A Prototype Algorithm; 5.2 Levenberg-Marquardt Methods; Questions for Chapter 5; Chapter 6 Sums of Squares and Nonlinear Equations; 6.1 Over-determined Systems; 6.2 Well-determined Systems; 6.3 No-derivative Methods; Questions for Chapter 6; PART 2 CONSTRAINED OPTIMIZATION; Chapter 7 Introduction; 7.1 Preview; 7.2 Elimination and Other Transformations; Questions for Chapter 7 Chapter 8 Linear Programming8.1 Structure; 8.2 The Simplex Method; 8.3 Other LP Techniques; 8.4 Feasible Points for Linear Constraints; 8.5 Stable and Large-scale Linear Programming; 8.6 Degeneracy; 8.7 Polynomial Time Algorithms; Questions for Chapter 8; Chapter 9 The Theory of Constrained Optimization; 9.1 Lagrange Multipliers; 9.2 First Order Conditions; 9.3 Second Order Conditions; 9.4 Convexity; 9.5 Duality; Questions for Chapter 9; Chapter 10 Quadratic Programming; 10.1 Equality Constraints; 10.2 Lagrangian Methods; 10.3 Active Set Methods; 10.4 Advanced Features 10.5 Special QP Problems10.6 Complementary Pivoting and Other Methods; Questions for Chapter 10; Chapter 11 General Linearly Constrained Optimization; 11.1 Equality Constraints; 11.2 Inequality Constraints; 11.3 Zigzagging; Questions for Chapter 11; Chapter 12 Nonlinear Programming; 12.1 Penalty and Barrier Functions; 12.2 Multiplier Penalty Functions; 12.3 The L1 Exact Penalty Function; 12.4 The Lagrange-Newton Method (SQP); 12.5 Nonlinear Elimination and Feasible Direction Methods ...; 12.6 Other Methods; Questions for Chapter 12; Chapter 13 Other Optimization Problems 13.1 Integer Programming13.2 Geometric Programming; 13.3 Network Programming; Questions for Chapter 13; Chapter 14 Non-Smooth Optimization; 14.1 Introduction; 14.2 Optimally Conditions; 14.3 Exact Penalty Functions; 14.4 Algorithms; 14.5 A Globally Convergent Prototype Algorithm; 14.6 Constrained Non-Smooth Optimization; Questions for Chapter 14; References; Subject Index |
Record Nr. | UNINA-9910792012503321 |
Fletcher R | ||
Hoboken, : Wiley, 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Practical Methods of Optimization [[electronic resource]] |
Autore | Fletcher R |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Hoboken, : Wiley, 2013 |
Descrizione fisica | 1 online resource (452 p.) |
Disciplina | 515 |
Soggetto topico |
Mathematical optimization
Mathematics Operations research |
ISBN |
1-118-72318-X
1-118-72321-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Contents; Preface; Table of Notation; PART 1 UNCONSTRAINED OPTIMIZATION; Chapter 1 Introduction; 1.1 History and Applications; 1.2 Mathematical Background; Questions for Chapter 1; Chapter 2 Structure of Methods; 2.1 Conditions for Local Minima; 2.2 Ad hoc Methods; 2.3 Useful Algorithmic Properties; 2.4 Quadratic Models; 2.5 Descent Methods and Stability; 2.6 Algorithms for the Line Search Subproblem; Questions for Chapter 2; Chapter 3 Newton-like Methods; 3.1 Newton's Method; 3.2 Quasi-Newton Methods; 3.3 Invariance; 3.4 The Broyden Family; 3.5 Numerical Experiments
3.6 Other FormulaeQuestions for Chapter 3; Chapter 4 Conjugate Direction Methods; 4.1 Conjugate Gradient Methods; 4.2 Direction Set Methods; Questions for Chapter 4; Chapter 5 Restricted Step Methods; 5.1 A Prototype Algorithm; 5.2 Levenberg-Marquardt Methods; Questions for Chapter 5; Chapter 6 Sums of Squares and Nonlinear Equations; 6.1 Over-determined Systems; 6.2 Well-determined Systems; 6.3 No-derivative Methods; Questions for Chapter 6; PART 2 CONSTRAINED OPTIMIZATION; Chapter 7 Introduction; 7.1 Preview; 7.2 Elimination and Other Transformations; Questions for Chapter 7 Chapter 8 Linear Programming8.1 Structure; 8.2 The Simplex Method; 8.3 Other LP Techniques; 8.4 Feasible Points for Linear Constraints; 8.5 Stable and Large-scale Linear Programming; 8.6 Degeneracy; 8.7 Polynomial Time Algorithms; Questions for Chapter 8; Chapter 9 The Theory of Constrained Optimization; 9.1 Lagrange Multipliers; 9.2 First Order Conditions; 9.3 Second Order Conditions; 9.4 Convexity; 9.5 Duality; Questions for Chapter 9; Chapter 10 Quadratic Programming; 10.1 Equality Constraints; 10.2 Lagrangian Methods; 10.3 Active Set Methods; 10.4 Advanced Features 10.5 Special QP Problems10.6 Complementary Pivoting and Other Methods; Questions for Chapter 10; Chapter 11 General Linearly Constrained Optimization; 11.1 Equality Constraints; 11.2 Inequality Constraints; 11.3 Zigzagging; Questions for Chapter 11; Chapter 12 Nonlinear Programming; 12.1 Penalty and Barrier Functions; 12.2 Multiplier Penalty Functions; 12.3 The L1 Exact Penalty Function; 12.4 The Lagrange-Newton Method (SQP); 12.5 Nonlinear Elimination and Feasible Direction Methods ...; 12.6 Other Methods; Questions for Chapter 12; Chapter 13 Other Optimization Problems 13.1 Integer Programming13.2 Geometric Programming; 13.3 Network Programming; Questions for Chapter 13; Chapter 14 Non-Smooth Optimization; 14.1 Introduction; 14.2 Optimally Conditions; 14.3 Exact Penalty Functions; 14.4 Algorithms; 14.5 A Globally Convergent Prototype Algorithm; 14.6 Constrained Non-Smooth Optimization; Questions for Chapter 14; References; Subject Index |
Record Nr. | UNINA-9910821311903321 |
Fletcher R | ||
Hoboken, : Wiley, 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Practical methods of optimization |
Autore | Fletcher R |
Pubbl/distr/stampa | [Place of publication not identified], : Wiley, 1987 |
Disciplina | 515 |
Soggetto topico |
Mathematical optimization
Civil & Environmental Engineering Engineering & Applied Sciences Operations Research |
ISBN | 1-118-72320-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910133695503321 |
Fletcher R | ||
[Place of publication not identified], : Wiley, 1987 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Practical methods of optimization |
Autore | Fletcher R |
Pubbl/distr/stampa | [Place of publication not identified], : Wiley, 1987 |
Disciplina | 515 |
Soggetto topico |
Mathematical optimization
Civil & Environmental Engineering Engineering & Applied Sciences Operations Research |
ISBN | 1-118-72320-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910876977403321 |
Fletcher R | ||
[Place of publication not identified], : Wiley, 1987 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Radius heliconicus [[electronic resource] ] : or, the resolution of a free state |
Autore | Fletcher R |
Pubbl/distr/stampa | [London, : s.n., 1651] |
Descrizione fisica | 1 sheet ([1] p.) |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-996383859103316 |
Fletcher R | ||
[London, : s.n., 1651] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|