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Linear Inequalities and Related Systems. (AM-38), Volume 38 / / Harold William Kuhn, Albert William Tucker
| Linear Inequalities and Related Systems. (AM-38), Volume 38 / / Harold William Kuhn, Albert William Tucker |
| Autore | Kuhn Harold William |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (353 pages) : illustrations, tables |
| Disciplina | 512.89 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Linear programming
Matrices Game theory |
| Soggetto non controllato |
Banach space
Basic solution (linear programming) Big O notation Bilinear form Boundary (topology) Brouwer fixed-point theorem Characterization (mathematics) Coefficient Combination Computation Computational problem Convex combination Convex cone Convex hull Convex set Corollary Correlation and dependence Cramer's rule Cyclic permutation Dedekind cut Degeneracy (mathematics) Determinant Diagram (category theory) Dilworth's theorem Dimension (vector space) Directional derivative Disjoint sets Doubly stochastic matrix Dual space Duality (mathematics) Duality (optimization) Eigenvalues and eigenvectors Elementary proof Equation solving Equation Equivalence class Euclidean space Existence theorem Existential quantification Extreme point Fixed-point theorem Functional analysis Fundamental theorem General equilibrium theory Hall's theorem Hilbert space Incidence matrix Inequality (mathematics) Infimum and supremum Invertible matrix Kakutani fixed-point theorem Lagrange multiplier Linear equation Linear inequality Linear map Linear programming Linear space (geometry) Linear subspace Loss function Main diagonal Mathematical induction Mathematical optimization Mathematical problem Max-flow min-cut theorem Maxima and minima Maximal set Maximum flow problem Menger's theorem Minor (linear algebra) Monotonic function N-vector Nonlinear programming Nonnegative matrix Parity (mathematics) Partially ordered set Permutation matrix Permutation Polyhedron Quantity Representation theorem Row and column vectors Scientific notation Sensitivity analysis Set notation Sign (mathematics) Simplex algorithm Simultaneous equations Solution set Special case Subset Summation System of linear equations Theorem Transpose Unit sphere Unit vector Upper and lower bounds Variable (mathematics) Vector space Von Neumann's theorem |
| ISBN | 1-4008-8198-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- 1 . Dual Systems of Homogeneous Linear Relations / Tucker, A. W. -- 2. Polyhedral Convex Cones / Goldman, A. J. / Tucker, A. W. -- 3 . Resolution and Separation Theorems for Polyhedral Convex Sets / Goldman, A. J. -- 4. Theory of Linear Programming / Goldman, A. J. / Tucker, A. W. -- 5. On Systems of Linear Inequalities / Pan, Ky -- 6. Infinite Programs / Duffin, R . J . -- 7* A Primal-Dual Algorithm for Linear Programs / Dantzig, G. B. / Ford, L. R. / Fulkerson, D. R. -- 8. Marginal Values of Matrix Games and Linear Programs / Mills, Harlan D. -- 9 . Determinateness of Polyhedral Games / Wolfe, Philip -- 10. On Systems of Distinct Representatives / Hoffman, A. J. / Kuhn, H. W. -- 11. Dilworth's Theorem on Partially Ordered Sets / Dantzig, G. B. / Hoffman, A. J. -- 12. On the Max-Flow Min-Cut Theorem of Networks / Dantzig, G. B. / Fulkerson, D. R. -- 13. Integral Boundary Points of Convex Polyhedra / Hoffman, A. J. / Kruskal, J. B. -- 14 . An Extension of a Theorem of Dantzig's / Heller, I. / Tompkins, C. B. -- 15. Neighboring Vertices on a Convex Polyhedron / Gale, David -- 16. On a Theorem of Wald / Kuhn, H. W. -- 17. On the Solution of a Game-Theoretic Problem / Thompson, Gerald L. -- 18. The Closed Linear Model of Production / Gale, David -- Bibliography -- Backmatter |
| Record Nr. | UNINA-9910154749603321 |
Kuhn Harold William
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Linear Programming Using MATLAB® / Nikolaos Ploskas, Nikolaos Samaras
| Linear Programming Using MATLAB® / Nikolaos Ploskas, Nikolaos Samaras |
| Autore | Ploskas, Nikolaos |
| Pubbl/distr/stampa | Cham, : Springer, 2017 |
| Descrizione fisica | xvii, 637 p. : ill. ; 24 cm |
| Soggetto topico |
90Cxx - Mathematical programming [MSC 2020]
65K05 - Numerical mathematical programming methods [MSC 2020] 49M15 - Newton-type methods [MSC 2020] 49M29 - Numerical methods involving duality [MSC 2020] |
| Soggetto non controllato |
Convert MAT2MPS
Convert MPS2MAT Exterior Point Simplex Algorithm Gauss-Jordan Elimination Geometry of Linear Programming Problems Interior point methods Linear Programming Problem Linear programming algorithms MATLAB linear programming Matlab Optimization toolbox Matlab toolbox Parametric programming Pivoting Rules Presolve Methods Revised Dual Simplex Algorithm Revised Primal Simplex Algorithm Scaling techniques Sensitivity analysis Simplex algorithm |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0124077 |
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Ploskas, Nikolaos
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| Cham, : Springer, 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Self-Regularity : A New Paradigm for Primal-Dual Interior-Point Algorithms / / Jiming Peng, Cornelis Roos, Tamás Terlaky
| Self-Regularity : A New Paradigm for Primal-Dual Interior-Point Algorithms / / Jiming Peng, Cornelis Roos, Tamás Terlaky |
| Autore | Peng Jiming |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2009] |
| Descrizione fisica | 1 online resource (201 p.) |
| Disciplina | 519.6 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Interior-point methods
Mathematical optimization Programming (Mathematics) Civil & Environmental Engineering Engineering & Applied Sciences Operations Research |
| Soggetto non controllato |
Accuracy and precision
Algorithm Analysis of algorithms Analytic function Associative property Barrier function Binary number Block matrix Combination Combinatorial optimization Combinatorics Complexity Conic optimization Continuous optimization Control theory Convex optimization Delft University of Technology Derivative Differentiable function Directional derivative Division by zero Dual space Duality (mathematics) Duality gap Eigenvalues and eigenvectors Embedding Equation Estimation Existential quantification Explanation Feasible region Filter design Function (mathematics) Implementation Instance (computer science) Invertible matrix Iteration Jacobian matrix and determinant Jordan algebra Karmarkar's algorithm Karush–Kuhn–Tucker conditions Line search Linear complementarity problem Linear function Linear programming Lipschitz continuity Local convergence Loss function Mathematical optimization Mathematician Mathematics Matrix function McMaster University Monograph Multiplication operator Newton's method Nonlinear programming Nonlinear system Notation Operations research Optimal control Optimization problem Parameter (computer programming) Parameter Pattern recognition Polyhedron Polynomial Positive semidefinite Positive-definite matrix Quadratic function Requirement Result Scientific notation Second derivative Self-concordant function Sensitivity analysis Sign (mathematics) Signal processing Simplex algorithm Simultaneous equations Singular value Smoothness Solution set Solver Special case Subset Suggestion Technical report Theorem Theory Time complexity Two-dimensional space Upper and lower bounds Variable (computer science) Variable (mathematics) Variational inequality Variational principle Without loss of generality Worst-case complexity Yurii Nesterov |
| ISBN |
1-282-08760-6
9786612087608 1-4008-2513-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgments -- Notation -- List of Abbreviations -- Chapter 1. Introduction and Preliminaries -- Chapter 2. Self-Regular Functions and Their Properties -- Chapter 3. Primal-Dual Algorithms for Linear Optimization Based on Self-Regular Proximities -- Chapter 4. Interior-Point Methods for Complementarity Problems Based on Self- Regular Proximities -- Chapter 5. Primal-Dual Interior-Point Methods for Semidefinite Optimization Based on Self-Regular Proximities -- Chapter 6. Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities -- Chapter 7. Initialization: Embedding Models for Linear Optimization, Complementarity Problems, Semidefinite Optimization and Second-Order Conic Optimization -- Chapter 8. Conclusions -- References -- Index |
| Record Nr. | UNINA-9910777727403321 |
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Peng Jiming
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| Princeton, NJ : , : Princeton University Press, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Self-Regularity : A New Paradigm for Primal-Dual Interior-Point Algorithms / / Jiming Peng, Cornelis Roos, Tamás Terlaky
| Self-Regularity : A New Paradigm for Primal-Dual Interior-Point Algorithms / / Jiming Peng, Cornelis Roos, Tamás Terlaky |
| Autore | Peng Jiming |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2009] |
| Descrizione fisica | 1 online resource (201 p.) |
| Disciplina | 519.6 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Interior-point methods
Mathematical optimization Programming (Mathematics) Civil & Environmental Engineering Engineering & Applied Sciences Operations Research |
| Soggetto non controllato |
Accuracy and precision
Algorithm Analysis of algorithms Analytic function Associative property Barrier function Binary number Block matrix Combination Combinatorial optimization Combinatorics Complexity Conic optimization Continuous optimization Control theory Convex optimization Delft University of Technology Derivative Differentiable function Directional derivative Division by zero Dual space Duality (mathematics) Duality gap Eigenvalues and eigenvectors Embedding Equation Estimation Existential quantification Explanation Feasible region Filter design Function (mathematics) Implementation Instance (computer science) Invertible matrix Iteration Jacobian matrix and determinant Jordan algebra Karmarkar's algorithm Karush–Kuhn–Tucker conditions Line search Linear complementarity problem Linear function Linear programming Lipschitz continuity Local convergence Loss function Mathematical optimization Mathematician Mathematics Matrix function McMaster University Monograph Multiplication operator Newton's method Nonlinear programming Nonlinear system Notation Operations research Optimal control Optimization problem Parameter (computer programming) Parameter Pattern recognition Polyhedron Polynomial Positive semidefinite Positive-definite matrix Quadratic function Requirement Result Scientific notation Second derivative Self-concordant function Sensitivity analysis Sign (mathematics) Signal processing Simplex algorithm Simultaneous equations Singular value Smoothness Solution set Solver Special case Subset Suggestion Technical report Theorem Theory Time complexity Two-dimensional space Upper and lower bounds Variable (computer science) Variable (mathematics) Variational inequality Variational principle Without loss of generality Worst-case complexity Yurii Nesterov |
| ISBN |
1-282-08760-6
9786612087608 1-4008-2513-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgments -- Notation -- List of Abbreviations -- Chapter 1. Introduction and Preliminaries -- Chapter 2. Self-Regular Functions and Their Properties -- Chapter 3. Primal-Dual Algorithms for Linear Optimization Based on Self-Regular Proximities -- Chapter 4. Interior-Point Methods for Complementarity Problems Based on Self- Regular Proximities -- Chapter 5. Primal-Dual Interior-Point Methods for Semidefinite Optimization Based on Self-Regular Proximities -- Chapter 6. Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities -- Chapter 7. Initialization: Embedding Models for Linear Optimization, Complementarity Problems, Semidefinite Optimization and Second-Order Conic Optimization -- Chapter 8. Conclusions -- References -- Index |
| Record Nr. | UNINA-9910813827803321 |
|
Peng Jiming
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| Princeton, NJ : , : Princeton University Press, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The traveling salesman problem [[electronic resource] ] : a computational study / / David L. Applegate ... [et al.]
| The traveling salesman problem [[electronic resource] ] : a computational study / / David L. Applegate ... [et al.] |
| Autore | Applegate David L |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2006 |
| Descrizione fisica | 1 online resource (606 p.) |
| Disciplina | 511.6 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico | Traveling salesman problem |
| Soggetto non controllato |
AT&T Labs
Accuracy and precision Addition Algorithm Analysis of algorithms Applied mathematics Approximation algorithm Approximation Basic solution (linear programming) Best, worst and average case Bifurcation theory Big O notation CPLEX CPU time Calculation Chaos theory Column generation Combinatorial optimization Computation Computational resource Computer Connected component (graph theory) Connectivity (graph theory) Convex hull Cutting-plane method Delaunay triangulation Determinism Disjoint sets Dynamic programming Ear decomposition Engineering Enumeration Equation Estimation Euclidean distance Euclidean space Family of sets For loop Genetic algorithm George Dantzig Georgia Institute of Technology Greedy algorithm Hamiltonian path Hospitality Hypergraph Implementation Instance (computer science) Institute Integer Iteration Linear inequality Linear programming Mathematical optimization Mathematics Model of computation Neuroscience Notation Operations research Optimization problem Order by Pairwise Parameter (computer programming) Parity (mathematics) Percentage Polyhedron Polytope Pricing Princeton University Processing (programming language) Project Quantity Reduced cost Requirement Result Rice University Rutgers University Scientific notation Search algorithm Search tree Self-similarity Simplex algorithm Solution set Solver Source code Special case Stochastic Subroutine Subsequence Subset Summation Test set Theorem Theory Time complexity Trade-off Travelling salesman problem Tree (data structure) Upper and lower bounds Variable (computer science) Variable (mathematics) |
| ISBN |
1-283-25611-8
9786613256119 1-4008-4110-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. The Problem -- Chapter 2. Applications -- Chapter 3. Dantzig, Fulkerson, and Johnson -- Chapter 4. History of TSP Computation -- Chapter 5. LP Bounds and Cutting Planes -- Chapter 6. Subtour Cuts and PQ-Trees -- Chapter 7. Cuts from Blossoms and Blocks -- Chapter 8. Combs from Consecutive Ones -- Chapter 9. Combs from Dominoes -- Chapter 10. Cut Metamorphoses -- Chapter 11. Local Cuts -- Chapter 12. Managing the Linear Programming Problems -- Chapter 13. The Linear Programming Solver Chapter 14. Branching -- Chapter 14. Branching -- Chapter 15. Tour Finding -- Chapter 16. Computation -- Chapter 17. The Road Goes On -- Bibliography -- Index |
| Record Nr. | UNINA-9910789748903321 |
|
Applegate David L
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| Princeton, : Princeton University Press, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The traveling salesman problem [[electronic resource] ] : a computational study / / David L. Applegate ... [et al.]
| The traveling salesman problem [[electronic resource] ] : a computational study / / David L. Applegate ... [et al.] |
| Autore | Applegate David L |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2006 |
| Descrizione fisica | 1 online resource (606 p.) |
| Disciplina | 511.6 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico | Traveling salesman problem |
| Soggetto non controllato |
AT&T Labs
Accuracy and precision Addition Algorithm Analysis of algorithms Applied mathematics Approximation algorithm Approximation Basic solution (linear programming) Best, worst and average case Bifurcation theory Big O notation CPLEX CPU time Calculation Chaos theory Column generation Combinatorial optimization Computation Computational resource Computer Connected component (graph theory) Connectivity (graph theory) Convex hull Cutting-plane method Delaunay triangulation Determinism Disjoint sets Dynamic programming Ear decomposition Engineering Enumeration Equation Estimation Euclidean distance Euclidean space Family of sets For loop Genetic algorithm George Dantzig Georgia Institute of Technology Greedy algorithm Hamiltonian path Hospitality Hypergraph Implementation Instance (computer science) Institute Integer Iteration Linear inequality Linear programming Mathematical optimization Mathematics Model of computation Neuroscience Notation Operations research Optimization problem Order by Pairwise Parameter (computer programming) Parity (mathematics) Percentage Polyhedron Polytope Pricing Princeton University Processing (programming language) Project Quantity Reduced cost Requirement Result Rice University Rutgers University Scientific notation Search algorithm Search tree Self-similarity Simplex algorithm Solution set Solver Source code Special case Stochastic Subroutine Subsequence Subset Summation Test set Theorem Theory Time complexity Trade-off Travelling salesman problem Tree (data structure) Upper and lower bounds Variable (computer science) Variable (mathematics) |
| ISBN |
1-283-25611-8
9786613256119 1-4008-4110-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. The Problem -- Chapter 2. Applications -- Chapter 3. Dantzig, Fulkerson, and Johnson -- Chapter 4. History of TSP Computation -- Chapter 5. LP Bounds and Cutting Planes -- Chapter 6. Subtour Cuts and PQ-Trees -- Chapter 7. Cuts from Blossoms and Blocks -- Chapter 8. Combs from Consecutive Ones -- Chapter 9. Combs from Dominoes -- Chapter 10. Cut Metamorphoses -- Chapter 11. Local Cuts -- Chapter 12. Managing the Linear Programming Problems -- Chapter 13. The Linear Programming Solver Chapter 14. Branching -- Chapter 14. Branching -- Chapter 15. Tour Finding -- Chapter 16. Computation -- Chapter 17. The Road Goes On -- Bibliography -- Index |
| Record Nr. | UNINA-9910812920303321 |
|
Applegate David L
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| Princeton, : Princeton University Press, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||