Algorithmic Principles of Mathematical Programming (Paperback)

Ulrich Faigle

ISBN 10: 9048161177 / ISBN 13: 9789048161171

Editore: Springer, Dordrecht, 2010

Riguardo questo articolo

Paperback. Algorithmic Principles of Mathematical Programming investigates the mathematical structures and principles underlying the design of efficient algorithms for optimization problems. Recent advances in algorithmic theory have shown that the traditionally separate areas of discrete optimization, linear programming, and nonlinear optimization are closely linked. This book offers a comprehensive introduction to the whole subject and leads the reader to the frontiers of current research. The prerequisites to use the book are very elementary. All the tools from numerical linear algebra and calculus are fully reviewed and developed. Rather than attempting to be encyclopedic, the book illustrates the important basic techniques with typical problems. The focus is on efficient algorithms with respect to practical usefulness. Algorithmic complexity theory is presented with the goal of helping the reader understand the concepts without having to become a theoretical specialist. Further theory is outlined and supplemented with pointers to the relevant literature. Algorithmic Principles of Mathematical Programming investigates the mathematical structures and principles underlying the design of efficient algorithms for optimization problems. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Codice articolo 9789048161171

Dati bibliografici

• Titolo: Algorithmic Principles of Mathematical Programming (Paperback)
• Editore: Springer, Dordrecht
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 9048161177
• ISBN 13: 9789048161171
• Rilegatura: Paperback
• Edizione: prima edizione
• Condizione: new

Descrizione articolo

Riassunto

Algorithmic Principles of Mathematical Programming investigates the mathematical structures and principles underlying the design of efficient algorithms for optimization problems. Recent advances in algorithmic theory have shown that the traditionally separate areas of discrete optimization, linear programming, and nonlinear optimization are closely linked. This book offers a comprehensive introduction to the whole subject and leads the reader to the frontiers of current research. The prerequisites to use the book are very elementary. All the tools from numerical linear algebra and calculus are fully reviewed and developed. Rather than attempting to be encyclopedic, the book illustrates the important basic techniques with typical problems. The focus is on efficient algorithms with respect to practical usefulness. Algorithmic complexity theory is presented with the goal of helping the reader understand the concepts without having to become a theoretical specialist. Further theory is outlined and supplemented with pointers to the relevant literature.

Contenuti

Introduction. 1. Real Vector Spaces. 2. Linear Equations and Linear Inequalities. 3. Polyhedra. 4. Linear Programs and the Simplex Method. 5. Lagrangian Duality. 6. An Interior Point Algorithm for Linear Programs. 7. Network Flows. 8. Complexity. 9. Integer Programming. 10. Convex Sets and Convex Functions. 11. Unconstrained Optimization. 12. Constrained Nonlinear Optimization. List of frequently used Symbols. Bibliography. Index.