Algorithmic Principles of Mathematical Programming

Ulrich Faigle, W. Kern, G. Still (Autoren)

Buch | Hardcover

339 Seiten

2002
Springer-Verlag New York Inc.
978-1-4020-0852-8 (ISBN)

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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.

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.

Erscheint lt. Verlag	31.8.2002
Reihe/Serie	Texts in the Mathematical Sciences ; 24
Zusatzinfo	X, 339 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	1-4020-0852-X / 140200852X
ISBN-13	978-1-4020-0852-8 / 9781402008528
Zustand	Neuware