Algorithmic Principles of Mathematical Programming (Texts in the Mathematical Sciences, #24)

by Ulrich Faigle, W. Kern, and G. Still

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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.
  • ISBN13 9789048161171
  • Publish Date 7 December 2010 (first published 31 August 2002)
  • Publish Status Active
  • Publish Country NL
  • Imprint Springer
  • Edition Softcover reprint of hardcover 1st ed. 2002
  • Format Paperback
  • Pages 339
  • Language English