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Convex Optimization & Euclidean Distance Geometry

Convex Optimization & Euclidean Distance Geometry - Paperback - 9781847280640

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Product Details
Author:
Jon Dattorro
Publisher:
Lulu.com
Publication Date:
Jun 25, 2006
Number of pages:
708 pages
Binding:
Paperback or Softback
ISBN-10:
1847280641
ISBN-13:
9781847280640

Overview

Optimization is the science of making a best choice in the face of conflicting requirements. Any convex optimization problem has geometric interpretation. If a given optimization problem can be transformed to a convex equivalent, then this interpretive benefit is acquired. That is a powerful attraction: the ability to visualize geometry of an optimization problem. Conversely, recent advances in geometry hold convex optimization within their proofs' core. This book is about convex optimization, convex geometry (with particular attention to distance geometry), geometrical problems, and problems that can be transformed into geometrical problems. Euclidean distance geometry is, fundamentally, a determination of point conformation from interpoint distance information; e.g., given only distance information, determine whether there corresponds a realizable configuration of points; a list of points in some dimension that attains the given interpoint distances. 2005 International Edition I


  • | Author: Jon Dattorro
  • | Publisher: Lulu.com
  • | Publication Date: Jun 25, 2006
  • | Number of Pages: 708 pages
  • | Binding: Paperback or Softback
  • | ISBN-10: 1847280641
  • | ISBN-13: 9781847280640

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