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Convex Optimization & Euclidean Distance Geometry
 
 
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Convex Optimization & Euclidean Distance Geometry [Paperback]

Jon Dattorro (Author)

Price: $100.00 & this item ships for FREE with Super Saver Shipping. Details
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Book Description

July 7, 2006 1847280641 978-1847280640
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. large black & white paperback

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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
conic independence, geometric center subspace, hollow subspace, dual generalized inequalities, positive semidefinite cone, independent extreme directions, symmetric hollow part, drawn truncated, monotone cone, hollow matrices, equivalent semidefinite program, real affine function, biorthogonal expansion, primal feasible set, spectral cone, affine dimension, conic combination, pointed closed convex cone, generalized inequality, nonconvex subset, extremes theorem, membership corollary, pointed polyhedral cone, isometric reconstruction, convex real function
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Jon Dattorro, Cone Table, Euclidean Distance Geometry, Meboo Publishing, Barvinok's Proposition, United States
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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