v2007.09.13 - Convex Optimization
v2007.09.13 - Convex Optimization v2007.09.13 - Convex Optimization
EDM = S h ∩ ( S ⊥ c − S +)
PreludeThe constant demands of my department and university and theever increasing work needed to obtain funding have stolen much ofmy precious thinking time, and I sometimes yearn for the halcyondays of Bell Labs.−Steven Chu, Nobel laureate [57]Convex Analysis is the calculus of inequalities while Convex Optimizationis its application. Analysis is inherently the domain of the mathematicianwhile Optimization belongs to the engineer.2005 Jon Dattorro. CO&EDG version 2007.09.13. All rights reserved.Citation: Jon Dattorro, Convex Optimization & Euclidean Distance Geometry,Meboo Publishing USA, 2005.7
- Page 1 and 2: DATTORROCONVEXOPTIMIZATION&EUCLIDEA
- Page 3 and 4: Convex Optimization&Euclidean Dista
- Page 5: for Jennie Columba♦Antonio♦♦&
- Page 9 and 10: Convex Optimization&Euclidean Dista
- Page 11 and 12: CONVEX OPTIMIZATION & EUCLIDEAN DIS
- Page 13 and 14: List of Figures1 Overview 191 Orion
- Page 15 and 16: LIST OF FIGURES 1559 Quadratic func
- Page 17 and 18: LIST OF FIGURES 17E Projection 5791
- Page 19 and 20: Chapter 1OverviewConvex Optimizatio
- Page 21 and 22: ˇx 4ˇx 3ˇx 2Figure 2: Applicatio
- Page 23 and 24: 23Figure 4: This coarsely discretiz
- Page 25 and 26: ases (biorthogonal expansion). We e
- Page 27 and 28: 27Figure 7: These bees construct a
- Page 29 and 30: its membership to the EDM cone. The
- Page 31 and 32: 31appendicesProvided so as to be mo
- Page 33 and 34: Chapter 2Convex geometryConvexity h
- Page 35 and 36: 2.1. CONVEX SET 35Figure 9: A slab
- Page 37 and 38: 2.1. CONVEX SET 372.1.6 empty set v
- Page 39 and 40: 2.1. CONVEX SET 392.1.7.1 Line inte
- Page 41 and 42: 2.1. CONVEX SET 41(a)R 2(b)R 3(c)(d
- Page 43 and 44: 2.1. CONVEX SET 43This theorem in c
- Page 45 and 46: 2.2. VECTORIZED-MATRIX INNER PRODUC
- Page 47 and 48: 2.2. VECTORIZED-MATRIX INNER PRODUC
- Page 49 and 50: 2.2. VECTORIZED-MATRIX INNER PRODUC
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- Page 53 and 54: 2.3. HULLS 53Figure 12: Convex hull
- Page 55 and 56: 2.3. HULLS 55Aaffine hull (drawn tr
EDM = S h ∩ ( S ⊥ c − S +)
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