v2006.03.09 - Convex Optimization

LIST OF FIGURES 294 Euclidean Distance Matrix 21556 Convex hull of three points . . . . . . . . . . . . . . . . . . . . 21657 Complete dimensionless EDM graph . . . . . . . . . . . . . . 21958 Fifth Euclidean metric property . . . . . . . . . . . . . . . . . 22159 Arbitrary hexagon in R 3 . . . . . . . . . . . . . . . . . . . . . 23060 Kissing number . . . . . . . . . . . . . . . . . . . . . . . . . . 23261 Trilateration . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23462 This EDM graph provides unique isometric reconstruction . . 23863 Two sensors • and three anchors ◦ . . . . . . . . . . . . . . . 23964 Two discrete linear trajectories of sensors . . . . . . . . . . . . 24065 Coverage in cellular telephone network . . . . . . . . . . . . . 24266 Orthogonal complements in S N abstractly oriented . . . . . . . 25267 Elliptope E 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27168 Minimum eigenvalue of −VN TDV N . . . . . . . . . . . . . . . . 27769 Some entrywise EDM compositions . . . . . . . . . . . . . . . 27770 Map of United States of America . . . . . . . . . . . . . . . . 28971 Largest ten eigenvalues of −VN TOV N . . . . . . . . . . . . . . 29272 Relative-angle inequality tetrahedron . . . . . . . . . . . . . . 29973 Nonsimplicial pyramid in R 3 . . . . . . . . . . . . . . . . . . . 3035 EDM cone 30574 Relative boundary of cone of Euclidean distance matrices . . . 30775 Intersection of EDM cone with hyperplane . . . . . . . . . . . 30976 Neighborhood graph . . . . . . . . . . . . . . . . . . . . . . . 31177 Trefoil knot untied . . . . . . . . . . . . . . . . . . . . . . . . 31478 Trefoil ribbon . . . . . . . . . . . . . . . . . . . . . . . . . . . 31679 Example of V X selection to make an EDM . . . . . . . . . . . 31980 Vector V X spirals . . . . . . . . . . . . . . . . . . . . . . . . . 32181 Three views of translated negated elliptope . . . . . . . . . . . 32982 Halfline T on PSD cone boundary . . . . . . . . . . . . . . . . 33383 Vectorization and projection interpretation example . . . . . . 33484 Orthogonal complement of geometric center subspace . . . . . 33985 EDM cone construction by flipping PSD cone . . . . . . . . . 34086 Decomposing member of polar EDM cone . . . . . . . . . . . 34487 Ordinary dual EDM cone projected on S 3 h . . . . . . . . . . . 351