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v2007.09.17 - Convex Optimization

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v2007.09.17 - Convex Optimization

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714 BIBLIOGRAPHY[254] Jos F. Sturm and Shuzhong Zhang. On cones of nonnegative quadraticfunctions. <strong>Optimization</strong> Online, April 2001.http://www.optimization-online.org/DB HTML/2001/05/324.html[255] George P. H. Styan. A review and some extensions of Takemura’sgeneralizations of Cochran’s theorem. Technical Report 56, StanfordUniversity, Department of Statistics, September 1982.[256] George P. H. Styan and Akimichi Takemura. Rank additivityand matrix polynomials. Technical Report 57, Stanford University,Department of Statistics, September 1982.[257] Chen Han Sung and Bit-Shun Tam. A study of projectionally exposedcones. Linear Algebra and its Applications, 139:225–252, 1990.[258] Yoshio Takane. On the relations among four methods ofmultidimensional scaling. Behaviormetrika, 4:29–43, 1977.http://takane.brinkster.net/Yoshio/p008.pdf[259] Akimichi Takemura. On generalizations of Cochran’s theorem andprojection matrices. Technical Report 44, Stanford University,Department of Statistics, August 1980.[260] Peng Hui Tan and Lars K. Rasmussen. The application of semidefiniteprogramming for detection in CDMA. IEEE Journal on Selected Areasin Communications, 19(8), August 2001.[261] Pablo Tarazaga. Faces of the cone of Euclidean distance matrices:Characterizations, structure and induced geometry. Linear Algebraand its Applications, 408:1–13, 2005.[262] Warren S. Torgerson. Theory and Methods of Scaling. Wiley, 1958.[263] Lloyd N. Trefethen and David Bau, III. Numerical Linear Algebra.SIAM, 1997.[264] Michael W. Trosset. Extensions of classical multidimensional scaling:Computational theory. www.math.wm.edu/∼trosset/r.mds.html ,2001. Revision of technical report entitled “Computing distancesbetween convex sets and subsets of the positive semidefinite matrices”first published in 1997.

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