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v2006.03.09 - Convex Optimization

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634 BIBLIOGRAPHY[133] Florian Jarre. <strong>Convex</strong> analysis on symmetric matrices. InHenry Wolkowicz, Romesh Saigal, and Lieven Vandenberghe, editors,Handbook of Semidefinite Programming: Theory, Algorithms, andApplications, chapter 2. Kluwer, 2000.[134] Charles R. Johnson and Pablo Tarazaga. Connections between the realpositive semidefinite and distance matrix completion problems. LinearAlgebra and its Applications, 223/224:375–391, 1995.[135] George B. Thomas, Jr. Calculus and Analytic Geometry.Addison-Wesley, fourth edition, 1972.[136] Thomas Kailath. Linear Systems. Prentice-Hall, 1980.[137] Tosio Kato. Perturbation Theory for Linear Operators.Springer-Verlag, 1966.[138] Paul J. Kelly and Norman E. Ladd. Geometry. Scott, Foresman andCompany, 1965.[139] Ron Kimmel. Numerical Geometry of Images: Theory, Algorithms,and Applications. Springer-Verlag, 2003.[140] Erwin Kreyszig. Introductory Functional Analysis with Applications.Wiley, 1989.[141] Jean B. Lasserre. A new Farkas lemma for positive semidefinitematrices. IEEE Transactions on Automatic Control, 40(6):1131–1133,June 1995.[142] Jean B. Lasserre and Eduardo S. Zeron. A Laplace transform algorithmfor the volume of a convex polytope. Journal of the Association forComputing Machinery, 48(6):1126–1140, November 2001.[143] Jean B. Lasserre and Eduardo S. Zeron. A new algorithm for thevolume of a convex polytope. arXiv.org, June 2001.http://arxiv.org/PS cache/math/pdf/0106/0106168.pdf .[144] Monique Laurent. A connection between positive semidefinite andEuclidean distance matrix completion problems. Linear Algebra andits Applications, 273:9–22, 1998.

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