Emerging Applications of Algebraic Geometry

Emerging Applications of Algebraic Geometry

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Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on qOptimization and Controlq and qApplications in Biology, Dynamics, and Statisticsq held during the IMA year on Applications of Algebraic Geometry. The articles related to optimization and control focus on burgeoning use of semidefinite programming and moment matrix techniques in computational real algebraic geometry. The new direction towards a systematic study of non-commutative real algebraic geometry is well represented in the volume. Other articles provide an overview of the way computational algebra is useful for analysis of contingency tables, reconstruction of phylogenetic trees, and in systems biology. The contributions collected in this volume are accessible to non-experts, self-contained and informative; they quickly move towards cutting edge research in these areas, and provide a wealth of open problems for future research.[104] , Semidefinite programming relaxations for semialgebraic problems, Mathematical Programming B 96:293~320, ... [113] S. PRAJNA, A. PAPACHRISTODOULOU, P. SEILER, AND P.A. PARRILO, SOSTOOLS (Sums of squares optimization toolbox for MATLAB) Usera#39;s guide, http: //www. cds. caltech. edu/sostools/ ... 17th Allerton Conf. in Communications, Control, and Computing, Monticello, IL, pp.

Title:Emerging Applications of Algebraic Geometry
Author: Mihai Putinar, Seth Sullivant
Publisher:Springer Science & Business Media - 2008-12-10

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