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Real algebraic geometry
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#	Item
61	Towards Scalable Algorithms with Formal Guarantees for Lyapunov Analysis of Control Systems via Algebraic Optimization (Tutorial paper for the 53rd IEEE Conference on Decision and Control) Amir Ali Ahmadi and Pablo A. Pa Add to Reading List Source URL: www.princeton.edu Language: English - Date: 2014-09-21 01:20:26 Stability theory Systems theory Real algebraic geometry Applied mathematics Dynamical systems Lyapunov function Sum-of-squares optimization Semidefinite programming Lyapunov stability Mathematics Mathematical optimization Operations research
62	CCCG 2003, Halifax, Nova Scotia, August 11–13, 2003 On the worst-case complexity of the silhouette of a polytope Helmut Alt ∗ Add to Reading List Source URL: www.cccg.ca Language: English - Date: 2004-01-08 18:44:29 Polyhedron Polygon Algebraic topology Convex polytope Abstract polytope Geometry Polytopes Real algebraic geometry
63	Rigorous filtering using linear relaxations Ferenc Domes, Arnold Neumaier Faculty of Mathematics, University of Vienna Nordbergstrasse 15, A-1090 Vienna, Austria August 12, 2010 Abstract. This paper presents rigorous fil Add to Reading List Source URL: www.mat.univie.ac.at Language: English - Date: 2011-01-10 08:57:10 Algebra Applied mathematics Real algebraic geometry Linear algebra Convex optimization Linear programming Quadratic programming Relaxation Interval arithmetic Mathematics Mathematical optimization Operations research
64	The principal axis theorem and Sylvester’s law of inertia Jordan Bell Department of Mathematics, University of Toronto April 3, 2014 Add to Reading List Source URL: individual.utoronto.ca Language: English - Date: 2014-04-03 12:53:22 Linear algebra Matrix theory Real algebraic geometry Matrices Symmetric matrix Quadratic polynomial Principal axis theorem Homogeneous polynomial Eigenvalues and eigenvectors Algebra Mathematics Quadratic forms
65	CCCG 2010, Winnipeg MB, August 9–11, 2010 Complete enumeration of small realizable oriented matroids Hiroyuki Miyata ∗ Add to Reading List Source URL: cccg.ca Language: English - Date: 2010-07-19 10:46:17 Matroid theory Oriented matroid Real algebraic geometry Matroid Discrete geometry Convex polytope Combinatorics Arrangement of hyperplanes Polychoron Geometry Mathematics Polytopes
66	DIAGONAL AND LOW-RANK MATRIX DECOMPOSITIONS, CORRELATION MATRICES, AND ELLIPSOID FITTING∗ J. SAUNDERSON† , V. CHANDRASEKARAN‡ , P. A. PARRILO† , AND A. S. WILLSKY† Abstract. In this paper we establish links bet Add to Reading List Source URL: www.mit.edu Language: English - Date: 2012-12-21 13:22:47 Matrix theory Matrices Functional analysis Real algebraic geometry Numerical linear algebra Semidefinite programming Positive-definite matrix Matrix decomposition Diagonal matrix Algebra Linear algebra Mathematics
67	Polynomial-sized semidefinite representations of derivative relaxations of spectrahedral cones James Saunderson Pablo A. Parrilo Add to Reading List Source URL: www.mit.edu Language: English - Date: 2013-12-13 10:48:54 Operations research Convex analysis Linear algebra Real algebraic geometry Convex optimization Semidefinite programming Spectrahedron Linear programming Convex cone Mathematical optimization Mathematics Geometry
68	Semidefinite relaxations for optimization problems over rotation matrices James Saunderson Pablo A. Parrilo Add to Reading List Source URL: www.mit.edu Language: English - Date: 2014-10-10 11:55:55 Convex analysis Operations research Real algebraic geometry Linear programming Semidefinite programming Relaxation Convex hull Convex optimization Linear matrix inequality Mathematical optimization Mathematical analysis Mathematics
69	LMI TECHNIQUES FOR OPTIMIZATION OVER POLYNOMIALS IN CONTROL: A SURVEY 1 LMI Techniques for Optimization over Polynomials in Control: a Survey Add to Reading List Source URL: www.eee.hku.hk Language: English - Date: 2010-10-13 21:31:32 Polynomials Mathematical optimization Real algebraic geometry Sum-of-squares optimization Polynomial Positive polynomial Linear matrix inequality Homogeneous polynomial Vector space Algebra Mathematics Abstract algebra

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