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CDC
2010
IEEE
205views Control Systems» more  CDC 2010»
15 years 1 months ago
Geometric control of patterned linear systems
es of circulant matrices. Our class is broader than just circulants, and we study patterned systems using abstract algebra, specifically the observation that a set of matrices with...
Sarah C. Hamilton, Mireille E. Broucke
CORR
2011
Springer
162views Education» more  CORR 2011»
15 years 1 months ago
Helly numbers of acyclic families
The Helly number of a family of sets with empty intersection is the size of its largest inclusionwise minimal sub-family with empty intersection. Let F be a finite family of open...
Éric Colin de Verdière, Grégo...
MP
2011
15 years 1 months ago
Null space conditions and thresholds for rank minimization
Minimizing the rank of a matrix subject to constraints is a challenging problem that arises in many applications in machine learning, control theory, and discrete geometry. This c...
Benjamin Recht, Weiyu Xu, Babak Hassibi
PCS
2011
15 years 1 months ago
The parametric solution of underdetermined linear ODEs
The purpose of this paper is twofold. An immediate practical use of the presented algorithm is its applicability to the parametric solution of underdetermined linear ordinary di...
Thomas Wolf
SIAMJO
2011
15 years 1 months ago
A Unifying Polyhedral Approximation Framework for Convex Optimization
Abstract. We propose a unifying framework for polyhedral approximation in convex optimization. It subsumes classical methods, such as cutting plane and simplicial decomposition, bu...
Dimitri P. Bertsekas, Huizhen Yu
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