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pro vyhledávání: '"Heuer, Janin"'
Autor:
Heuer, Janin, de Wolff, Timo
Certifying the stability of dynamical systems is a central and challenging task in control theory and systems analysis. To tackle these problems we present an algorithmic approach to finding polynomial Lyapunov functions. Our method relies on sums of
Externí odkaz:
http://arxiv.org/abs/2303.02031
Circuit polynomials are a certificate of nonnegativity for real polynomials, which can be derived via a generalization of the classical inequality of arithmetic and geometric means. In this article, we show that similarly nonnegativity of symmetric r
Externí odkaz:
http://arxiv.org/abs/2211.07266
Autor:
Heuer, Janin, de Wolff, Timo
The cone of sums of nonnegative circuits (SONCs) is a subset of the cone of nonnegative polynomials / exponential sums, which has been studied extensively in recent years. In this article, we construct a subset of the SONC cone which we call the DSON
Externí odkaz:
http://arxiv.org/abs/2204.03918
Background: Rapid testing for an infection is paramount during a pandemic to prevent continued viral spread and excess morbidity and mortality. This study aimed to determine whether alternative testing strategies based on sample pooling can increase
Externí odkaz:
http://arxiv.org/abs/2004.11851
Using the dual cone of sums of nonnegative circuits (SONC), we provide a relaxation of the global optimization problem to minimize an exponential sum and, as a special case, a multivariate real polynomial. Our approach builds on two key observations.
Externí odkaz:
http://arxiv.org/abs/2002.09368
This article considers the recovery of low-rank matrices via a convex nuclear-norm minimization problem and presents two null space properties (NSP) which characterize uniform recovery for the case of block-diagonal matrices and block-diagonal positi
Externí odkaz:
http://arxiv.org/abs/1907.09442
In the chapter "Magic with a Matrix" in \emph{Hexaflexagons and Other Mathematical Diversions} (1988), Martin Gardner describes a delightful "party trick" to fill the squares of a $d$-by-$d$ chessboard with nonnegative integers such that the sum of t
Externí odkaz:
http://arxiv.org/abs/1808.08797
Publikováno v:
The American Mathematical Monthly, 2020 Aug 01. 127(7), 594-601.
Externí odkaz:
https://www.jstor.org/stable/48662346
Publikováno v:
In Linear Algebra and Its Applications 15 October 2020 603:470-495