Results 91 to 100 of about 54,917 (203)
Leaky positive semidefinite forcing on graphs
Involve, a Journal of MathematicsWe introduce $\ell$-leaky positive semidefinite forcing and the $\ell$-leaky positive semidefinite number of a graph, $Z_{(\ell)}^+{G}$, which combines the positive semidefinite color change rule with the addition of leaks to the graph. Furthermore, we determine general properties of $Z_{(\ell)}^+{G}$ and $Z_{(\ell)}^+{G}$ for various graphs, including
Elias, Olivia +4 more
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The resolvent average for positive semidefinite matrices
Linear Algebra and its Applications, 2010 We define a new average - termed the resolvent average - for positive semidefinite matrices. For positive definite matrices, the resolvent average enjoys self-duality and it interpolates between the harmonic and the arithmetic averages, which it approaches when taking appropriate limits. We compare the resolvent average to the geometric mean.
Bauschke, Heinz H. +2 more
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On the asymptotic Bieberbach conjecture
International Journal of Mathematics and Mathematical Sciences, 1982 The set S consists of complex functions f, univalent in the open unit disk, with f(0)=f'(0)-1=0. We use the asymptotic behavior of the positive semidefinite FitzGerald matrix to show that there is an absolute constant N0 such that, for any f(z)=z+?n ...
Mauriso Alves, Armando J. P. Cavalcante
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The Complexity of Positive Semidefinite Matrix Factorization [PDF]
SIAM Journal on Optimization, 2017 11 ...
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Purifications of multipartite states: limitations and constructive methods
New Journal of Physics, 2013 We analyze the description of quantum many-body mixed states using matrix product states and operators. We consider two such descriptions: (i) as a matrix product density operator of bond dimension D ; and (ii) as a purification that is written as a ...
Gemma De las Cuevas +3 more
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Correcting for finite statistics effects in a quantum steering experiment
Physical Review ResearchVerifying entanglement between parties is essential for creating secure quantum communication. However, finite statistics can lead to false positive outcomes in any tests for entanglement.
Sophie Engineer +9 more
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RisksThis paper proposes a nonparametric estimator of the spot volatility matrix with high-frequency data. Our newly proposed Positive Definite Fourier (PDF) estimator produces symmetric positive semi-definite estimates and is consistent with a suitable ...
Jiro Akahori +5 more
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A sequential semidefinite programming method and an application in passive reduced-order modeling
, 2005 We consider the solution of nonlinear programs with nonlinear semidefiniteness constraints. The need for an efficient exploitation of the cone of positive semidefinite matrices makes the solution of such nonlinear semidefinite programs more complicated ...
Freund, Roland W. +2 more
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Regression on fixed-rank positive semidefinite matrices: a Riemannian approach [PDF]
, 2011 The paper addresses the problem of learning a regression model parameterized by a fixed-rank positive semidefinite matrix. The focus is on the nonlinear nature of the search space and on scalability to high-dimensional problems.
Bonnabel, Silvere +2 more
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Hyperbolic Polynomials and Generalized Clifford Algebras [PDF]
, 2012 We consider the problem of realizing hyperbolicity cones as spectrahedra, i.e. as linear slices of cones of positive semidefinite matrices. The generalized Lax conjecture states that this is always possible. We use generalized Clifford algebras for a new
Netzer, Tim, Thom, Andreas
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