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Affine processes on positive semidefinite matrices [PDF]
SSRN Electronic Journal, 2011 This article provides the mathematical foundation for stochastically continuous affine processes on the cone of positive semidefinite symmetric matrices.
Cuchiero, Christa +3 more
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Fall Detection of Elderly People Using the Manifold of Positive Semidefinite Matrices [PDF]
Journal of Imaging, 2021 Falls are one of the most critical health care risks for elderly people, being, in some adverse circumstances, an indirect cause of death. Furthermore, demographic forecasts for the future show a growing elderly population worldwide.
Abdessamad Youssfi Alaoui +5 more
doaj +2 more sources
Simply Exponential Approximation of the Permanent of Positive Semidefinite Matrices [PDF]
, 2017 We design a deterministic polynomial time $c^n$ approximation algorithm for the permanent of positive semidefinite matrices where $c=e^{\gamma+1}\simeq 4.84$.
Anari, Nima +3 more
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The Resolvent Average for Positive Semidefinite Matrices [PDF]
Linear Algebra and its Applications, 2009 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 ...
Bauschke, Heinz H. +2 more
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Monotonicity of positive semidefinite Hermitian matrices [PDF]
Proceedings of the American Mathematical Society, 1972 Inequalities which compare elements of the convex cone of positive semidefinite hermitian matrices with products of roots of elements are proved. They yield inequalities for Schur functions (generalized matrix functions) which, when specialized to the determinant, give a result of R. Bellman and L. Mirsky.
Russell Merris, Stephen Pierce
+4 more sources
On a parametrization of positive semidefinite matrices with zeros [PDF]
SIAM Journal on Matrix Analysis and Applications, 2010 We study a class of parametrizations of convex cones of positive semidefinite matrices with prescribed zeros. Each such cone corresponds to a graph whose non-edges determine the prescribed zeros.
Drton, Mathias, Yu, Josephine
core +3 more sources
Fischer Type Log-Majorization of Singular Values on Partitioned Positive Semidefinite Matrices [PDF]
Journal of Function Spaces, 2021 In this paper, we establish a Fischer type log-majorization of singular values on partitioned positive semidefinite matrices, which generalizes the classical Fischer's inequality. Meanwhile, some related and new inequalities are also obtained.
Benju Wang, Yun Zhang
doaj +2 more sources
A permanent inequality for positive semidefinite matrices
The Electronic Journal of Linear Algebra, 2023 In this paper, we prove an inequality involving the permanent of a positive semidefinite matrix and its leading submatrices. We obtain a result in the similar spirit of Bapat-Sunder per-max conjecture.
Vehbi Emrah Paksoy
openalex +4 more sources
Hanner's Inequality For Positive Semidefinite Matrices
, 2021 Error in Theorem 3.1 requires significant ...
Victoria M Chayes
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Trace inequalities for positive semidefinite matrices
Discussiones Mathematicae - General Algebra and Applications, 2017 Certain trace inequalities for positive definite matrices are generalized for positive semidefinite matrices using the notion of the group generalized inverse.
Choudhury Projesh Nath, Sivakumar K.C.
doaj +3 more sources