Results 11 to 20 of about 5,647,728 (213)
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
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Trace inequalities for positive semidefinite matrices [PDF]
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.
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Affine Processes on Positive Semidefinite Matrices [PDF]
The Annals of Applied Probability, 2009 This paper provides the mathematical foundation for stochastically continuous affine processes on the cone of positive semidefinite symmetric matrices. These matrix-valued affine processes have arisen from a large and growing range of useful applications in finance, including multi-asset option pricing with stochastic volatility and correlation ...
Cuchiero, Christa +3 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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Binary Positive Semidefinite Matrices and Associated Integer Polytopes [PDF]
Mathematical Programming, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adam N. Letchford +1 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.
Merris, R., Pierce, Stephen
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Matrices with high completely positive semidefinite rank [PDF]
Linear Algebra and its Applications, 2017 A real symmetric matrix $M$ is completely positive semidefinite if it admits a Gram representation by (Hermitian) positive semidefinite matrices of any size $d$. The smallest such $d$ is called the (complex) completely positive semidefinite rank of $M$, and it is an open question whether there exists an upper bound on this number as a function of the ...
S.J. Gribling (Sander) +2 more
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Fischer Type Log-Majorization of Singular Values on Partitioned Positive Semidefinite Matrices
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
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Transformation of non positive semidefinite correlation matrices
Communications in Statistics - Theory and Methods, 1993 In multivariate statistics, estimation of the covariance or correlation matrix is of crucial importance. Computational and other arguments often lead to the use of coordinate-dependent estimators, yielding matrices that are symmetric but not positive semidefinite.
Rousseeuw, P.J., Molenberghs, G.
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Low-rank matrix approximations over canonical subspaces
Journal of Numerical Analysis and Approximation Theory, 2020 In this paper we derive closed form expressions for the nearest rank-\(k\) matrix on canonical subspaces. We start by studying three kinds of subspaces. Let \(X\) and \(Y\) be a pair of given matrices. The first subspace contains all the \(m\times
Achiya Dax
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