Results 11 to 20 of about 40,316 (199)

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, Youness Tabii, Rachid Oulad Haj Thami, Mohamed Daoudi, Stefano Berretti, Pietro Pala   +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 $c=e^{\gamma+1}\simeq 4.84$.
Nima Anari, Leonid Gurvits, Shayan Oveis Gharan, Amin Saberi   +3 more
openalex   +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

Affine processes on positive semidefinite matrices [PDF]

, 2011
This article provides the mathematical foundation for stochastically continuous affine processes on the cone of positive semidefinite symmetric matrices.
Christa Cuchiero, Damir Filipović, Eberhard Mayerhofer, Josef Teichmann   +3 more
openalex   +4 more sources

Riccati equation and metric geometric means of positive semidefinite matrices involving semi-tensor products

AIMS Mathematics, 2023
We investigate the Riccati matrix equation $ X A^{-1} X = B $ in which the conventional matrix products are generalized to the semi-tensor products $ \ltimes $. When $ A $ and $ B $ are positive definite matrices satisfying the factor-dimension condition,
Pattrawut Chansangiam, Arnon Ploymukda
doaj   +2 more sources

Singular Value and Matrix Norm Inequalities between Positive Semidefinite Matrices and Their Blocks [PDF]

Journal of Mathematics
In this paper, we obtain some inequalities involving positive semidefinite 2×2 block matrices and their blocks.
Feng Zhang, Rong Ma, Chunwen Zhang, Yuxin Cao   +3 more
doaj   +2 more sources

Disjoint sections of positive semidefinite matrices and their applications in linear statistical models

Special Matrices
Given matrices AA and BB of the same order, AA is called a section of BB if R(A)∩R(B−A)={0}{\mathscr{R}}\left(A)\cap {\mathscr{R}}\left(B-A)=\left\{0\right\} and R(AT)∩R((B−A)T)={0}{\mathscr{R}}\left({A}^{T})\cap {\mathscr{R}}\left({\left(B-A)}^{T ...
Eagambaram N.
doaj   +2 more sources

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
doaj   +7 more sources

On Some Matrix Trace Inequalities

Journal of Inequalities and Applications, 2010
We first present an inequality for the Frobenius norm of the Hadamard product of two any square matrices and positive semidefinite matrices. Then, we obtain a trace inequality for products of two positive semidefinite block matrices by using 2×2 ...
Ramazan Türkmen, Zübeyde Ulukök   +1 more
doaj   +2 more sources

A trace bound for integer-diagonal positive semidefinite matrices

Special Matrices, 2020
We prove that an n-by-n complex positive semidefinite matrix of rank r whose graph is connected, whose diagonal entries are integers, and whose non-zero off-diagonal entries have modulus at least one, has trace at least n + r − 1.
Mitchell Lon
doaj   +1 more source