Results 221 to 230 of about 71,800 (235)

Singular value inequalities for convex functions of positive semidefinite matrices

Annals of Functional Analysis, 2022
Ahmad Al-Natoor, O. Hirzallah, F. Kıttaneh   +2 more
semanticscholar   +1 more source

A Hilbert-Schmidt norm Inequality for positive semidefinite matrices related to a question of Bourin

Positivity (Dordrecht), 2022
M. Hayajneh, Saja Hayajneh, F. Kıttaneh
semanticscholar   +1 more source

Spectral decomposition of selfadjoint matrices in positive semidefinite inner product spaces and its applications

Linear and multilinear algebra, 2018
Given a positive semidefinite matrix A, we obtain spectral decomposition of A-selfadjoint matrices which act on a positive semidefinite inner product space in which the inner product is induced by A.
T. Tam, Pingping Zhang
semanticscholar   +1 more source

Unitarily invariant norm inequalities for positive semidefinite matrices

Linear Algebra and its Applications, 2021
Ahmad Al-Natoor, Sakina Benzamia, F. Kıttaneh   +2 more
semanticscholar   +1 more source

Comparison theorems for the minimum eigenvalue of a random positive-semidefinite matrix

arXiv.org
This paper establishes a new comparison principle for the minimum eigenvalue of a sum of independent random positive-semidefinite matrices. The principle states that the minimum eigenvalue of the matrix sum is controlled by the minimum eigenvalue of a ...
J. Tropp
semanticscholar   +1 more source

Positive semidefinite matrix supermartingales

Electronic Journal of Probability
We explore the asymptotic convergence and nonasymptotic maximal inequalities of supermartingales and backward submartingales in the space of positive semidefinite matrices.
Hongjian Wang, Aaditya Ramdas
semanticscholar   +1 more source

Curvature of the Manifold of Fixed-Rank Positive-Semidefinite Matrices Endowed with the Bures-Wasserstein Metric

International Conference on Geometric Science of Information, 2019
E. Massart, J. Hendrickx, P. Absil
semanticscholar   +1 more source

Norm inequalities for positive semidefinite matrices and a question of Bourin III

Positivity (Dordrecht), 2017
M. Hayajneh, Saja Hayajneh, F. Kıttaneh, Imane Lebaini   +3 more
semanticscholar   +1 more source

Interpolating inequalities for functions of positive semidefinite matrices

Banach Journal of Mathematical Analysis, 2018
Ahmad Al-Natoor, O. Hirzallah, F. Kıttaneh   +2 more
semanticscholar   +1 more source

Minimizing the sum of linear fractional functions over the cone of positive semidefinite matrices: Approximation and applications

Operations Research Letters, 2018
Yong Xia, Longfei Wang, Shu Wang
semanticscholar   +1 more source