14 citations · 17 across the 6 of their papers we have counts for
6 papers
Polytopes of Stochastic Tensors
Haixia Chang, Vehbi E. Paksoy, Fuzhen Zhang
Considering stochastic tensors (i.e., nonnegative hypermatrices in which every sum over one index , , or , is 1), we study the polytope ($Ω…
An update on a few permanent conjectures
Fuzhen Zhang
We review and update on a few conjectures concerning matrix permanent that are easily stated, understood, and accessible to general math audience. They are: Soules permanent-on-top…
An inequality for tensor product of positive operators and its applications
Xaixia Chang, Vehbi E. Paksoy, Fuzhen Zhang
We present an inequality for tensor product of positive operators on Hilbert spaces by considering the tensor product of operators as words on certain alphabets (i.e., a set of let…
Book Review: Matrix Theory by X. Zhan
Fuzhen Zhang
This is a book review for Zhan's Matrix Theory (AMS, GSM 147, 2013).
Positivity of Partitioned Hermitian Matrices with Unitarily Invariant Norms
Chi-Kwong Li, Fuzhen Zhang
We give a short proof of a recent result of Drury on the positivity of a matrix of the form for any rectangular complex (or…
Angles, triangle inequalities, correlation matrices and metric-preserving and subadditive functions
Diego Castano, Vehbi E. Paksoy, Fuzhen Zhang
We study the triangle inequalities for angles (with different definitions) and present inequalities concerning the entries of correlation matrices through the positivity of $3\time…