Results 31 to 40 of about 419 (42)
Mapping Cones are Operator Systems
, 2011 We investigate the relationship between mapping cones and matrix ordered *-vector spaces (i.e., abstract operator systems). We show that to every mapping cone there is an associated operator system on the space of n-by-n complex matrices, and furthermore
Johnston, Nathaniel, Størmer, Erling
core +1 more source
The Computational Complexity of Duality
, 2016 We show that for any given norm ball or proper cone, weak membership in its dual ball or dual cone is polynomial-time reducible to weak membership in the given ball or cone.
Friedland, Shmuel, Lim, Lek-Heng
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Rank properties of exposed positive maps
, 2012 Let $\cK$ and $\cH$ be finite dimensional Hilbert spaces and let $\fP$ denote the cone of all positive linear maps acting from $\fB(\cK)$ into $\fB(\cH)$. We show that each map of the form $\phi(X)=AXA^*$ or $\phi(X)=AX^TA^*$ is an exposed point of $\fP$.
Eom MH +3 more
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Matrices having a positive determinant and all other minors nonpositive
Special MatricesThe class of square matrices of order nn having a positive determinant and all their minors up to order n−1n-1 nonpositive is considered. A characterization of these matrices based on the Cauchon algorithm is presented, which provides an easy test for ...
Hassuneh Imad +2 more
doaj +1 more source
Refined inertias of positive and hollow positive patterns
Special MatricesWe investigate refined inertias of positive patterns and patterns that have each off-diagonal entry positive and each diagonal entry zero, i.e., hollow positive patterns. For positive patterns, we prove that every refined inertia (n+,n−,nz,2np)\left({n}_{
Berliner Adam H. +3 more
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On Complex Matrix-Variate Dirichlet Averages and Its Applications in Various Sub-Domains. [PDF]
Entropy (Basel), 2023 Thankamani P, Sebastian N, Haubold HJ.
europepmc +1 more source
, 2017 This paper explicitly details the relation between $M$-matrices, nonnegative roots of nonnegative matrices, and the embedding problem for finite-state stationary Markov chains.
Van-Brunt, Alexander
core
The totally nonnegative part of G/P is a ball
, 2019 We show that the totally nonnegative part of a partial flag variety (in the sense of Lusztig) is homeomorphic to a closed ball.Comment: 6 pages. v2: Proof of Lemma 1 moved to arXiv:1707.02010.
Galashin, Pavel +2 more
core
Monotonicity of the number of positive entries in nonnegative matrix powers. [PDF]
J Inequal Appl, 2018 Xie Q.
europepmc +1 more source
Inertias and ranks of some Hermitian matrix functions with applications
Open Mathematics, 2012 Zhang Xiang, Wang Qing-Wen, Liu Xin
doaj +1 more source