Results 11 to 20 of about 310 (39)
Interior points of the completely positive cone. [PDF]
, 2008 A matrix A is called completely positive if it can be decomposed as A = BB^T with an entrywise nonnegative matrix B. The set of all such matrices is a convex cone.
Dür, Mirjam, Still, Georg
core +6 more sources
A stabilization theorem for dynamics of continuous opinions [PDF]
, 2005 A stabilization theorem for processes of opinion dynamics is presented. The theorem is applicable to a wide class of models of continuous opinion dynamics based on averaging (like the models of Hegselmann-Krause and Weisbuch-Deffuant).
Ben-Naim +5 more
core +2 more sources
Lattice-like operations and isotone projection sets [PDF]
, 2013 By using some lattice-like operations which constitute extensions of ones introduced by M. S. Gowda, R. Sznajder and J. Tao for self-dual cones, a new perspective is gained on the subject of isotonicity of the metric projection onto the closed convex ...
Németh, A. B., Németh, S. Z.
core +1 more source
Extremal copositive matrices with minimal zero supports of cardinality two
, 2017 Let $A \in {\cal C}^n$ be an extremal copositive matrix with unit diagonal. Then the minimal zeros of $A$ all have supports of cardinality two if and only if the elements of $A$ are all from the set $\{-1,0,1\}$.
Hildebrand, Roland
core +4 more sources
Tensor Complementarity Problem and Semi-positive Tensors
, 2015 The tensor complementarity problem $(\q, \mathcal{A})$ is to $$\mbox{ find } \x \in \mathbb{R}^n\mbox{ such that }\x \geq \0, \q + \mathcal{A}\x^{m-1} \geq \0, \mbox{ and }\x^\top (\q + \mathcal{A}\x^{m-1}) = 0.$$ We prove that a real tensor $\mathcal ...
Qi, Liqun, Song, Yisheng
core +1 more source
Monotone matrix functions of successive orders [PDF]
, 2004 This paper extends a result obtained by Wigner and von Neumann. We prove that a non-constant real-valued function, f(x), in C^3(I) where I is an interval of the real line, is a monotone matrix function of order n+1 on I if and only if a related, modified
Nayak, Suhas
core
, 1998 The matrix pencil (A,B) = {tB-A | t \in C} is considered under the assumptions that A is entrywise nonnegative and B-A is a nonsingular M-matrix. As t varies in [0,1], the Z-matrices tB-A are partitioned into the sets L_s introduced by Fiedler and ...
Driessche, P. van den +4 more
core +2 more sources
Exposed faces of semidefinitely representable sets
, 2009 A linear matrix inequality (LMI) is a condition stating that a symmetric matrix whose entries are affine linear combinations of variables is positive semidefinite.
Netzer, Tim +2 more
core +1 more source
Lattice-ordered matrix algebras over real GCD-domains
, 2012 Let $ R \subset \R $ be a GCD-domain. In this paper, Weinberg's conjecture on the $ n \times n $ matrix algebra $ M_{n}(R) \ (n \geq 2) $ is proved. Moreover, all the lattice orders (up to isomorphisms) on a full $ 2 \times 2 $ matrix algebra over $ R ...
Bai, Xianlong, Li, Fei, Qiu, Derong
core +1 more source
A formula for Pl\"ucker coordinates associated with a planar network
, 2008 For a planar directed graph G, Postnikov's boundary measurement map sends positive weight functions on the edges of G onto the appropriate totally nonnegative Grassmann cell.
K. Talaska, Scott
core +2 more sources