Results 21 to 30 of about 371 (70)
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 +3 more sources
A Geometric Proof of the Perron-Frobenius Theorem [PDF]
, 1992 Sin ...
Borobia, Alberto, Trias Ujué, R.
core +2 more sources
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
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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
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BelgeoThis article explores the biographical mobility and residential trajectories of three individuals identifying as queer and living in a housing cooperative – which will be referred to as Tossal –located in the ruins of a former factory on the margins of ...
Hugo Soucaze
doaj +1 more source
Positive commutators and collections of operators
, 2012 Let A and B be completely decomposable nonnegative matrices such that the commutator AB− BA is also a nonnegative matrix. We prove that the set {A,B} is completely decomposable, i.e., there exists a permutation matrix P such that PAP−1 and PBP−1 are ...
R. Drnovšek, Martin Jesenko, M. Kandić
semanticscholar +1 more source
ON THE INVARIANT FACES ASSOCIATED WITH A CONE-PRESERVING MAP [PDF]
, 1998 For an n×n nonnegative matrix P , an isomorphism is obtained between the lattice of initial subsets (of {1, · · · , n}) for P and the lattice of P -invariant faces of the nonnegative orthant R+.
B. Tam, H. Schneider
semanticscholar +1 more source
Inverse elementary divisor problems for nonnegative matrices
, 2011 The aim of this paper is to answer three questions formulated by H. Minc in his two papers and book on the problem of prescribed elementary divisors for entrywise nonnegative or doubly stochastic matrices.
B. Nagy
semanticscholar +1 more source
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
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, 2010 We propose new notions of monotonicity for real matrices in order to characterize a particular notion of interval boundedness of various generalized inverses. AMS Subject Classification: 15A09, 15A48.
Sachindranath Jayaraman, K. Sivakumar
semanticscholar +1 more source