Results 21 to 30 of about 310 (43)
A Geometric Proof of the Perron-Frobenius Theorem [PDF]
Sin ...
Borobia, Alberto, Trias Ujué, R.
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Tensor Complementarity Problem and Semi-positive Tensors
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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This 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
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Exposed faces of semidefinitely representable sets
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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The Luk\'{a}cs--Olkin--Rubin theorem on symmetric cones [PDF]
In this paper we prove a Luk\'{a}cs type characterization theorem of the Wishart distribution on Euclidean simple Jordan algebras under weak regularity assumptions (e.g.
Gselmann, Eszter
core
Monotone matrix functions of successive orders [PDF]
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
Monotonic Properties of the Least Squares Mean
We settle an open problem of several years standing by showing that the least-squares mean for positive definite matrices is monotone for the usual (Loewner) order.
Lawson, Jimmie, Lim, Yongdo
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Interiors of completely positive cones [PDF]
A symmetric matrix $A$ is completely positive (CP) if there exists an entrywise nonnegative matrix $B$ such that $A = BB^T$. We characterize the interior of the CP cone.
Fan, Jinyan, Zhou, Anwa
core
M-matrices satisfy Newton's inequalities
Newton's inequalities $c_n^2 \ge c_{n-1}c_{n+1}$ are shown to hold for the normalized coefficients $c_n$ of the characteristic polynomial of any $M$- or inverse $M$-matrix.
Holtz, Olga
core +1 more source
Given positive numbers p_1 < p_2 < ... < p_n, and a real number r let L_r be the n by n matrix with its (i,j) entry equal to (p_i^r-p_j^r)/(p_i-p_j). A well-known theorem of C. Loewner says that L_r is positive definite when 0 < r < 1.
Bhatia, Rajendra +2 more
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