Results 31 to 40 of about 371 (70)
The Luk\'{a}cs--Olkin--Rubin theorem on symmetric cones [PDF]
, 2014 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]
, 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
Interiors of completely positive cones [PDF]
, 2014 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
Monotonic Properties of the Least Squares Mean
, 2010 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
core +1 more source
On the rate of convergence of the image space reconstruction algorithm
, 2009 The Image Space Reconstruction Algorithm (ISRA) of Daube–Witherspoon and Muehllehner is a multiplicative algorithm for solving nonnegative least squares problems. Eggermont has proved the global convergence of this algorithm.
Jianda Han +3 more
semanticscholar +1 more source
, 2015 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
core
M-matrices satisfy Newton's inequalities
, 2005 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
Weak Gibbs property and system of numeration
, 2006 We study the selfsimilarity and the Gibbs properties of several measures defined on the product space $\Omega\_r:=\{0,1,...,\break r-1\}^{\mathbb N}$. This space can be identified with the interval $[0,1]$ by means of the numeration in base $r$. The last
Olivier, Eric, Thomas, Alain
core +1 more source
Infinite products of nonnegative $2\times2$ matrices by nonnegative vectors
, 2010 Given a finite set $\{M_0,\dots,M_{d-1}\}$ of nonnegative $2\times 2$ matrices and a nonnegative column-vector $V$, we associate to each $(\omega_n)\in\{0,\dots,d-1\}^\mathbb N$ the sequence of the column-vectors $\displaystyle{M_{\omega_1}\dots M_ ...
Thomas, Alain
core +1 more source
, 2010 If a left-product $M_n... M_1$ of square complex matrices converges to a nonnull limit when $n\to\infty$ and if the $M_n$ belong to a finite set, it is clear that there exists an integer $n_0$ such that the $M_n$, $n\ge n_0$, have a common right ...
Thomas, Alain
core +1 more source