Results 21 to 30 of about 310 (39)
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
Infinite products of nonnegative $2\times2$ matrices by nonnegative vectors
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
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
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
Approximating orthogonal matrices by permutation matrices
Motivated in part by a problem of combinatorial optimization and in part by analogies with quantum computations, we consider approximations of orthogonal matrices U by ``non-commutative convex combinations'' A of permutation matrices of the type A=sum ...
Barvinok, Alexander
core +2 more sources
Weak Gibbs property and system of numeration
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
Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices. [PDF]
Hong Y, Lim D, Qi F.
europepmc +1 more source
Combinatorial aspects of generalized complementary basic matrices
Fiedler Miroslav, Hall Frank
doaj +1 more source
A new localization set for generalized eigenvalues. [PDF]
Gao J, Li C.
europepmc +1 more source

