Results 51 to 60 of about 424 (74)
Graph isomorphism and volumes of convex bodies [PDF]
, 2009 We show that a nontrivial graph isomorphism problem of two undirected graphs, and more generally, the permutation similarity of two given $n\times n$ matrices, is equivalent to equalities of volumes of the induced three convex bounded polytopes ...
Friedland, Shmuel
core
On Humbert-Minkowski's constant for a number field
, 1997 We use Humbert's reduction theory to introduce an obstruction for the unimodularity of minimal vectors of positive definite quadratic forms over totally real number fields.
R. Baeza, María Inés Icaza
semanticscholar +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
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
, 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
Combinatorial aspects of generalized complementary basic matrices
Open Mathematics, 2013 Fiedler Miroslav, Hall Frank
doaj +1 more source
Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices. [PDF]
J Inequal Appl, 2018 Hong Y, Lim D, Qi F.
europepmc +1 more source
A new localization set for generalized eigenvalues. [PDF]
J Inequal Appl, 2017 Gao J, Li C.
europepmc +1 more source