Algorithmes tronques de découpe linéaire
An Inequality for Matrices
An upper bound for the determinant of a matrix with given entry sum and square sum.
Bounds for Vandermonde type determinants of orthogonal polynomials.
Bounds on the coefficients of the characteristic and minimal polynomials.
Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices.
Bounds on the spectral radius of Hadamard products of positive operators on -spaces.
Brascamp--Lieb inequalities for non-commutative integration.
Characterization of the trace by Young's inequality.
Characterizations of tracial property via inequalities.
Convex and monotone operator functions
The purpose of this note is to provide characterizations of operator convexity and give an alternative proof of a two-dimensional analogue of a theorem of Löwner concerning operator monotonicity.
Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture
Delay-dependent exponential stability for discrete-time BAM neural networks with time-varying delays.
Ein einfacher geometrischer Beweis für die Determinantenungleichung von O. Szasz.
Estimates for absolute values of matrix functions.
Estimates of determinants and of the elements of the inverse matrix under conditions of Ostrovskii theorem.
Estimation of the noncentrality matrix of a noncentral Wishart distribution with unit scale matrix. A matrix generalization of Leung's domination result.
The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung's but generalized to a matrix loss function. Parallelly Leung's scalar noncentral Wishart identity is generalized to become a matrix identity. The concept of Löwner partial ordering of symmetric matrices is used.
Exponential polynomial inequalities and monomial sum inequalities in -Newton sequences
We consider inequalities between sums of monomials that hold for all p-Newton sequences. This continues recent work in which inequalities between sums of two, two-term monomials were combinatorially characterized (via the indices involved). Our focus is on the case of sums of three, two-term monomials, but this is very much more complicated. We develop and use a theory of exponential polynomial inequalities to give a sufficient condition for general monomial sum inequalities, and use the sufficient...
Extension and generalization inequalities involving the Khatri-Rao product of several.
Extension of Wang-Gong monotonicity result in semisimple Lie groups
We extend a monotonicity result of Wang and Gong on the product of positive definite matrices in the context of semisimple Lie groups. A similar result on singular values is also obtained.