Positivity of operator-matrices of Hua-type.
Propriétés de moindres carrés de la matrice de covariance d'un vecteur aléatoire et applications statistiques
Propriétés des matrices «bien localisées» près de leur diagonale et quelques applications
Rank, trace and determinant in Banach algebras: generalized Frobenius and Sylvester theorems
As a follow-up to a paper of Aupetit and Mouton (1996), we consider the spectral definitions of rank, trace and determinant applied to elements in a general Banach algebra. We prove a generalization of Sylvester's Determinant Theorem to Banach algebras and thereafter a generalization of the Frobenius inequality.
Remark to a problem on 0-1 matrices
Reverse rearrangement inequalities via matrix technics.
Reverses of the Golden-Thompson type inequalities due to Ando-Hiai-Petz.
Some characteristic quantities associated with homogeneous -type and -type functions.
Some inequalities for sums of nonnegative definite matrices in quaternions.
Some inequalities for the Khatri-Rao product of matrices.
Some inequalities involving upper bounds for some matrix operators. I
In this paper we consider the problem of finding upper bounds of certain matrix operators such as Hausdorff, Nörlund matrix, weighted mean and summability on sequence spaces and Lorentz sequence spaces , which was recently considered in [9] and [10] and similarly to [14] by Josip Pecaric, Ivan Peric and Rajko Roki. Also, this study is an extension of some works by G. Bennett on spaces, see [1] and [2].
Some matrix inequalities of London type
Some new results on determinantal inequalities and applications.
Some norm inequalities for special Gram matrices
In this paper we firstly give majorization relations between the vectors Fn = {f0, f1, . . . , fn−1},Ln = {l0, l1, . . . , ln−1} and Pn = {p0, p1, . . . , pn−1} which constructed with fibonacci, lucas and pell numbers. Then we give upper and lower bounds for determinants, Euclidean norms and Spectral norms of Gram matrices GF=〈Fn,Fni〉, GL=〈Ln,Lni〉, GP=〈Pn,Pni〉, GFL=〈Fn,Lni〉, GFP=〈Fn,Pni〉.
Some remarks on operators preserving partial orders of matrices
Stępniak [Linear Algebra Appl. 151 (1991)] considered the problem of equivalence of the Löwner partial order of nonnegative definite matrices and the Löwner partial order of squares of those matrices. The paper was an important starting point for investigations of the problem of how an order between two matrices A and B from different sets of matrices can be preserved for the squares of the corresponding matrices A² and B², in the sense of the Löwner partial ordering, the star partial ordering,...
Some results on matrices with prescribed diagonal elements, eigenvalues and singular values
Some sharp inequalities for Dirac type operators.
Some stochastic comparison results for series and parallel systems with heterogeneous Pareto type components
We focus on stochastic comparisons of lifetimes of series and parallel systems consisting of independent and heterogeneous new Pareto type components. Sufficient conditions involving majorization type partial orders are provided to obtain stochastic comparisons in terms of various magnitude and dispersive orderings which include usual stochastic order, hazard rate order, dispersive order and right spread order. The usual stochastic order of lifetimes of series systems with possibly different scale...
Spectra of expansion graphs.
Spectrum localization of regular matrix polynomials and functions.