Results 11 to 20 of about 51 (37)

Equality cases of inequalities involving generalized Csiszár and Tsallis type f-divergences

open access: yesMathematical Inequalities & Applications, 2019
In this note, we study the problem of equality case of two inequalities involving generalized Csiszár f -divergences and generalized Tsallis f -divergences, respectively, with a convex function f .
M. Niezgoda
semanticscholar   +1 more source

Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse AT,S(2)

open access: yesSpecial Matrices, 2018
We in this paper define the outer-Perron-Frobenius splitting, which is an extension of the pseudo- Perron-Frobenius splitting defined in [A.N. Sushama, K. Premakumari, K.C.
Huang Shaowu   +3 more
doaj   +1 more source

A Hadamard product involving inverse-positive matrices

open access: yesSpecial Matrices, 2015
In this paperwe study the Hadamard product of inverse-positive matrices.We observe that this class of matrices is not closed under the Hadamard product, but we show that for a particular sign pattern of the inverse-positive matrices A and B, the Hadamard
Gassó Maria T.   +2 more
doaj   +1 more source

Hyponormal Toeplitz operators on the Bergman space

open access: yes, 2017
A Hilbert space operator is hyponormal if T ∗T − TT ∗ is positive. We consider hyponormality of Toeplitz operators on the Bergman space with a symbol in the class of f + g where f is a monomial and g is a polynomial.
Houcine Sadraoui, M. Guediri
semanticscholar   +1 more source

A counterexample to the Drury permanent conjecture

open access: yesSpecial Matrices, 2017
We offer a counterexample to a conjecture concerning the permanent of positive semidefinite matrices. The counterexample is a 4 × 4 complex correlation matrix.
Hutchinson George
doaj   +1 more source

Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue

open access: yesSpecial Matrices, 2020
Let A = [aij] be a real symmetric matrix. If f : (0, ∞) → [0, ∞) is a Bernstein function, a sufficient condition for the matrix [f (aij)] to have only one positive eigenvalue is presented.
Al-Saafin Doaa, Garloff Jürgen
doaj   +1 more source

On splittings of matrices and nonnegative generalized inverses

open access: yes, 2012
The authors introduce a new type of matrix splitting generalizing the notion of B splitting and study its relationships with nonnegativity of the Moore-Penrose inverse and the group inverse. Mathematics subject classification (2010): 15A09, 15B48.
Debasisha Mishra   +4 more
semanticscholar   +1 more source

Generalization of Golden-Thompson type inequalities for normal matrices

open access: yes, 2016
We survey some well-known matrix exponential formulae, with emphasis on logmajorization results, by using the compound matrix method. Mathematics subject classification (2010): 15A45, 15B48.
Xuhua Liu
semanticscholar   +1 more source

Extensions of Three Matrix Inequalities to Semisimple Lie Groups

open access: yesSpecial Matrices, 2014
We give extensions of inequalities of Araki-Lieb-Thirring, Audenaert, and Simon, in the context ofsemisimple Lie groups.
Liu Xuhua, Tam Tin-Yau
doaj   +1 more source

A simple sufficient condition for complete positivity

open access: yes, 2015
We use row sums and rank to give a sufficient condition on the diagonal entries of a doubly nonnegative matrix for it to be completely positive and its cp-rank equal to its rank. Mathematics subject classification (2010): 15A23, 15B48, 15B57.
W. So, Changqing Xu
semanticscholar   +1 more source

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