Results 11 to 20 of about 51 (37)
Equality cases of inequalities involving generalized Csiszár and Tsallis type f-divergences
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
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Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse AT,S(2)
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
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A Hadamard product involving inverse-positive matrices
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
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Hyponormal Toeplitz operators on the Bergman space
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
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A counterexample to the Drury permanent conjecture
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
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Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue
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
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On splittings of matrices and nonnegative generalized inverses
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
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Generalization of Golden-Thompson type inequalities for normal matrices
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
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Extensions of Three Matrix Inequalities to Semisimple Lie Groups
We give extensions of inequalities of Araki-Lieb-Thirring, Audenaert, and Simon, in the context ofsemisimple Lie groups.
Liu Xuhua, Tam Tin-Yau
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A simple sufficient condition for complete positivity
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
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