Add to ORKGIn this paper, we discuss the Tsallis relative entropy with negative parameters for positive semidefinite matrices. Moreover, we give a simple proof that the Karcher mean for positive semidefinite matrices is the unique positive semidefinite solution of the extended Karcher equation
Kullback-Leibler relative-entropy has unique properties in cases involving distributions resulting f...
The Tsallis entropy given for a positive parameter α can be considered as a generalization of ...
We give a partial answer to a question raised by Bratteli and Robinson, by showing that the mean ent...
In this paper, we show some fundamental properties of the quatum Tsallis relative entropy of negativ...
In this paper, we present a generalization of Tsallis relative operator entropy defined for positive...
In this paper, we shall give a concrete relation between generalized Karcher equation and operator m...
Abstract. Tsallis relative operator entropy was defined as a parametric extension of relative operat...
AbstractTsallis relative operator entropy was defined as a parametric extension of relative operator...
AbstractWe define a new family of matrix means {Pt(ω;A)}t∈[−1,1], where ω and A vary over all positi...
AbstractTsallis relative operator entropy is defined and then its properties are given. Shannon ineq...
In recent decades, intensive research has been devoted to the study of various operator entropies. ...
AbstractWe shall discuss relation among Tsallis relative operator entropy Tp(A∣B), the relative oper...
AbstractBased on Kolmogorov's idea, complexity of positive definite matrices with respect to a unit ...
Tsallis and Kaniadakis entropies are generalizing the Shannon entropy and have it as their limit whe...
We obtain formulas for Petz-Rényi and Umegaki relative entropy from the idea of distribution of a po...
Kullback-Leibler relative-entropy has unique properties in cases involving distributions resulting f...
The Tsallis entropy given for a positive parameter α can be considered as a generalization of ...
We give a partial answer to a question raised by Bratteli and Robinson, by showing that the mean ent...
In this paper, we show some fundamental properties of the quatum Tsallis relative entropy of negativ...
In this paper, we present a generalization of Tsallis relative operator entropy defined for positive...
In this paper, we shall give a concrete relation between generalized Karcher equation and operator m...
Abstract. Tsallis relative operator entropy was defined as a parametric extension of relative operat...
AbstractTsallis relative operator entropy was defined as a parametric extension of relative operator...
AbstractWe define a new family of matrix means {Pt(ω;A)}t∈[−1,1], where ω and A vary over all positi...
AbstractTsallis relative operator entropy is defined and then its properties are given. Shannon ineq...
In recent decades, intensive research has been devoted to the study of various operator entropies. ...
AbstractWe shall discuss relation among Tsallis relative operator entropy Tp(A∣B), the relative oper...
AbstractBased on Kolmogorov's idea, complexity of positive definite matrices with respect to a unit ...
Tsallis and Kaniadakis entropies are generalizing the Shannon entropy and have it as their limit whe...
We obtain formulas for Petz-Rényi and Umegaki relative entropy from the idea of distribution of a po...
Kullback-Leibler relative-entropy has unique properties in cases involving distributions resulting f...
The Tsallis entropy given for a positive parameter α can be considered as a generalization of ...
We give a partial answer to a question raised by Bratteli and Robinson, by showing that the mean ent...