scholarly journals Variational Properties of Matrix Functions via the Generalized Matrix-Fractional Function

2019 ◽  
Vol 29 (3) ◽  
pp. 1958-1987
Author(s):  
James V. Burke ◽  
Yuan Gao ◽  
Tim Hoheisel
Keyword(s):  
Matrix Functions ◽  
Generalized Matrix ◽  
Fractional Function

scholarly journals Generalized matrix functions

1965 ◽  
Vol 116 ◽  
pp. 316-316 ◽  
Author(s):  
Marvin Marcus ◽  
Henryk Minc
Keyword(s):  
Matrix Functions ◽  
Generalized Matrix

scholarly journals Convex Geometry of the Generalized Matrix-Fractional Function

2018 ◽  
Vol 28 (3) ◽  
pp. 2189-2200 ◽  
Author(s):  
James V. Burke ◽  
Yuan Gao ◽  
Tim Hoheisel
Keyword(s):  
Convex Geometry ◽  
Generalized Matrix ◽  
Fractional Function

On Derivatives and Norms of Generalized Matrix Functions and Respective Symmetric Powers

2015 ◽  
Vol 30 ◽  
Author(s):  
Sonia Carvalho ◽  
Pedro Freitas
Keyword(s):  
Symmetric Group ◽  
Symmetric Tensor ◽  
Directional Derivatives ◽  
Matrix Functions ◽  
Tensor Power ◽  
Symmetric Powers ◽  
Generalized Matrix ◽  
Derivatives Of

In recent papers, S. Carvalho and P. J. Freitas obtained formulas for directional derivatives, of all orders, of the immanant and of the m-th $\xi$-symmetric tensor power of an operator and a matrix, when $\xi$ is a character of the full symmetric group. The operator bound norm of these derivatives was also calculated. In this paper similar results are established for generalized matrix functions and for every symmetric tensor power.

Interpretation of generalized matrix functions via geometric measure of quantum entanglement

2015 ◽  
Vol 13 (07) ◽  
pp. 1550049
Author(s):  
Haixia Chang ◽  
Vehbi E. Paksoy ◽  
Fuzhen Zhang
Keyword(s):  
Representation Theory ◽  
Symmetric Group ◽  
Quantum Entanglement ◽  
Geometric Interpretation ◽  
Matrix Functions ◽  
Irreducible Characters ◽  
Geometric Measure ◽  
Generalized Matrix

By using representation theory and irreducible characters of the symmetric group, we introduce character dependent states and study their entanglement via geometric measure. We also present a geometric interpretation of generalized matrix functions via this entanglement analysis.

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