Lieb's concavity theorem, matrix geometric means, and semidefinite optimization

Author:

Fawzi Hamza,Saunderson JamesORCID

Funder

AFOSR

NSF

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference31 articles.

1. Nonadditive generalization of the quantum Kullback–Leibler divergence for measuring the degree of purification;Abe;Phys. Rev. A,2003

2. Positive Definite Matrices;Bhatia,2009

3. Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications;Ben-Tal,2001

4. Trace inequalities and quantum entropy. An introductory course;Carlen,2010

5. A Minkowski type trace inequality and strong subadditivity of quantum entropy II: convexity and concavity;Carlen;Lett. Math. Phys.,2008

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