Semidefinite Approximations of the Matrix Logarithm

The matrix logarithm, when applied to Hermitian positive definite matrices, is concave with respect to the positive semidefinite order. This operator concavity property leads to numerous concavity and convexity results for other matrix functions, many of which are of importance in quantum informatio...

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Bibliographic Details
Main Authors: Fawzi, Hamza, Saunderson, James, Parrilo, Pablo A.
Other Authors: Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Format: Article
Language:English
Published: Springer Nature 2019
Online Access:https://hdl.handle.net/1721.1/121533

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