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