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The matrix logarithm, when applied to Hermitian positive definite matrices, is concave with respect to the positive semidefinite order.
An algorithm for computing logarithms and arctangents
B. C. Carlson · 1972
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Hilbert’s metric and positive contraction mappings in a Banach space
Peter J Bushell · 1973
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Elliott H. Lieb · 1973
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Proof of the strong subadditivity of quantum mechanical entropy
Elliott H. Lieb and Mary Beth Ruskai · 1973
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Jensen’s inequality for operators and Löwner’s theorem
Frank Hansen and Gert K. Pedersen · 1982
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Relative operator entropy in noncommutative information theory
J.I. Fujii and Eizaburo Kamei · 1989
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Condition estimates for matrix functions
Charles Kenney and Alan J. Laub · 1989
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Computational techniques for real logarithms of matrices
Luca Dieci, Benedetta Morini, and Alessandra Papini · 1996
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Lectures on modern convex optimization: analysis, algorithms, and engineering applications
Aharon Ben-Tal and Arkadi Nemirovski · 2001
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Introduction to numerical analysis
Josef Stoer and Roland Bulirsch · 2002
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Yurii E. Nesterov · 2006
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A tutorial on geometric programming
Stephen Boyd, Seung-Jean Kim, Lieven Vandenberghe, and Arash Hassibi · 2007
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Nicholas J. Higham · 2008
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Is Gauss quadrature better than Clenshaw-Curtis?
Lloyd N. Trefethen · 2008
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Rajendra Bhatia · 2009
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A matrix convexity approach to some celebrated quantum inequalities
Edward G. Effros · 2009
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Lloyd N. Trefethen · 2013
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Edward Effros and Frank Hansen · 2014
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Michael Grant and Stephen Boyd · 2014
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Fast variants of the Golub and Welsch algorithm for symmetric weight functions in Matlab
Gérard Meurant and Alvise Sommariva · 2014
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