Sum of squared logarithms -- an inequality relating positive definite matrices and their matrix logarithm

DOI10.1186/1029-242X-2013-168zbMath1284.26019arXiv1301.6604WikidataQ59302436 ScholiaQ59302436MaRDI QIDQ394673

Mircea Bîrsan, Patrizio Neff, Johannes Lankeit

Publication date: 27 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.6604

zbMATH Keywords

positive definite matricesinequalitycharacteristic polynomialmeanselementary symmetric polynomialsmatrix logarithm

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Inequalities involving other types of functions (26D07)

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