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

被引：0

作者：

Mircea Bîrsan

Patrizio Neff

Johannes Lankeit

机构：

[1] Universität Duisburg-Essen,Lehrstuhl für Nichtlineare Analysis und Modellierung, Fakultät für Mathematik

[2] University ‘A.I. Cuza’ of Iaşi,Department of Mathematics

来源：

Journal of Inequalities and Applications | / 2013卷

关键词：

matrix logarithm; elementary symmetric polynomials; inequality; characteristic polynomial; positive definite matrices; means;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let y1,y2,y3,a1,a2,a3∈(0,∞) be such that y1y2y3=a1a2a3 and

引用

共 6 条

[1]

Roventa I(2012)A note on Schur-concave functions J. Inequal. Appl 159 1-9

[2]

Khan AR(2012)Exponential convexity for majorization J. Inequal. Appl 105 1-13

[3]

Latif N(1932)Sur une inégalité relative aux fonctions convexes Publ. Math. Univ. Belgrad 1 145-148

[4]

Pečarić J(1928)Über die Form des Elastizitätsgesetzes bei ideal elastischen Stoffen Z. Techn. Physik 9 215-220

[5]

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[6]

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