Sharma, R., Gupta, M. and Kapoor, G. (2010) Some Better Bounds on the Variance with Applications. Journal of Mathematical Inequalities, 4, 355-363. http://dx.doi.org/10.7153/jmi-04-32
has been cited by the following article:
TITLE: Optimal Bounds for the Largest Eigenvalue of a 3 × 3 Correlation Matrix
AUTHORS: Werner Hürlimann
KEYWORDS: Correlation Matrix, Positive Semi-Definite Matrix, Extreme Point, Eigenvalue, Inequality
JOURNAL NAME: Advances in Pure Mathematics, Vol.5 No.7, June 2, 2015
ABSTRACT: A new approach that bounds the largest eigenvalue of 3 × 3 correlation matrices is presented. Optimal bounds by given determinant and trace of the squared correlation matrix are derived and shown to be more stringent than the optimal bounds by Wolkowicz and Styan in specific cases.