Article
Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions
Linear Algebra and its Applications
Publication Date
2-15-2016
Keywords
- Angle,
- Correlation matrix,
- Density matrix,
- Isometry,
- Metric,
- Metric-preserving function,
- Subadditive function,
- Triangle inequality,
- Triangle triplet
Disciplines
- Algebra and
- Mathematics
Abstract
We present inequalities concerning the entries of correlation matrices, density matrices, and partial isometries through the positivity of 3×3 matrices. We extend our discussions to the inequalities concerning the triangle triplets with metric-preserving and subadditive functions.
Comments
MSC
- 15A03;
- 15A45;
- 39B62
Additional Comments
©2014 Elsevier Inc. All rights reserved.
DOI
10.1016/j.laa.2014.10.011
Citation Information
Diego Castano, Vehbi Emrah Paksoy and Fuzhen Zhang. "Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions" Linear Algebra and its Applications Vol. 491 (2016) p. 15 - 29 ISSN: 0024-3795 Available at: http://works.bepress.com/fuzhen-zhang/18/