Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions

Event Name/Location

Proceedings of the 19th ILAS Conference, Seoul, South Korea 2014

Presentation Date

2-15-2016

Document Type

Conference Proceeding

Presenters / Authors

Diego Castano, Nova Southeastern UniversityFollow
Vehbi Emrah Paksoy, Nova Southeastern UniversityFollow
Fuzhen Zhang, Nova Southeastern UniversityFollow

Proceeding Title

Linear Algebra and its Applications

ISSN

0024-3795

Keywords

Angle, Correlation matrix, Density matrix, Isometry, Metric, Metric-preserving function, Subadditive function, Triangle inequality, Triangle triplet

Description

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.

DOI

10.1016/j.laa.2014.10.011

Publisher

Elsevier

First Page

15

Last Page

29

NSUWorks Citation

Castano, Diego; Paksoy, Vehbi Emrah; and Zhang, Fuzhen, "Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions" (2016). Mathematics Faculty Proceedings, Presentations, Speeches, Lectures. 358.
https://nsuworks.nova.edu/cnso_math_facpres/358