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Article
Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions
Linear Algebra and its Applications
  • David Charles Castano, Nova Southeastern University
  • Vehbi Emrah Paksoy, Nova Southeastern University
  • Fuzhen Zhang, Nova Southeastern University
Event Name/Location
Proceedings of the 19th ILAS Conference, Seoul, South Korea 2014
Document Type
Conference Proceeding
Publication Date
2-15-2016
Keywords
  • Angle,
  • Correlation matrix,
  • Density matrix,
  • Isometry,
  • Metric,
  • Metric-preserving function,
  • Subadditive function,
  • Triangle inequality,
  • Triangle triplet
Disciplines
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.

Publisher
Elsevier
DOI
10.1016/j.laa.2014.10.011
Citation Information
David Charles Castano, Vehbi Emrah Paksoy and Fuzhen Zhang. "Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions" Linear Algebra and its Applications (2016) p. 15 - 29 ISSN: 0024-3795
Available at: http://works.bepress.com/vehbi-paksoy/26/