Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions
Linear Algebra and its Applications
Angle, Correlation matrix, Density matrix, Isometry, Metric, Metric-preserving function, Subadditive function, Triangle inequality, Triangle triplet
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.
Castano, D., Paksoy, V. E., & Zhang, F. (2016). Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions. Linear Algebra and its Applications, 491, 15 - 29. https://doi.org/10.1016/j.laa.2014.10.011. Retrieved from https://nsuworks.nova.edu/cnso_chemphys_facarticles/39