Angles, triangle inequalities, correlation matrices and metric-preserving and subadditive functions

We study the triangle inequalities for angles (with different definitions) and present inequalities concerning the entries of correlation matrices through the positivity of $3\times 3$ matrices. We extend our discussions to the inequalities concerning the triangle triplets with metric-preserving and...

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Hauptverfasser: Castano, Diego, Paksoy, Vehbi E, Zhang, Fuzhen
Format: Artikel
Sprache:eng
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Zusammenfassung:We study the triangle inequalities for angles (with different definitions) and present inequalities concerning the entries of correlation matrices through the positivity of $3\times 3$ matrices. We extend our discussions to the inequalities concerning the triangle triplets with metric-preserving and subadditive functions.
DOI:10.48550/arxiv.1407.2800