info:eu-repo/semantics/article

The Karcher mean of linearly independent triples

Fecha
2021-02
Registro en:
Ghiglioni, Eduardo Mario; Lim, Yongdo; Pálfia, Miklós; The Karcher mean of linearly independent triples; Elsevier Science Inc; Linear Algebra and its Applications; 610; 2-2021; 203-221
0024-3795
CONICET Digital
CONICET
Autor
Ghiglioni, Eduardo Mario
Lim, Yongdo
Pálfia, Miklós
Institución
Resumen
We present a classification of 2×2 positive definite Hermitian triples of determinant one having the Karcher mean formula [Formula presented]. We further show that it is equivalent to the trace condition: tr(AB−1)=tr(AC−1)=tr(BC−1) for linearly independent triples.
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