Harmonic Analysis and Applications

DOI10.1007/978-3-030-61887-2zbMATH Open1470.42003arXiv2002.00879OpenAlexW3004225227MaRDI QIDQ3386743

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Publication date: 7 January 2021

Published in: (Search for Journal in Brave)

Abstract: In this paper we consider the decomposition of positive semidefinite matrices as a sum of rank one matrices. We introduce and investigate the properties of various measures of optimality of such decompositions. For some classes of positive semidefinite matrices we give explicitly these optimal decompositions. These classes include diagonally dominant matrices and certain of their generalizations, $2imes2$, and a class of $3imes3$ matrices.

Full work available at URL: https://arxiv.org/abs/2002.00879

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