Nonnegative definite hermitian matrices with increasing principal minors
Classical Analysis and ODEs
2013-01-22 v1 Optimization and Control
Abstract
A nonzero nonnegative definite hermitian m by m matrix A has increasing principal minors if the value of each principle minor of A is not less than the value each of its subminors. For we show has increasing principal minors if and only if exists and its diagonal entries are less or equal to 1.
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Cite
@article{arxiv.1301.4665,
title = {Nonnegative definite hermitian matrices with increasing principal minors},
author = {Shmuel Friedland},
journal= {arXiv preprint arXiv:1301.4665},
year = {2013}
}
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3 pages