Spectra with positive elementary symmetric functions
نویسندگان
چکیده
منابع مشابه
Spectra with Positive Elementary Symmetric Functions
It is well known that if all the elementary symmetric functions of the eigenvalues of an n–by–n matrix are positive, then all its eigenvalues lie in the region of the complex plane {z : −π + πn < argz < π − π n}. Let A denote an n–by–n matrix with all diagonal entries nonzero and for which the length of the longest cycle in its directed graph is k, 2 ≤ k ≤ n. If, in addition, all the cycles in ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1993
ISSN: 0024-3795
DOI: 10.1016/0024-3795(93)90535-v