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Positive entries of stable matrices
Publikationstyp
Journal Article
Date Issued
2005-01-01
Sprache
English
Institut
TORE-URI
Volume
12
Start Page
17
End Page
24
Citation
Electronic Journal of Linear Algebra (12): 17-24 (2005-01-01)
Publisher DOI
Scopus ID
The question of how many elements of a real positive stable matrix must be positive is investigated. It is shown that any real stable matrix of order greater than 1 has at least two positive entries. Furthermore, for every stable spectrum of cardinality greater than 1 there exists a real matrix with that spectrum with exactly two positive elements, where all other elements of the matrix can be chosen to be negative.
Subjects
Companion matrix
Positive elementary symmetric functions
Stable matrix
DDC Class
004: Informatik
510: Mathematik