๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Periods of Connected Networks and Powers of Nonnegative Matrices

โœ Scribed by Denardo, E. V.


Book ID
111938241
Publisher
INFORMS
Year
1977
Tongue
English
Weight
755 KB
Volume
2
Category
Article
ISSN
0364-765X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On powers of nonnegative matrices
โœ Richard A. Brualdi; Mordechai Lewin ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 653 KB
Hoffman polynomials of nonnegative irred
โœ Yaokun Wu; Aiping Deng ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 367 KB

For a nonnegative n ร— n matrix A, we find that there is a polynomial f (x) โˆˆ R[x] such that f (A) is a positive matrix of rank one if and only if A is irreducible. Furthermore, we show that the lowest degree such polynomial f (x) with trf (A) = n is unique. Thus, generalizing the well-known definiti