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On the Spectral Radius of Complementary Acyclic Matrices of Zeros and Ones
- Source :
- SIAM Journal on Matrix Analysis and Applications; April 1986, Vol. 7 Issue: 2 p265-272, 8p
- Publication Year :
- 1986
-
Abstract
- For an $n \times n$ complementary acyclic matrix Aof 0’s and l’s we show that the spectral radius $\rho ( A )$ of Asatisfies $\rho ( A )\geqq n - 2$ and determine those matrices Afor which equality holds. When Ais an $n \times n$ irreducible, complementary tree matrix, we also obtain that $\rho ( A )\leqq \rho _n $, where $\rho _n $ is the largest root of the polynomial $\lambda^3 - (n - 2 )\lambda^2 - ( n - 3 )\lambda - 1$.
Details
- Language :
- English
- ISSN :
- 08954798 and 10957162
- Volume :
- 7
- Issue :
- 2
- Database :
- Supplemental Index
- Journal :
- SIAM Journal on Matrix Analysis and Applications
- Publication Type :
- Periodical
- Accession number :
- ejs31140461
- Full Text :
- https://doi.org/10.1137/0607030