Title :
A strict inequality on spectral radius of nonnegative matrices and its probabilistic proof
Author :
Guohua, Dong ; Hangen, He ; Dewen, Hu
Author_Institution :
Coll. of Mechatron. & Autom., Nat. Univ. of Defense Technol., Changsha
Abstract :
Itpsilas a well known fact that rho(A)LtparAparinfin holds for any nonnegative and irreducible matrix. A probabilistic proof is proposed, together with a parallel corollary and an interesting interpretation.
Keywords :
matrix algebra; probability; theorem proving; nonnegative matrices; parallel corollary; probabilistic proof; spectral radius; strict inequality; Automation; Educational institutions; Helium; Linear matrix inequalities; Mechatronics; ∞-Norms; Irreducible; Nonnegative Matrices; Probabilistic Proof; Spectral Radius; Strict Inequality;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4605719