IJPAM: Volume 34, No. 4 (2007)
THE PROBABILITY THAT A RATIONAL RANDOM
MATRIX HAS MULTIPLE EIGENVALUES
MATRIX HAS MULTIPLE EIGENVALUES
Zhang Zhinan
College of Mathematics and System Science
Xinjiang University
Urumqi, 830046, P.R. CHINA
e-mail: znz01@xju.edu.cn
College of Mathematics and System Science
Xinjiang University
Urumqi, 830046, P.R. CHINA
e-mail: znz01@xju.edu.cn
Abstract.In
this paper, we show that the Probability of a random floating point
matrix to be diagonalizable nears 1. Thus no one numerical algorithm
is effective for determining the Jordan block structure of a random
floating point matrix having nonlinear elementary divisor.
Received: September 26, 2006
AMS Subject Classification: 15A52
Key Words and Phrases: Jordan canonical form, random matrix, Lebesgue measure
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 34
Issue: 4
