Stochastic matrices and the Boyle and Handelman conjecture

• Main Author: Ambikkumar, S. (Sithamparappillai)
• Other Authors: Drury, S. W. (advisor)
• Format: Others
• Language: en
• Published: McGill University 1995
• Subjects: Mathematics.
• Online Access: http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=22715

Let A be an $n times n$ stochastic matrix with rank($A) leq r (1 leq r leq n$). A reformulation of the Boyle and Handelman Conjecture is det($I-tA) leq1-t sp{r}$ for all real numbers t satisfying $0 leq t leq1$. === In this thesis, we prove that this conjecture is true for $n times n$ stochastic matrices whose rank exceeds ${n over2}$.