B. Tam

activity

19982012

most citedTwo cores of a nonnegative matrix

12 citations · 13 across the 4 of their papers we have counts for

collaborators

4 papers

math.RA2012★ 12 cited

Two cores of a nonnegative matrix

Peter Butkovic, Hans Schneider, Sergei Sergeev +1

We prove that the sequence of eigencones (i.e., cones of nonnegative eigenvectors) of positive powers A^k of a nonnegative square matrix A is periodic both in max algebra and in no…

math.DS2009★ 1 cited

Maximal Exponents of K-Primitive Matrices: The Polyhedral Cone Case

Raphael Loewy, Bit-Shun Tam

Let $K$ be a proper (i.e., closed, pointed, full convex) cone in $R^{n}$ . An $n \times n$ matrix $A$ is said to be $K$ -primitive if there exists a positive integer $k$ such tha…

math.RA2001

Linear Equations over cones and Collatz-Wielandt numbers

Bit-Shun Tam, Hans Schneider

Let $K$ be a proper cone in $\IR^n$, let $A$ be an $n \times n$ real matrix that satisfies $A K \subseteq K$ , let $b$ be a given vector of $K$ , and let $λ$ be a given positive real nu…

math.RA1998

On the invariant faces associated with a cone-preserving map

Bit-Shun Tam, Hans Schneider

For an $n \times n$ nonnegative matrix $P$ , an isomorphism is obtained between the lattice of initial subsets (of $1, ..., n$ ) for $P$ and the lattice of $P$ -invariant faces of the…