Department of Mathematics & Statistics
http://hdl.handle.net/10294/339
2014-04-23T12:01:57ZA convergence result for matrix Riccati differential equations associated with M-matrices
http://hdl.handle.net/10294/5256
A convergence result for matrix Riccati differential equations associated with M-matrices
Guo, Chun-Hua; Yu, Bo
The initial value problem for a matrix Riccati differential equation associated with an $M$-matrix is known to have a global solution $X(t)$ on $[0, \infty)$ when $X(0)$ takes values from a suitable set of nonnegative matrices. It is also known, except for the critical case, that as $t$ goes to infinity $X(t)$ converges to the minimal nonnegative solution of the corresponding algebraic Riccati equation. In this paper we present a new approach for proving the convergence, which is based on the doubling procedure and is also valid for the critical case. The approach also provides a way for solving the initial value problem and a new doubling algorithm for computing the minimal nonnegative solution of the algebraic Riccati equation.
2014-04-22T00:00:00ZIntersecting generalized permutations
http://hdl.handle.net/10294/4291
Intersecting generalized permutations
Borg, Peter; Meagher, Karen
This article has been submitted to the Australiasian Journal of Combinatorics
2014-01-21T00:00:00ZC.V.
http://hdl.handle.net/10294/4290
C.V.
Meagher, Karen
2014-01-21T00:00:00ZDepartment of Mathematics and Statistics Annual Report 2004
http://hdl.handle.net/10294/341
Department of Mathematics and Statistics Annual Report 2004
University of Regina. Dept. of Mathematics & Statistics.
3 p.
2004-01-01T00:00:00Z