 
Summary: COLLOQUIUM
University of Regina
Department of Mathematics and Statistics
Speaker: ChunHua Guo, (University of Regina)
Title: The matrix equation X + AT
X1
A = Q and its application in nano
research
Time & Place: Friday, December 11, 3:30  4:30 pm, CL 435
Abstract
The matrix equation X + AT
X1
A = Q has been studied extensively
when A and Q are real square matrices and Q is symmetric positive defi
nite. The equation has positive definite solutions under suitable conditions,
and in that case the solution of interest is the maximal positive definite solu
tion. The same matrix equation plays an important role in Green's function
calculations in nano research, but the matrix Q there is usually indefinite (so
the matrix equation has no positive definite solutions) and one is interested
in the case where the matrix equation has no positive definite solutions even
