Title of article :
On matrices which have signed null-spaces Original Research Article
Author/Authors :
Si-Ju Kim، نويسنده , , Bryan L. Shader، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2002
Abstract :
We denote by
image
the set of all matrices with the same sign pattern as A. A matrix A has signed null-space provided there exists a set
image
of sign patterns such that the set of sign patterns of vectors in the null-space of
image
is
image
, for each
image
. We show that if A is an m by n matrix with no duplicate columns up to multiplication by −1 and A has signed null-space, then nless-than-or-equals, slant3m−2. We also classify the set of matrices satisfying the equality.
Keywords :
Signed null-spaces , Conformal contractions , Zero patterns
Journal title :
Linear Algebra and its Applications
Journal title :
Linear Algebra and its Applications