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Q-matrix
In
mathematics
, a
Q-matrix
is a
square matrix
whose associated
linear complementarity problem
LCP
has a
solution
for every
vector
q
.
Properties
M
is a Q-matrix if
there exists
d
> 0 such that LCP and LCP have a
unique
solution.
Any
P-matrix
is a Q-matrix.
Conversely
, if a
matrix
is a
Z-matrix
and a Q-matrix, then it is also a P-matrix.