The matrix norm associated with a matrix
and the vector
norm
associated with a vector
are compatible if the product
is defined and
Thus, and
satisfy this compatibility inequality.
The matrix norm associated with a matrix
and the vector
norm
associated with a vector
are compatible if the product
is defined and
Thus, and
satisfy this compatibility inequality.
Weisstein, Eric W. "Compatible." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Compatible.html