Let be the matrix norm associated with the matrix and be the vector norm associated with a vector . Let the product be defined, then and are said to be compatible if
Explore with Wolfram|Alpha
More things to try:
ReferencesGradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, p. 2000, 1980.
Referenced on Wolfram|AlphaCompatible
Cite this as:
Weisstein, Eric W. "Compatible." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Compatible.html