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Compatible

Let ||A|| be the matrix norm associated with the matrix A and |x| be the vector norm associated with a vector x. Let the product Ax be defined, then ||A|| and |x| are said to be compatible if

||Ax||<=||A|||x|.

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References

Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, p. 2000, 1980.

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Compatible

Cite this as:

Weisstein, Eric W. "Compatible." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Compatible.html

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