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Algebra
Matrix norms and conditioning
Submultiplicativity

24. Matrix norms and conditioning

Submultiplicativity

Level: avanzado

In 24. Matrix norms and conditioning

For a submultiplicative matrix norm

\|AB\| \le \|A\|\,\|B\|.

Tags

algebra
algebra formula
linear
norms
norms conditioning

Detail

The amplification of a composition does not exceed the product of the maximum amplifications of each transformation.

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