How can we proof this matrix norm equality?

JohnNL · 2011-12-18T23:35:26+00:00

||A-1|| = max ||x|| / ||Ax|| x\inℝn, x≠0 . x is a vector.

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JohnNL

||A^-1|| = max ||x|| / ||Ax|| x[itex]\in[/itex]ℝⁿ, x≠0 . x is a vector.

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mathwonk

well try the reciprocal one, for the norm of A. (operator norm of course, assuming you know the definition. that's the place to start of course.)

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