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Results tagged with norms
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user 112001
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Minimal value of matrix norm induced by a norm
Let $X$ be a finite dimensional Banach space and define a matrix norm $\| \cdot \|_{X}$ by
$$
\| A \|_{X} = \sup_{x \ne 0} \frac{\|A x\|_{X}}{\|x\|_{X}}
$$
where the matrix $A$ is interpreted as an …
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