(Q26922716)

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absolute condition number

equivalent of condition number, to be used when the input or the output of a well-posed problem are zero

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K(x)=\sup _{x\in D(g)}\left\{{\frac {\lVert g({\overline {x}})-g(x)\rVert }{\lVert {\overline {x}}-x\rVert }}\right\},{\text{ where }}D(g){\text{ is the domain of }}g.

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K(x)\approx \lVert g'(x)\rVert {\text{ if }}g{\text{ is differentiable.}}

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