Condition Numbers

Numerical Analysis · Axiom Academy

Measuring a problem's sensitivity to perturbations The condition number κ is the maximum ratio of relative output change to relative input change: 2. Well-Conditioned vs Ill-Conditioned Problems are classified by their condition numbers: Some operations are inherently ill-conditioned: 4. Implications for Computation Even with backward-stable algorithms, ill-conditioning limits achievable accuracy:

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