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A problem is said to be ill-conditioned if a small change in the input data (or coefficients in an equation) gives rise to large changes in the output data (or solutions to the equation). For example, if then f (0.999)=333.7, f (1.001)=−333.0; or the solution of two almost parallel lines y=x; y=(1+α) x+10: when α=0.01, the solution is (−1000, −1000) and when α=0.02, the solution is (−500, −500).

Subjects: Mathematics.

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