How to calculate maximum absolute error

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Nia Dutta
Nia Dutta 2019-2-28
编辑： Matt J 2019-3-1
If I have two solutions in following form
exact=x^(4)-x^(3) and app= (-2.220446049250313*10^(-16)) + (0.19676728660169784)* x + (4.6491983150099205)* x^(2) - (3.9010072748158082)* x^(3) + (2.3619056303875987)* x^(4) - (0.33198038154796344)* x^(5)
Then , how we can calculate maximum absolute error when x belongs to [0,2].

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回答（1 个）

Matt J
Matt J 2019-2-28
The difference between two polynomials is a polynomial. Use calculus to find the maximum and minimum values of the difference polynomial.
  2 个评论
Nia Dutta
Nia Dutta 2019-3-1
It is diffucult to check every point of x.
Matt J
Matt J 2019-3-1
编辑：Matt J 2019-3-1
They are polynomials. It is an elementary calculus problem to find minima and maxima of polynomials using derivatives.

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