Changes between Version 1 and Version 2 of doc/maths/remez/tutorial-relative-error


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Timestamp:
Dec 29, 2011, 12:12:25 AM (11 years ago)
Author:
sam
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  • doc/maths/remez/tutorial-relative-error

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    77\[\max_{x \in [-1, 1]}{\big\vert f(x) - P(x)\big\vert} = E\]
    88}}}
     9
     10Where ''f(x) = exp(x)''.
    911
    1012The final polynomial was such that ''E'' was approximately 0.000546277. More particularly, ''|exp(-1) - P(-1)|'' =  0.000546277 and  ''|exp(1) - P(1)|'' =  0.000546277.
     
    8789== Analysing the results ==
    8890
    89 Again, the two error are undistinguishable:
     91Again, the polynomial and the original function are undistinguishable:
    9092
    9193[[Image(fastexp2.png, nolink)]]
     
    99101== Conclusion ==
    100102
    101 You should now be able to weigh your error function to control where to minimise the error!
     103You should now be able to weigh your error function to control the final error curve of the minimax polynomial!
    102104
    103 Please report any trouble you may have had with this document to [sam@hocevar.net]. You may then carry on to the next section: [wiki:doc/maths/remez/tutorial-changing-variables changing variables to discard useless].
     105Please report any trouble you may have had with this document to sam@hocevar.net. You may then carry on to the next section: [wiki:doc/maths/remez/tutorial-fixing-parameters fixing parameters in the minimax polynomial].