Changes between Version 4 and Version 5 of doc/maths/remez/tutorial-changing-variables


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Timestamp:
Dec 29, 2011, 4:31:23 PM (11 years ago)
Author:
sam
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  • doc/maths/remez/tutorial-changing-variables

    v4 v5  
    137137== Analysing the results ==
    138138
    139  TODO (show that it was worth it)
     139The obtained polynomial needs '''5 constants''' for a maximum error of about '''3.3259e-9''' over [-π/2; π/2]. The real 9th degree minimax polynomial on [-π/2; π/2] needs '''10 constants''' for a maximum error of about… '''3.3259e-9'''!
     140
     141[[Image(error-even.png, nolink)]]
     142
     143Again, the error curves match almost perfectly. It means that the odd coefficients in the minimax approximation of an even function play very little role.
    140144
    141145== Conclusion ==
    142146
    143 You should now be able to give hints to the minimax polynomial solver through changes of variables!
     147You should now be able to give hints to the Remez solver through changes of variables, and find polynomials with fewer constants!
    144148
    145149Please 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 lower-order parameters].