Changes between Version 4 and Version 5 of doc/maths/remez/tutorial-changing-variables
- Timestamp:
- Dec 29, 2011, 4:31:23 PM (11 years ago)
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doc/maths/remez/tutorial-changing-variables
v4 v5 137 137 == Analysing the results == 138 138 139 TODO (show that it was worth it) 139 The 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)]] 142 143 Again, the error curves match almost perfectly. It means that the odd coefficients in the minimax approximation of an even function play very little role. 140 144 141 145 == Conclusion == 142 146 143 You should now be able to give hints to the minimax polynomial solver through changes of variables!147 You should now be able to give hints to the Remez solver through changes of variables, and find polynomials with fewer constants! 144 148 145 149 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-fixing-parameters fixing lower-order parameters].