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[]\T1/futs/m/n/10 usando $\FML/futmi/m/it/10 n$ \T1/futs/m/n/10 nodi eq-ui-s-pa
ziati (con al-cuni val-ori di $\FML/futmi/m/it/10 n$ \T1/futs/m/n/10 tra $6$ e 
$11$) e $\FML/futmi/m/it/10 n$ \T1/futs/m/n/10 nodi di Chebyshev-
 []

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[][]\T1/futs/m/n/10 aiutandosi con l'help è pos-si-bile avere un'idea di cosa f
ac-cia il co-mando \T1/lmtt/m/n/10 polyfit 
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[8] [9]
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[][]\T1/futs/m/n/10 aiutandosi con l'help è pos-si-bile avere un'idea di cosa f
ac-cia il co-mando \T1/lmtt/m/n/10 polyval 
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[10]
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[][]\T1/futs/m/n/10 l'errore dell'interpolante della fun-zione di Runge nei nod
i di Chebyshev-Gauss-
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\T1/futs/m/n/10 meglio. Ri-cor-diamo che la fun-zione di Runge è $\FML/futmi/m/
it/10 C[]\T1/futs/m/n/10 ([\FMS/futm/m/n/10 \T1/futs/m/n/10 5\FML/futmi/m/it/1
0 ; \T1/futs/m/n/10 5])$ e sus-siste il seguente
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[]\T1/futs/b/n/14.4 Facoltativo e tec-nico: sul cal-colo dell'interpolante poli
-
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[]\T1/futs/m/n/10 Variamo in \T1/lmtt/m/n/10 esperimento \T1/futs/m/n/10 la var
i-abile $\FML/futmi/m/it/10 n$\T1/futs/m/n/10 , po-nen-dola uguale a $13$. Mat-
lab da' il seguente
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[]\T1/futs/m/n/10 segno che i risul-tati ot-tenuti con \T1/lmtt/m/n/10 polyfit 
\T1/futs/m/n/10 sono in-ac-cetta-bili, men-tre quelli di \T1/lmtt/m/n/10 baryla
g
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[][]\T1/futs/m/n/10 il pro-gramma è una vari-ante di quanto visto in \T1/lmtt/m
/n/10 esperimento.m\T1/futs/m/n/10 , per una adeguata
 []

[14]
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[]\T1/futs/m/n/10 visto che si deve va-l-utare l'errore su un solo punto, il co
-mando \T1/lmtt/m/n/10 norm(...,inf)
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[]\T1/futs/b/n/10 Esercizio. \T1/futs/m/n/10 Aiu-tan-dosi con Mat-lab/Octave es
-eguire un pro-gramma che cal-coli l'interpolante
 []

[15]
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[][]\T1/futs/m/n/10 J.P. Berrut and L.N.Trefethen, \T1/futs/m/sl/10 Barycen-tri
c La-grange in-ter-po-la-tion\T1/futs/m/n/10 , (SIAM
 []


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\T1/lmtt/m/n/10 http://web.comlab.ox.ac.uk/oucl/work/nick.trefethen/barycentric
.pdf\T1/futs/m/n/10 . 
 []


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\T1/lmtt/m/n/10 http://www-history.mcs.st-andrews.ac.uk/Biographies/Chebyshev.h
tml\T1/futs/m/n/10 . 
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\T1/lmtt/m/n/10 http://www-history.mcs.st-andrews.ac.uk/Biographies/Lagrange.ht
ml\T1/futs/m/n/10 . 
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[][]\T1/futs/m/n/10 The Math-Works Inc., \T1/futs/m/sl/10 Nu-mer-i-cal Com-put-
ing with Mat-lab\T1/futs/m/n/10 ,
 []


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\T1/lmtt/m/n/10 http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do
? 
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