Culegere de probleme de Analiz˘a numeric˘a
Culegere de probleme de Analiz˘a numeric˘a
Culegere de probleme de Analiz˘a numeric˘a
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
108 Aproximări în medie pătratică<br />
R[0,0] = S[0,d1]+ω [d0,0] S[1,d1] = S[0,0]+ω [0,0] S[1,0] = y0 +y2<br />
i = 1<br />
i = 2<br />
i = [d0,d1] = [0,1]<br />
R[0,1] = S[0,1]+ω [0,0] S[1,1] = y1 +y3<br />
i = [d0,d1] = [1,0]<br />
R[1,0] = S[0,0]+ω [1,0] S[1,0] = S[0,0]+ω 2 S[1,0] = y0 +ω 2 y2 = y0 −y2<br />
i = 3<br />
i = [d0,d1] = [1,1]<br />
R[1,1] = S[0,1]+ω [1,0] S[1,1] = S[0,1]+ω 2 S[1,1] = y1 +ω 2 y3 = y1 −y3<br />
l = 1<br />
i = 0<br />
S = [y0 +y2,y1 +y3,y0+ω 2 y2,y1 +ω 2 y3]<br />
R[d0d1] = S[d0,0]+ω [d0d1] S[d0,1]<br />
i = [d0,d1] = [0,0]<br />
R[0,0] = S[0,0]+ω [0,0] S[0,1] = S[0,0]+S[0,1] = y0 +y1 +y2 +y3<br />
i = 1 = [d0,d1] = [0,1]<br />
r[0,1] = S[0,0]+ω [0,1] S[0,1] = S[0,0]+ωS[0,1] = y0 +y2 +i(y1 +y3)<br />
i = 2<br />
i = 3<br />
5.<br />
[d0d1] = [1,0]<br />
R[1,0] = S[1,0]+ω 2 S[1,1] = y0 +ω 2 y2 +ω 2 (y +1+ω 2 y3)<br />
[d0d1] = [1,1]<br />
R[1,1] = S[1,0]+ω [1,1] S[1,1] = y0 +ω 2 y2 +ω 3 (y +1+ω 2 y3)<br />
c[0,0] = R[0,0] = y0 +y1 +y2 +y3<br />
c[0,1] = R[1,0] = y0 −y2 +i(y1 −y3)<br />
c[1,0] = R[0,1] = y0 +y2 −ω 2 (y1 +ω 2 y3) = y0 +y2 −y1 −y3<br />
c[1,1] = R[1,1] = y0 −y2 −i(y1 −y3)<br />
a0 = c0<br />
m = y0 +y1 +y2 +y3<br />
2