Changes between Version 3 and Version 4 of PolynomialExpansion
- Timestamp:
- 01/26/16 00:10:36 (10 years ago)
Legend:
- Unmodified
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- Modified
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PolynomialExpansion
v3 v4 13 13 Step 3: r[i] = r - alpha * A[i][j] * p[j] 14 14 r[0] = (-1*((X3[1]^3)*X1)-1*((X3[1]^2)*X3[0]*X0)+(X3[1]^2)*X3[0]*X2+X3[1]*(X3[0]^2)*X1) / ((X3[1]^2)*X2+2*(X3[1]*X3[0]*X1)+(X3[0]^2)*X0) 15 15 16 r[1] = ((X3[1]^2)*X3[0]*X1+X3[1]*(X3[0]^2)*X0-1*(X3[1]*(X3[0]^2)*X2)-1*((X3[0]^3)*X1)) / ((X3[1]^2)*X2+2*(X3[1]*X3[0]*X1)+(X3[0]^2)*X0) 16 17 17 18 Step 4: x[i] = x + alpha*p[i] 18 19 x[0] = ((X3[1]^2)*X3[0]+X3[0]^3) / ((X3[1]^2)*X2+2*(X3[1]*X3[0]*X1)+(X3[0]^2)*X0) 20 19 21 x[1] = (X3[1]^3+X3[1]*(X3[0]^2)) / ((X3[1]^2)*X2+2*(X3[1]*X3[0]*X1)+(X3[0]^2)*X0) 20 22 … … 24 26 Step 6: p[i] = rk[i] +beta * p 25 27 p[0] = (-1*((X3[1]^7)*X1*X2)-1*((X3[1]^6)*X3[0]*X0*X2)-1*((X3[1]^6)*X3[0]*(X1^2))+(X3[1]^6)*X3[0]*(X2^2)-1*((X3[1]^5)*(X3[0]^2)*X0*X1)-2*((X3[1]^4)*(X3[0]^3)*X0*X2)-1*((X3[1]^4)*(X3[0]^3)*(X1^2))+2*((X3[1]^4)*(X3[0]^3)*(X2^2))-2*((X3[1]^3)*(X3[0]^4)*X0*X1)+3*((X3[1]^3)*(X3[0]^4)*X1*X2)-1*((X3[1]^2)*(X3[0]^5)*X0*X2)+(X3[1]^2)*(X3[0]^5)*(X1^2)+(X3[1]^2)*(X3[0]^5)*(X2^2)-1*(X3[1]*(X3[0]^6)*X0*X1)+2*(X3[1]*(X3[0]^6)*X1*X2)+(X3[0]^7)*(X1^2))/((X3[1]^6)*(X2^2)+4*((X3[1]^5)*X3[0]*X1*X2)+2*((X3[1]^4)*(X3[0]^2)*X0*X2)+4*((X3[1]^4)*(X3[0]^2)*(X1^2))+(X3[1]^4)*(X3[0]^2)*(X2^2)+4*((X3[1]^3)*(X3[0]^3)*X0*X1)+4*((X3[1]^3)*(X3[0]^3)*X1*X2)+(X3[1]^2)*(X3[0]^4)*(X0^2)+2*((X3[1]^2)*(X3[0]^4)*X0*X2)+4*((X3[1]^2)*(X3[0]^4)*(X1^2))+4*(X3[1]*(X3[0]^5)*X0*X1)+(X3[0]^6)*(X0^2)) 28 26 29 p[1] = ((X3[1]^7)*(X1^2)+2*((X3[1]^6)*X3[0]*X0*X1)-1*((X3[1]^6)*X3[0]*X1*X2)+(X3[1]^5)*(X3[0]^2)*(X0^2)-1*((X3[1]^5)*(X3[0]^2)*X0*X2)+(X3[1]^5)*(X3[0]^2)*(X1^2)+3*((X3[1]^4)*(X3[0]^3)*X0*X1)-2*((X3[1]^4)*(X3[0]^3)*X1*X2)+2*((X3[1]^3)*(X3[0]^4)*(X0^2))-2*((X3[1]^3)*(X3[0]^4)*X0*X2)-1*((X3[1]^3)*(X3[0]^4)*(X1^2))-1*((X3[1]^2)*(X3[0]^5)*X1*X2)+X3[1]*(X3[0]^6)*(X0^2)-1*(X3[1]*(X3[0]^6)*X0*X2)-1*(X3[1]*(X3[0]^6)*(X1^2))-1*((X3[0]^7)*X0*X1))/((X3[1]^6)*(X2^2)+4*((X3[1]^5)*X3[0]*X1*X2)+2*((X3[1]^4)*(X3[0]^2)*X0*X2)+4*((X3[1]^4)*(X3[0]^2)*(X1^2))+(X3[1]^4)*(X3[0]^2)*(X2^2)+4*((X3[1]^3)*(X3[0]^3)*X0*X1)+4*((X3[1]^3)*(X3[0]^3)*X1*X2)+(X3[1]^2)*(X3[0]^4)*(X0^2)+2*((X3[1]^2)*(X3[0]^4)*X0*X2)+4*((X3[1]^2)*(X3[0]^4)*(X1^2))+4*(X3[1]*(X3[0]^5)*X0*X1)+(X3[0]^6)*(X0^2)) 27 30 … … 31 34 Step 8: r[i] = r - alpha * A[i][j] * p[j] 32 35 r[0] = 0 36 33 37 r[1] = 0 34 38 35 39 Step 9: x[i] = x + alpha*p[i] 36 40 x[0] = 41 37 42 x[1] = 38 43
