Changes between Version 14 and Version 15 of PolynomialExpansion
- Timestamp:
- 01/26/16 12:18:05 (10 years ago)
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PolynomialExpansion
v14 v15 1 1 2 A = {{ x0, x1}, {x1, x2}}, b = x3[2]2 A = {{X0, X1}, {X1, X2}}, b = X3[2] 3 3 4 4 5 5 Step 1: r = b - Ax 6 r[0] = x3[0]6 r[0] = X3[0] 7 7 8 r[1] = x3[1]8 r[1] = X3[1] 9 9 10 10 Step 2: alpha = (r[i]*r[i]) / (p[i]*A[i][j]*p[j]) … … 30 30 31 31 Step 7: alpha = (r[i]*r[i]) / (p[i]*A[i][j]*p[j]) 32 alpha = (X0*X3[0]^2^ + 2*X1*X3[0]*X3[1] + X2*X3[1]^2^) / ((-X1^2^ + X0 X2) (X3[0]^2^ + X3[1]^2^))32 alpha = (X0*X3[0]^2^ + 2*X1*X3[0]*X3[1] + X2*X3[1]^2^) / ((-X1^2^ + X0*X2) (X3[0]^2^ + X3[1]^2^)) 33 33 34 34 Step 8: r[i] = r - alpha * A[i][j] * p[j] … … 40 40 x[0] = (X2*X3[0] - X1*X3[1]) / (X0*X2 - X1^2^) 41 41 42 x[1] = (-X1 X3[0] + X0X3[1]) / (X0*X2 - X1^2^)42 x[1] = (-X1*X3[0] + X0*X3[1]) / (X0*X2 - X1^2^) 43 43 44 44 END
