Changes between Version 27 and Version 28 of PolynomialExpansion
- Timestamp:
- 01/26/16 15:02:25 (10 years ago)
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PolynomialExpansion
v27 v28 44 44 45 45 Step 9: x[i] = x + alpha*p[i] 46 x 0] = (a,,2,,*b,,0,, - a,,1,,*b,,1,,) / (a,,0,,*a,,2,, - a,,1,,^2^)46 x[0] = (a,,2,,*b,,0,, - a,,1,,*b,,1,,) / (a,,0,,*a,,2,, - a,,1,,^2^) 47 47 48 x 1] = (-a,,1,,*b,,0,, + a,,0,,*b,,1,,) / (a,,0,,*a,,2,, - a,,1,,^2^)48 x[1] = (-a,,1,,*b,,0,, + a,,0,,*b,,1,,) / (a,,0,,*a,,2,, - a,,1,,^2^) 49 49 50 50 assertion: 51 bncg[0] = A[0][0]* X[0] + A[0][1]*x[1] = a,,0,,*(a,,2,,*b,,0,, - a,,1,,*b,,1,,) / (a,,0,,*a,,2,, - a,,1,,^2^) + a,,1,,*(-a,,1,,*b,,0,, + a,,0,,*b,,1,,) / (a,,0,,*a,,2,, - a,,1,,^2^) = b,,0,,*(a,,0,,*a,,2,, - a,,1,,^2^) / (a,,0,,*a,,2,, - a,,1,,^2^) = b,,0,,51 bncg[0] = A[0][0]*x[0] + A[0][1]*x[1] = a,,0,,*(a,,2,,*b,,0,, - a,,1,,*b,,1,,) / (a,,0,,*a,,2,, - a,,1,,^2^) + a,,1,,*(-a,,1,,*b,,0,, + a,,0,,*b,,1,,) / (a,,0,,*a,,2,, - a,,1,,^2^) = b,,0,,*(a,,0,,*a,,2,, - a,,1,,^2^) / (a,,0,,*a,,2,, - a,,1,,^2^) = b,,0,, 52 52 53 bncg[1] = A[1][0]* X[0] + A[1][1]*x[1] = a,,1,,*(a,,2,,*b,,0,, - a,,1,,*b,,1,,) / (a,,0,,*a,,2,, - a,,1,,^2^) + a,,2,,*(-a,,1,,*b,,0,, + a,,0,,*b,,1,,) / (a,,0,,*a,,2,, - a,,1,,^2^) = b,,1,,*(a,,0,,*a,,2,, - a,,1,,^2^) / (a,,0,,*a,,2,, - a,,1,,^2^) = b,,1,,53 bncg[1] = A[1][0]*x[0] + A[1][1]*x[1] = a,,1,,*(a,,2,,*b,,0,, - a,,1,,*b,,1,,) / (a,,0,,*a,,2,, - a,,1,,^2^) + a,,2,,*(-a,,1,,*b,,0,, + a,,0,,*b,,1,,) / (a,,0,,*a,,2,, - a,,1,,^2^) = b,,1,,*(a,,0,,*a,,2,, - a,,1,,^2^) / (a,,0,,*a,,2,, - a,,1,,^2^) = b,,1,, 54 54 55 55 b[0] = b,,0,,
