Changes between Version 52 and Version 53 of PolynomialExpansion


Ignore:
Timestamp:
01/26/16 22:51:02 (10 years ago)
Author:
sili
Comment:

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  • PolynomialExpansion

    v52 v53  
    3333  p[1] = ((b,,0,,^2^+b,,1,,^2^)(b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,))(b,,1,,(b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,)) - (b,,0,,^2^+b,,1,,^2^)(a,,1,,b,,0,,+a,,2,,b,,1,,)) + b,,1,,((b,,0,,(b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,)) - (b,,0,,^2^+b,,1,,^2^)(a,,0,,b,,0,,+a,,1,,b,,1,,))^2^ + (b,,1,,(b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,) - (b,,0,,^2^+b,,1,,^2^)(a,,1,,b,,0,,+a,,2,,b,,1,,))^2^)) / (b,,0,,^2^+b,,1,,^2^)(b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,))^2^
    3434
    35 Step 7: alpha,,1,, = <r,,1,,, r,,1,,> / <p,,1,,, Ap,,1,,>
     35Step 7: alpha,,1,, = <r,,1,,, r,,1,,> / <p,,1,,, Ap,,1,,>  ('''No expansion''')
    3636  <p,,1,,, Ap,,1,,> = p[0](a,,0,,p[0]+a,,1,,p[1]) + p[1](a,,1,,p[0]+a,,2,,p[1])
    3737
    38   alpha,,1,, = (a,,0,,b,,0,,^2^ + 2a,,1,,b,,0,,b,,1,, + a,,2,,b,,1,,^2^) / ((-a,,1,,^2^ + a,,0,,a,,2,,) (b,,0,,^2^ + b,,1,,^2^))
     38  alpha,,1,, = ((b,,0,,(b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,)) - (b,,0,,^2^+b,,1,,^2^)(a,,0,,b,,0,,+a,,1,,b,,1,,))^2^ + (b,,1,,(b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,)) - (b,,0,,^2^+b,,1,,^2^)(a,,1,,b,,0,,+a,,2,,b,,1,,))^2^) / (p[0](a,,0,,p[0]+a,,1,,p[1]) + p[1](a,,1,,p[0]+a,,2,,p[1]))(b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,))^2^
    3939
    4040Step 8: r,,2,, = r,,1,, - alpha,,1,,*Ap,,1,,