Changes between Version 74 and Version 75 of PolynomialExpansion


Ignore:
Timestamp:
01/27/16 16:56:50 (10 years ago)
Author:
sili
Comment:

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  • PolynomialExpansion

    v74 v75  
    2424
    2525Step 5: beta = rsnew / rsold = <r,,1,,, r,,1,,> / <r,,0,,, r,,0,,>  ('''No expansion''')
    26   to make it simple to read, let's devote m = b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,)
     26  **to make it simple to read, let's devote m = b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,)
    2727 
    2828  rsnew =
     
    3737
    3838Step 6: p,,1,, = r,,1,, +beta*p,,0,,  ('''No expansion''')
    39   p,,1,,[0] = m(b,,0,,^2^+b,,1,,^2^)(b,,0,,m - (b,,0,,^2^+b,,1,,^2^)(a,,0,,b,,0,,+a,,1,,b,,1,,)) + b,,0,,[(b,,0,,m - (b,,0,,^2^+b,,1,,^2^)(a,,0,,b,,0,,+a,,1,,b,,1,,))^2^ + (b,,1,,m - (b,,0,,^2^+b,,1,,^2^)(a,,1,,b,,0,,+a,,2,,b,,1,,))^2^]\\
    40    ----------------------------------------------------------------------\\
     39  p,,1,,[0] =
     40   m(b,,0,,^2^+b,,1,,^2^)[b,,0,,m - (b,,0,,^2^+b,,1,,^2^)(a,,0,,b,,0,,+a,,1,,b,,1,,)] + b,,0,,{[b,,0,,m - (b,,0,,^2^+b,,1,,^2^)(a,,0,,b,,0,,+a,,1,,b,,1,,)]^2^ + [b,,1,,m - (b,,0,,^2^+b,,1,,^2^)(a,,1,,b,,0,,+a,,2,,b,,1,,)]^2^}\\
     41   --------------------------------------------------------------------------------------------------------------------\\
    4142   (b,,0,,^2^+b,,1,,^2^)m^2^
    4243