Changes between Version 43 and Version 44 of PolynomialExpansion


Ignore:
Timestamp:
01/26/16 19:55:47 (10 years ago)
Author:
sili
Comment:

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Legend:

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  • PolynomialExpansion

    v43 v44  
    33
    44
    5 Step 1: r,,0,, = b - Ax,,0,,; p,,0,, = r,,0,, ('''No expansion''')
     5Step 1: r,,0,, = b - Ax,,0,,; p,,0,, = r,,0,,  ('''No expansion''')
    66  r[0] = b,,0,,
    77
    88  r[1] = b,,1,,
    99
    10 Step 2: alpha,,0,, = <r,,0,,, r,,0,,> / <p,,0,,, Ap,,0,,> ('''No expansion''')
     10Step 2: alpha,,0,, = <r,,0,,, r,,0,,> / <p,,0,,, Ap,,0,,>  ('''No expansion''')
    1111  <p,,0,,, Ap,,0,,> = b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,)
    1212
    … …  
    1818  r[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,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,))
    1919
    20 Step 4: x,,1,, = x,,0,, + alphap,,0,,
     20Step 4: x,,1,, = x,,0,, + alphap,,0,,  ('''No expansion''')
    2121  x[0] = (b,,0,,(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,,))
    2222