Changes between Version 64 and Version 65 of PolynomialExpansion


Ignore:
Timestamp:
01/27/16 16:04:27 (10 years ago)
Author:
sili
Comment:

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  • PolynomialExpansion

    v64 v65  
    55
    66  x=
    7       a [[BR]]---[[BR]]b
     7        a [[BR]]---[[BR]]  b
    88
    99Step 1: r,,0,, = b - Ax,,0,,; p,,0,, = r,,0,,  ('''No expansion''')
    … …  
    3333   b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,)^2^
    3434
    35   beta = ((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^) \\
     35  beta =
     36   ((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^) \\
    3637-------------------------------------------------------------------------------------------------------------
    37 ----\\
    38  (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^
     38\\
     39   (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^
    3940
    4041Step 6: p,,1,, = r,,1,, +beta*p,,0,,  ('''No expansion''')