Changes between Version 40 and Version 41 of PolynomialExpansion


Ignore:
Timestamp:
01/26/16 19:45:56 (10 years ago)
Author:
sili
Comment:

--

Legend:

Unmodified
Added
Removed
Modified

  • PolynomialExpansion

    v40 v41  
    33
    44
    5 Step 1: r,,0,, = b - Ax,,0,,; p,,0,, = r,,0,,
     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,,>
     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
    1313  alpha,,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,,))
    1414
    15 Step 3: r,,1,, = r,,0,, - alpha,,0,,  Ap,,0,,
     15Step 3: r,,1,, = r,,0,, - alpha,,0,,  Ap,,0,,  // No expansion
    1616  r[0] = (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,,)) / (b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,))
    1717
    18   r[1] = (b,,0,,(-a,,1,,b,,0,,^2^ + a,,0,,b,,0,,b,,1,, - a,,2,,b,,0,,b,,1,, + a,,1,,b,,1,,^2^)) / (b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,))
     18  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
    2020Step 4: x,,1,, = x,,0,, + alphap,,0,,