Changes between Version 41 and Version 42 of PolynomialExpansion


Ignore:
Timestamp:
01/26/16 19:49:40 (10 years ago)
Author:
sili
Comment:

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  • PolynomialExpansion

    v41 v42  
    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
    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,,  // No expansion
     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