Changes between Version 38 and Version 39 of PolynomialExpansion

Timestamp:

01/26/16 19:25:37 (10 years ago)

Author:

sili

Comment:

--

PolynomialExpansion

@@ -29 +29 @@
 
 Step 6: p,,1,, = r,,1,, +beta  p,,0,,
-  p[0] = (-1)((a,,1,,b,,0,, + a,,2,,b,,1,,)(b,,0,,^2^ + b,,1,,^2^)(-a,,1,,b,,0,,^2^ + a,,0,,b,,0,,b,,1,, - a,,2,,b,,0,,b,,1,, + a,,1,,b,,1,,^2^)) / (a,,0,,b,,0,,^2^ + 2a,,1,,b,,0,,b,,1,, + a,,2,,b,,1,,^2^)^2^
+  p[0] = (-1)((a,,1,,b,,0,, + a,,2,,b,,1,,)(b,,0,,^2^ + b,,1,,^2^)(-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,,))^2^
 
-  p[1] = ((a,,0,,b,,0,, + a,,1,,b,,1,,)(b,,0,,^2^ + b,,1,,^2^)(-a,,1,,b,,0,,^2^ + a,,0,,b,,0,,b,,1,, - a,,2,,b,,0,,b,,1,, + a,,1,,b,,1,,^2^)) / (a,,0,,b,,0,,^2^ + 2a,,1,,b,,0,,b,,1,, + a,,2,,b,,1,,^2^)^2^
+  p[1] = ((a,,0,,b,,0,, + a,,1,,b,,1,,)(b,,0,,^2^ + b,,1,,^2^)(-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,,))^2^
 
 Step 7: alpha,,1,, = <r,,1,,, r,,1,,> / <p,,1,,, Ap,,1,,>
-  <p,,1,,, Ap,,1,,> = ((-a,,1,,^2^ + a,,0,,a,,2,,)(b,,0,,^2^ + b,,1,,^2^)^2^(-a,,1,,b,,0,,^2^ + a,,0,,b,,0,,b,,1,, - a,,2,,b,,0,,b,,1,, + a,,1,,b,,1,,^2^)^2^) / (a,,0,,b,,0,,^2^ + 2a,,1,,b,,0,,b,,1,, + a,,2,,b,,1,,^2^)^3^
+  <p,,1,,, Ap,,1,,> = ((-a,,1,,^2^ + a,,0,,a,,2,,)(b,,0,,^2^ + b,,1,,^2^)^2^(-a,,1,,b,,0,,^2^ + a,,0,,b,,0,,b,,1,, - a,,2,,b,,0,,b,,1,, + a,,1,,b,,1,,^2^)^2^) / (b,,0,,(a,,0,,b,,0,, + a,,1,,b,,1,,) + b,,1,,(a,,1,,b,,0,, + a,,2,,b,,1,,))^3^
 
   alpha,,1,, = (a,,0,,b,,0,,^2^ + 2a,,1,,b,,0,,b,,1,, + a,,2,,b,,1,,^2^) / ((-a,,1,,^2^ + a,,0,,a,,2,,) (b,,0,,^2^ + b,,1,,^2^))