Recovering the Original State Vector Form
06 Mar 2012, 10:47 UTC
The original state vector form is recovered like so:
h = x + a(F.S + fx)/(1-fa)
= (x - fax + aF.S + afx)/(1-fa)
= (x + aF.S)/(1-fa)
S' = G*S + (xX + (aX)F.S)/(1-fa)
= G'*S + xX'
where
X' = X/(1-fa)
G' = G + (aX/(1-fa))F.
Note the last line ends with the operator (aX/(1-fa))F. - this is a vector times a dot product operator, which acts on a vector (S) to the right. This operator can be expressed as a matrix, which is added to G to give G'.
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