[R] Calculate the weithed mean of a matrix

[sirus]

Hello every body so I am writing the FCM algorithm in R, but I am  wondring
about the efficiency,
When calculating the centers using the formula
http://r.789695.n4.nabble.com/file/n3024803/ComputeCenters.png  

where here each X_i is a vector and U_ij are in a matrix,
in other words
I want to multiply each vector in X by a weight and then sum them up and
calculate the mean.

Thank you in advance for your help 
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