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We present a new receiver structure able to deliver high data rates in a multi-input-multi-output (MIMO) frequency selective wireless environment. The new algorithm is obtained by canceling interference from the received symbols successively with the decision feed-forward equalizer (DFE) solution as a well known expression encountered in fast recursive least squares (RLS) adaptive algorithms, and the decision feedback equalizer as a convolution of the decision feed-forward equalizer with the channel. The proposed method is more structured and more stable in finite precision than known algorithms in the literature. The convergence and performance of these algorithms is confirmed through simulation results.