1. A method for facilitating equalization in a receiver chain in a wireless communication system, the method comprising: generating, with a processor, an equalizer matrix for a tone of a received signal, wherein the equalizer matrix is a function of an inverse matrix computed based at least in part upon a partial update of a subset of elements of a fast square root matrix, wherein the fast square root matrix is specified as a function of an interference variance; and equalizing, with the processor the tone as a function of the equalizer matrix; wherein performing the partial update of the subset of elements of the fast square root matrix comprises determining a rotation matrix in accordance with a Householder reflection approach.