  In this paper, we propose a new approach to justify a round-off error impact
on the accuracy of the linear least squares (LS) solution using Cholesky
decomposition. This decomposition is widely employed to inverse a matrix in the
linear detector of the Multi-User multi-antenna receiver. The proposed
stochastic bound is much closer to actual errors than other numerical bounds.
It was tested with a half-precision format and validated in realistic
scenarios. Experimental results demonstrate our approach predicts errors very
close to those achieved by simulations. The proposed approach can be employed
to analyze the resulting round-off error in many other applications.
