  Recent matrix completion based methods have not been able to properly model
the Haplotype Assembly Problem (HAP) for noisy observations. To cope with such
a case, in this letter we propose a new Minimum Error Correction (MEC) based
matrix completion optimization problem over the manifold of rank-one matrices.
The convergence of a specific iterative algorithm for solving this problem is
proved. Simulation results illustrate that the proposed method not only
outperforms some well-known matrix completion based methods, but also presents
a more accurate result compared to a most recent MEC based algorithm for
haplotype estimation.
