%0 Journal Article %A Davod Khojasteh Salkuyeh and Sayyed Hasan Azizi %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 55, 2011 %T Gauss-Seidel Iterative Methods for Rank Deficient Least Squares Problems %U https://publications.waset.org/pdf/14436 %V 55 %X We study the semiconvergence of Gauss-Seidel iterative methods for the least squares solution of minimal norm of rank deficient linear systems of equations. Necessary and sufficient conditions for the semiconvergence of the Gauss-Seidel iterative method are given. We also show that if the linear system of equations is consistent, then the proposed methods with a zero vector as an initial guess converge in one iteration. Some numerical results are given to illustrate the theoretical results. %P 1010 - 1014