%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