@article{(Open Science Index):https://publications.waset.org/pdf/14436, title = {Gauss-Seidel Iterative Methods for Rank Deficient Least Squares Problems}, author = {Davod Khojasteh Salkuyeh and Sayyed Hasan Azizi}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {5}, number = {7}, year = {2011}, pages = {1010 - 1014}, ee = {https://publications.waset.org/pdf/14436}, url = {https://publications.waset.org/vol/55}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 55, 2011}, }