Davod Khojasteh Salkuyeh and Sayyed Hasan Azizi
GaussSeidel Iterative Methods for Rank Deficient Least Squares Problems
1010 - 1014
2011
5
7
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/14436
https://publications.waset.org/vol/55
World Academy of Science, Engineering and Technology
We study the semiconvergence of GaussSeidel 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 GaussSeidel 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.
Open Science Index 55, 2011