@article{(Open Science Index):https://publications.waset.org/pdf/5480, title = {Approximate Solutions to Large Stein Matrix Equations}, author = {Khalide Jbilou}, country = {}, institution = {}, abstract = {In the present paper, we propose numerical methods for solving the Stein equation AXC - X - D = 0 where the matrix A is large and sparse. Such problems appear in discrete-time control problems, filtering and image restoration. We consider the case where the matrix D is of full rank and the case where D is factored as a product of two matrices. The proposed methods are Krylov subspace methods based on the block Arnoldi algorithm. We give theoretical results and we report some numerical experiments. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {6}, number = {10}, year = {2012}, pages = {1380 - 1384}, ee = {https://publications.waset.org/pdf/5480}, url = {https://publications.waset.org/vol/70}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 70, 2012}, }