@article{oai:repository.nii.ac.jp:02000367,
author = {速水, 謙 and Hayami, Ken},
journal = {NIIテクニカル・レポート, NII Technical Report},
month = {Jul},
note = {In this short paper, we analyze the convergence of the Conjugate Gradient (CG) method in exact arithmetic, when the coefficient matrix A is symmetric positive semidefinite and the system is consistent. To do so, we diagonalize A and decompose the algorithm into the range and the null space components of A. Further, we apply the analysis to the CGLS and CGNE (CG Normal Error) methods for rank-deficient least squares problems.},
pages = {1--7},
title = {NII Technical Report (NII-2018-001E)：Convergence of the Conjugate Gradient Method on Singular Systems},
year = {2018}
}