@Article{JCM-24-4,
author = {},
title = {A Shift-Splitting Preconditioner for Non-Hermitian Positive Definite Matrices},
journal = {Journal of Computational Mathematics},
year = {2006},
volume = {24},
number = {4},
pages = {539--552},
abstract = {<p style="text-align: justify;">A shift splitting concept is introduced and, correspondingly, a shift-splitting iteration scheme and a shift-splitting preconditioner are presented, for solving the large sparse system of linear equations of which the coefficient matrix is an ill-conditioned non-Hermitian positive definite matrix. The convergence property of the shift-splitting iteration method and the eigenvalue distribution of the shift-splitting preconditioned matrix are discussed in depth, and the best possible choice of the shift is investigated in detail. Numerical computations show that the shift-splitting preconditioner can induce accurate, robust and effective preconditioned Krylov subspace iteration methods for solving the large sparse non-Hermitian positive definite systems of linear equations.</p>},
issn = {1991-7139},
doi = {https://doi.org/2006-JCM-8773},
url = {https://global-sci.com/article/85098/a-shift-splitting-preconditioner-for-non-hermitian-positive-definite-matrices}
}