@Article{JCM-31-326,
author = {Guiding Gu},
title = {On Convergence Property of the Lanczos Method for Solving a Complex Shifted Hermitian Linear System},
journal = {Journal of Computational Mathematics},
year = {2013},
volume = {31},
number = {3},
pages = {326--334},
abstract = {<p style="text-align: justify;">We discuss the convergence property of the Lanczos method for solving a complex shifted Hermitian linear system $(α I + H)x = f$. By showing the colinear coefficient of two system&#39;s residuals, our convergence analysis reveals that under the condition $Re(α)+ λ _{min}(H)&gt;0$, the method converges faster than that for the real shifted Hermitian linear system $(Re(α) I+H)x=f$. Numerical experiments verify such convergence property.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1212-m4186},
url = {http://global-sci.org/intro/article_detail/jcm/9737.html}
}