@Article{JNMA-7-904,
author = {Wang , Yikang and Zhang , Pingping},
title = {Two Minimal Residual NHSS Iteration Methods for Complex Symmetric Linear Systems},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {3},
pages = {904--924},
abstract = {<p style="text-align: justify;">For the large sparse complex symmetric linear systems, by applying the minimal residual technique to accelerate a preconditioned variant
of new Hermitian and skew-Hermitian splitting (${\rm P}^∗{\rm NHSS}$) method and efficient parameterized ${\rm P}^∗{\rm NHSS}$ $({\rm PPNHSS})$ method, we construct the minimal
residual ${\rm P}^∗{\rm NHSS}$ $({\rm MRP}^∗{\rm NHSS})$ method and the minimal residual ${\rm PPNHSS}$ $({\rm MRPPNHSS})$ method. The convergence properties of the two iteration methods are studied. Theoretical analyses imply that the ${\rm MRP}^∗{\rm NHSS}$ method
and the ${\rm MRPPNHSS}$ method converge unconditionally to the unique solution. In addition, we also give the inexact versions of ${\rm MRP}^∗{\rm NHSS}$ method
and ${\rm MRPPNHSS}$ method and their convergence proofs. Finally, numerical
experiments show the high efficiency and robustness of our methods.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.904},
url = {http://global-sci.org/intro/article_detail/jnma/24108.html}
}