New Smoothing Iterative Block Methods for Linear Systems with Multiple Right-hand Sides
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@Article{JICS-1-311,
author = {},
title = {New Smoothing Iterative Block Methods for Linear Systems with Multiple Right-hand Sides},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {1},
number = {5},
pages = {311--317},
abstract = { In the present paper, we propose new smoothing procedures for iterative block methods for
solving nonsymmetric linear systems of equations with multiple right-hand sides. These procedures
generalize those known for solving linear systems with one right-hand. We first give some properties of these
new algorithms. Then new methods such as the global minimal residual smoothing (GMRS) algorithm and
the smoothed global biconjugate gradient (SGL-BCG) algorithm are introduced. Finally, numerical examples
are given.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22830.html}
}
TY - JOUR
T1 - New Smoothing Iterative Block Methods for Linear Systems with Multiple Right-hand Sides
AU -
JO - Journal of Information and Computing Science
VL - 5
SP - 311
EP - 317
PY - 2024
DA - 2024/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22830.html
KW - Block methods, Smoothing, Iterative methods, Nonsymmetric linear systems, Mutiple right-hand
sides, Matrix Krylov subspace, GL-BCG algorithm
AB - In the present paper, we propose new smoothing procedures for iterative block methods for
solving nonsymmetric linear systems of equations with multiple right-hand sides. These procedures
generalize those known for solving linear systems with one right-hand. We first give some properties of these
new algorithms. Then new methods such as the global minimal residual smoothing (GMRS) algorithm and
the smoothed global biconjugate gradient (SGL-BCG) algorithm are introduced. Finally, numerical examples
are given.
. (2024). New Smoothing Iterative Block Methods for Linear Systems with Multiple Right-hand Sides.
Journal of Information and Computing Science. 1 (5).
311-317.
doi:
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