Weighted Harmonic Projection Method for Computing the Eigenvalues of Nonsymmetric Matrix
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@Article{JICS-4-183,
author = {Hossein Aminikhah and Hossein Moosaei},
title = {Weighted Harmonic Projection Method for Computing the Eigenvalues of Nonsymmetric Matrix},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {4},
number = {3},
pages = {183--190},
abstract = {The harmonic projection method can be used to find interior eigenpairs of large matrices. Given
a target point or shift t to which the needed interior eigenvalues are close, the desired interior eigenpairs are
the eigenvalues nearest t and the associated eigenvectors. In this paper, we present a new algorithm, which
is called weighted harmonic projection algorithm for computing the eigenvalues of a nonsymmetric matrix.
The implementation of the algorithm has been tested by numerical examples, the results show that the
algorithm converges fast and works with high accuracy
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22744.html}
}
TY - JOUR
T1 - Weighted Harmonic Projection Method for Computing the Eigenvalues of Nonsymmetric Matrix
AU - Hossein Aminikhah and Hossein Moosaei
JO - Journal of Information and Computing Science
VL - 3
SP - 183
EP - 190
PY - 2024
DA - 2024/01
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22744.html
KW - Harmonic projection method, Nonsymmetric matrix, Weighted Arnoldi, Weighted harmonic.
AB - The harmonic projection method can be used to find interior eigenpairs of large matrices. Given
a target point or shift t to which the needed interior eigenvalues are close, the desired interior eigenpairs are
the eigenvalues nearest t and the associated eigenvectors. In this paper, we present a new algorithm, which
is called weighted harmonic projection algorithm for computing the eigenvalues of a nonsymmetric matrix.
The implementation of the algorithm has been tested by numerical examples, the results show that the
algorithm converges fast and works with high accuracy
Hossein Aminikhah and Hossein Moosaei. (2024). Weighted Harmonic Projection Method for Computing the Eigenvalues of Nonsymmetric Matrix.
Journal of Information and Computing Science. 4 (3).
183-190.
doi:
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