Bulletin of the American Physical Society
2023 Spring Meeting of the APS Eastern Great Lakes Section
Volume 68, Number 5
Saturday, April 1, 2023; Oakland University, Rochester, Michigan
Session K01: Poster Session & Snacks (3:30pm-5:00pm EDT)
3:30 PM,
Saturday, April 1, 2023
Oakland University HHB
Room: 4050
Chair: Michael Crescimanno, Department of Physics, Youngstown State University
Abstract: K01.00020 : Study on the Frequency Analysis Using a Modified Iterative Matrix Transformation Algorithm
Presenter:
Richard Kyung
(CRG-NJ)
Authors:
Richard Kyung
(CRG-NJ)
Hanyoung Jung
(CRG-NJ)
As such, in this paper, a more efficient modified iteration algorithm was studied so that the presented method can be used in practice to evaluate the eigenvalues accordingly.
The eigenvectors of the matrix can be obtained as the transformation matrices, such as constructed orthogonal matrices applied during the Jacobi iterations.
The presented method proved to be computationally efficient and accurate for frequency analysis, particularly for large datasets. It is also less sensitive to conditions of the original starting matrix than some other eigenvalue algorithms. However, it can be more complex to implement than the Jacobi method and requires more matrices to apply before proceeding to iterative transformation to ensure convergence.
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