2024-03-29T00:55:46Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00030226
2023-01-16T03:51:45Z
435:671:672
Research on the Convergence of Iterative Method Using Mixed Precision Calculation Solving Complex Symmetric Linear Equation
Masui, Koki
Ogino, Masao
桝井, 晃基
荻野, 正雄
open access
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Complex symmetric matrices
Electromagnetic fields
High-precision calculation
Iterative methods
This article investigates the complex symmetric linear equations that appear in high-frequency electromagnetic-field analysis. As an efficient linear solver, we propose a mixed-precision iterative method with double- and double-double (DD)-precision floating-point numbers and an efficient implementation of DD-precision arithmetic with fused multiply-add instructions. Using the proposed method, we successfully reduce both iteration count and calculation time compared with the conventional method. Moreover, we demonstrate the relationship between multiple-precision arithmetic and the acceleration factor of the incomplete Cholesky factorization.
IEEE
2020-01
eng
journal article
AM
http://hdl.handle.net/2237/00032412
https://nagoya.repo.nii.ac.jp/records/30226
https://doi.org/10.1109/TMAG.2019.2951280
0018-9464
IEEE Transactions on Magnetics
56
1
1
4
https://nagoya.repo.nii.ac.jp/record/30226/files/article_masui.pdf
application/pdf
576.6 kB
2020-06-18