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2024 | OriginalPaper | Chapter

Performance Evaluation of Accelerated Complex Multiple-Precision LU Decomposition

Author : Tomonori Kouya

Published in: Computational Science and Its Applications – ICCSA 2024 Workshops

Publisher: Springer Nature Switzerland

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Abstract

The chapter delves into the performance evaluation of accelerated complex multiple-precision LU decomposition, a critical method in scientific computations. It begins by discussing the importance of LU decomposition in solving linear systems and the challenges posed by mixed-precision computing. The authors introduce the 3M method, which optimizes complex multiplication, and explore the use of SIMDization with AVX2 to enhance performance. Benchmark tests are conducted to compare different algorithms and precision levels, including DD, TD, and QD. The results demonstrate significant performance improvements in serial and parallel computations, highlighting the potential of these techniques for high-performance computing. The chapter concludes with a summary of the findings and suggestions for future work, emphasizing the need for further enhancements in numerical algorithms for ill-conditioned nonlinear problems.
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Metadata
Title
Performance Evaluation of Accelerated Complex Multiple-Precision LU Decomposition
Author
Tomonori Kouya
Copyright Year
2024
Book
Computational Science and Its Applications – ICCSA 2024 Workshops

Print ISBN: 978-3-031-65272-1

Electronic ISBN: 978-3-031-65273-8

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-3-031-65273-8_1

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