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math.NA2025
Assessing the Performance of Mixed-Precision ILU(0)-Preconditioned Multiple-Precision Real and Complex Krylov Subspace Methods
Tomonori Kouya
Krylov subspace methods are linear solvers based on matrix-vector multiplications and vector operations. While easily parallelizable, they are sensitive to rounding errors and may…
math.NA2024
Performance evaluation of accelerated real and complex multiple-precision sparse matrix-vector multiplication
Tomonori Kouya
Sparse matrices have recently played a significant and impactful role in scientific computing, including artificial intelligence-related fields. According to historical studies on…
math.NA2021
Acceleration of multiple precision matrix multiplication based on multi-component floating-point arithmetic using AVX2
Tomonori Kouya
In this paper, we report the results obtained from the acceleration of multi-binary64-type multiple precision matrix multiplication with AVX2. We target double-double (DD), triple-…