From the 1 of 6 linked papers with an AI index.
6 papers
Performance Evaluation of an Adaptive Quadrature and a Double Exponential Formula Using Arbitrary-Precision Floating-Point Arithmetic
Tomonori Kouya
Using arbitrary-precision arithmetic provided by the GNU Multiple Precision Floating-Point Reliable Library, we implement AQE11D---that is, Ninomiya's adaptive 9-point Newton--Cote…
Construction and Performance Evaluation of an Arbitrary-Precision Floating-Point Arithmetic Environment on CUDA
Tomonori Kouya
Arbitrary-precision floating-point arithmetic is used to solve ill-conditioned problems in scientific computing, and MPFR and MPC have become the de facto standard libraries for CP…
Performance evaluation of branch-free fused multiply-add algorithms for multi-component-type multiple-precision floating-point arithmetic
Tomonori Kouya
The paper introduces new branch‑free fused multiply‑add algorithms for double‑, triple‑, and quadruple‑word multiple‑precision floating‑point arithmetic and demonstrates their perf…
Acceleration of multi-component multiple-precision arithmetic with branch-free algorithms and SIMD vectorization
Tomonori Kouya
Multiple-precision floating-point branch-free algorithms can significantly accelerate multi-component arithmetic implemented by combining hardware-based binary64 and binary32, part…
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…
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…