9 citations · 30 across the 18 of their papers we have counts for
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A Branch-Free General Renormalization Scheme for Pair Arithmetic and Its Performance Evaluation
Tomonori Kouya
Pair arithmetic omits the renormalization stage performed at the end of each operation of multi-component multiple-precision arithmetic, reducing the operation count and, by elimin…
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…
Accelerating Multiple-Precision LU Decomposition with Ozaki Scheme II
Tomonori Kouya
Solving ill-conditioned linear systems needs LU decomposition in precisions beyond binary64. The standard approaches -- GMP/MPFR, or multi-component arithmetic such as double-doubl…
Ozaki Scheme II Is Fast on CPUs Too: Multiple-Precision Matrix Multiplication on Intel AMX-INT8 and Arm SVE2-i8mm
Tomonori Kouya
We implement Ozaki Scheme II (residue number system + Chinese remainder theorem), which reduces multiple-precision dense matrix multiplication to a sequence of low-precision, high-…
Performance evaluation of branch-free fused multiply-add algorithms for multi-component-type multiple-precision floating-point arithmetic
Tomonori Kouya
Multicomponent multiple-precision arithmetic is constructed from existing floating-point operations using error-free transformations (EFTs). Its performance can be improved by empl…
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…
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…