19 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
7 papers · 1 filter
Performance evaluation of accelerated complex multiple-precision LU decomposition
Tomonori Kouya
The direct method is one of the most important algorithms for solving linear systems of equations, with LU decomposition comprising a significant portion of its computation time. T…
Acceleration of multiple precision solver for ill-conditioned algebraic equations with lower precision eigensolver
Tomonori Kouya
There are some types of ill-conditioned algebraic equations that have difficulty in obtaining accurate roots and coefficients that must be expressed with a multiple precision float…
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-…
Performance Evaluation of an Extrapolation Method for Ordinary Differential Equations with Error-free Transformation
Tomonori Kouya
The application of error-free transformation (EFT) is recently being developed to solve ill-conditioned problems. It can reduce the number of arithmetic operations required, compar…
Performance evaluation of multiple precision matrix multiplications using parallelized Strassen and Winograd algorithms
Tomonori Kouya
It is well known that Strassen and Winograd algorithms can reduce the computational costs associated with dense matrix multiplication. We have already shown that they are also very…
Accelerated Multiple Precision Matrix Multiplication using Strassen's Algorithm and Winograd's Variant
Tomonori Kouya
The Strassen algorithm and Winograd's variant accelerate matrix multiplication by using fewer arithmetic operations than standard matrix multiplication. Although many papers have b…
Practical Implementation of High-Order Multiple Precision Fully Implicit Runge-Kutta Methods with Step Size Control Using Embedded Formula
Tomonori Kouya
We propose a practical implementation of high-order fully implicit Runge-Kutta(IRK) methods in a multiple precision floating-point environment. Although implementations based on IR…