7 citations
7 papers
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…
Evaluation of POSIT Arithmetic with Accelerators
Naohito Nakasato, Yuki Murakami, Fumiya Kono +1
We present an evaluation of 32-bit POSIT arithmetic through its implementation as accelerators on FPGAs and GPUs. POSIT, a floating-point number format, adaptively changes the size…
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-…
Evaluation of specific heat for superfluid helium between 0 - 2.1 K based on nonlinear theory
Shosuke Sasaki
The specific heat of liquid helium was calculated theoretically in the Landau theory. The results deviate from experimental data in the temperature region of 1.3 - 2.1 K. Many theo…
Frequency Dependence of Diagonal Resistance in Fractional Quantum Hall Effect via Periodic Modulation of Magnetic Field
Shosuke Sasaki
Energy spectrum of fractional quantum Hall (FQH) states is composed of single electron energy (Landau energy) neglecting the Coulomb interactions between electrons, classical Coulo…