FP64 tensor cores accelerate high-order finite-element kernels in MFEM by up to 2x with 83% energy gains and near-perfect weak scaling on exascale hardware.
Ozaki Scheme II: A GEMM- oriented emulation of floating-point matrix multiplication using an integer modular technique
7 Pith papers cite this work, alongside 1 external citations. Polarity classification is still indexing.
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A scale-invariant revision to the fast-mode scaling formula in Ozaki scheme II ensures the CRT uniqueness condition holds for all input scalings while preserving the speed of the original fast mode.
Fused Tensor Core kernels for Ozaki Schemes I and II achieve up to 83% of INT8 peak throughput and outperform cuBLAS TF32 and ZGEMM on large matrices at comparable accuracy.
Ozaki-Bailey 3D FFT achieves near memory-roof FP64 performance on B300 by emulating via FP8 tensor cores with Garner reconstruction split into phases and Kulisch escape on INT32 units.
The paper introduces matrix-multiplication-based iterative refinement for diagonalizable non-Hermitian eigendecompositions that achieves quadratic residual reduction for simple eigenvalues and includes cluster stabilization.
An adaptation of the Ozaki-II scheme allows DGEMM emulation on FP8 MMA units with significantly reduced computational cost compared to FP8-based Ozaki-I.
The quatrex quantum transport solver achieves up to 51% higher throughput using low-precision formats while maintaining accuracy on realistic semiconductor systems.
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Iterative Refinement for Diagonalizable Non-Hermitian Eigendecompositions
The paper introduces matrix-multiplication-based iterative refinement for diagonalizable non-Hermitian eigendecompositions that achieves quadratic residual reduction for simple eigenvalues and includes cluster stabilization.