4 citations · 10 across the 10 of their papers we have counts for
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Tekum: Balanced Ternary Tapered Precision Real Arithmetic
Laslo Hunhold
In light of recent hardware advances, it is striking that real arithmetic in balanced ternary logic has received almost no attention in the literature. This is particularly surpris…
Streamlining SIMD ISA Extensions with Takum Arithmetic: A Case Study on Intel AVX10.2
Laslo Hunhold
Modern microprocessors extend their instruction set architecture (ISA) with Single Instruction, Multiple Data (SIMD) operations to improve performance. The Intel Advanced Vector Ex…
Spectral Methods via FFTs in Emerging Machine Number Formats: OFP8, Bfloat16, Posit, and Takum Arithmetics
Laslo Hunhold, John Gustafson
The Fast Fourier Transform (FFT) is one of the most widely used algorithms in high performance computing, with critical applications in spectral analysis for both signal processing…
Numerical Performance of the Implicitly Restarted Arnoldi Method in OFP8, Bfloat16, Posit, and Takum Arithmetics
Laslo Hunhold, James Quinlan, Stefan Wesner
The computation of select eigenvalues and eigenvectors of large, sparse matrices is fundamental to a wide range of applications. Accordingly, evaluating the numerical performance o…