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math.NA2025★ 1 cited
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…
math.NA2024★ 4 cited
Evaluation of Bfloat16, Posit, and Takum Arithmetics in Sparse Linear Solvers
Laslo Hunhold, James Quinlan
Solving sparse linear systems lies at the core of numerous computational applications. Consequently, understanding the performance of recently proposed alternatives to the establis…