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math.NA2021
Mixed Precision -step Lanczos and Conjugate Gradient Algorithms
Erin Carson, Tomáš Gergelits
Compared to the classical Lanczos algorithm, the -step Lanczos variant has the potential to improve performance by asymptotically decreasing the synchronization cost per iterati…
math.NA2021
Numerical approximation of the spectrum of self-adjoint continuously invertible operators
Tomáš Gergelits, Bjørn Fredrik Nielsen, Zdeněk Strakoš
This paper deals with the generalized spectrum of continuously invertible linear operators defined on infinite dimensional Hilbert spaces. More precisely, we consider two bounded,…