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Sökning: WFRF:(Claesson Melker)

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1.
  • Barbarino, Giovanni, et al. (författare)
  • Matrix-Less Eigensolver for Large Structured Matrices
  • 2021
  • Rapport (övrigt vetenskapligt/konstnärligt)abstract
    • Sequences of structured matrices of increasing size arise in many scientific applications and especially in the numerical discretization of linear differential problems. We assume as a working hypothesis that the eigenvalues of a matrix X_n belonging to a sequence of this kind are given by a regular expansion. Based on this working hypothesis, which is illustrated to be plausible through numerical experiments, we propose an eigensolver for the computation of the eigenvalues of X_n for large n and we provide a theoretical analysis of its convergence. The eigensolver is called matrix-less because it does not operate on the matrix X_n but on a few similar matrices of smaller size combined with an interpolation-extrapolation strategy. Its performance is benchmarked on several numerical examples, with a special focus on matrices arising from the discretization of differential problems.
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2.
  • Barbarino, Giovanni, et al. (författare)
  • Matrix-Less Eigensolver for Large Structured Matrices
  • 2021
  • Rapport (övrigt vetenskapligt/konstnärligt)abstract
    • Sequences of structured matrices of increasing size arise in many scientific applications and especially in the numerical discretization of linear differential problems. We assume as a working hypothesis that the eigenvalues of a matrix X_n belonging to a sequence of this kind are given by a regular expansion. Based on the working hypothesis, which is proved to be plausible through numerical experiments, we propose an eigensolver for the computation of the eigenvalues of X_n for large n. The performance of the eigensolver—which is called matrix-less because it does not operate on the matrix X_n—is illustrated on several numerical examples, with a special focus on matrices arising from the discretization of differential problems, and turns out to be quite satisfactory in all cases. In a sense, this is an a posteriori proof of the reasonableness of the working hypothesis as well as a testimony of the fact that the spectra of large structured matrices are much more “regular” than one might expect.
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  • Resultat 1-2 av 2
Typ av publikation
rapport (2)
Typ av innehåll
övrigt vetenskapligt/konstnärligt (2)
Författare/redaktör
Ekström, Sven-Erik (2)
Barbarino, Giovanni (2)
Garoni, Carlo (2)
Claesson, Melker (2)
Meadon, David (2)
Speleers, Hendrik (1)
Lärosäte
Uppsala universitet (2)
Språk
Engelska (2)
År
2021 (2)

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