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pro vyhledávání: '"Hochstenbach, Michiel Erik"'
Autor:
Hochstenbach, Michiel Erik
This thesis treats a number of aspects of subspace methods for various eigenvalue problems. Vibrations and their corresponding eigenvalues (or frequencies) arise in science, engineering, and daily life. Matrix eigenvalue problems come from a large nu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::a80e32da099189d8dac91a888630259a
https://dspace.library.uu.nl/handle/1874/881
https://dspace.library.uu.nl/handle/1874/881
We consider the quadratic eigenvalue problem a²Ax + aBx + Cx = 0. Suppose that u is an approximation to an eigenvector x (for instance obtained by a subspace method), and that we want to determine an approximation to the corresponding eigenvalue a.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::41092769d4c6730268f53a6f3e131372
https://dspace.library.uu.nl/handle/1874/2479
https://dspace.library.uu.nl/handle/1874/2479
We discuss two variants of a two-sided Jacobi-Davidson method, which have asymptotically cubic convergence for nonnormal matrices and aim to find both right and left eigenvectors. These methods can be seen as Jacobi-Davidson analogs of Ostrowskis t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::9cd85287a52c53c70589027e71cc76d5
https://dspace.library.uu.nl/handle/1874/2492
https://dspace.library.uu.nl/handle/1874/2492
Computing probabilistic bounds for extreme eigenvalues of symmetric matrices with the Lanczos method
Publikováno v:
SIAM Journal on Matrix Analysis and Applications, 22(3), 837
We study the Lanczos method for computing extreme eigenvalues of a symmetric or Hermitian matrix. It is not guaranteed that the extreme Ritz values are close to the extreme eigenvalues|even when the norms of the corresponding residual vectors are sma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::38742ff44009db16087538fe32fcc59a
https://dspace.library.uu.nl/handle/1874/2041
https://dspace.library.uu.nl/handle/1874/2041