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Detalji o izabranom predavanju:
| Seminar: | Seminar za numeričku matematiku i znan. računanje |
| Naziv predavanja: | Gram-Schmidt in presence of rounding errors |
| Predavač: | Miro Rozložnik, |
| Vrijeme: |
19.07.2022 12:15 |
| Predavaonica: | 104 |
| Tip: |
Gost seminara |
| Opis: | In this contribution we first consider the most important schemes used
for orthogonalization with respect to the standard and
non-standard inner product and briefly review the main results on their
behavior in finite precision arithmetic.
We also study the
orthogonalization schemes for computing vectors that are mutually
orthogonal with respect to the bilinear form induced by a symmetric
nonsingular but indefinite matrix. In particular, we consider the
Gram-Schmidt process with respect to
this bilinear form.
We consider also their versions with reorthogonalization and with one
step of iterative refinement.
Finally we discuss the
extension of this theory to the case of skew-symmetric bilinear forms used in the
context of various structure-preserving transformations. |
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