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Variants of IDR with partial orthonormalization
Citation Link: https://doi.org/10.15480/882.1286
Publikationstyp
Preprint
Date Issued
2016-03
Sprache
English
Author(s)
Institut
TORE-DOI
First published in
Preprints des Institutes für Mathematik;Bericht 197
Number in series
197
Citation
Preprint. Published in: Electronic transactions on numerical analysis (ETNA). Volume 46, pp. 245-272, 2017
We present four variants of IDR(s) that generate vectors such that consecutive blocks of s+1 vectors are orthonormal. IDR methods are based on tuning parameters: an initially chosen, so-called shadow space, and the so-called seed values. We collect possible choices for the seed values. We prove that under certain conditions all four variants are mathematically equivalent and discuss possible breakdowns. We give an error analysis of all four variants and a numerical comparison in the context of the solution of linear systems and eigenvalue problems.
Subjects
IDR
partial orthonormalization
minimum norm expansion
error analysis
DDC Class
510: Mathematik
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