Correction: Random reordering in SOR-type methods

My joint paper (Numerische Mathematik 135:1207–1220, 2017. https://doi.org/10.1007/s00211-016-0829-7 ) with W. Zhou contains two errors which concern the derivation of some auxiliary norm estimates of the lower triangular projection for positive semi-definite Hermitean matrices in dependence on coor...

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Veröffentlicht in:Numerische Mathematik 2023, Vol.154 (3-4), p.521-525
Hauptverfasser: Oswald, Peter, Zhou, Weiqi
Format: Artikel
Sprache:eng
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Zusammenfassung:My joint paper (Numerische Mathematik 135:1207–1220, 2017. https://doi.org/10.1007/s00211-016-0829-7 ) with W. Zhou contains two errors which concern the derivation of some auxiliary norm estimates of the lower triangular projection for positive semi-definite Hermitean matrices in dependence on coordinate permutations. These errors are corrected. The main results of Oswald and Zhou (Numerische Mathematik 135:1207–1220, 2017. https://doi.org/10.1007/s00211-016-0829-7 ) about the convergence behavior of so-called shuffled and preshuffled SOR iterations are not affected.
ISSN:0029-599X
0945-3245
DOI:10.1007/s00211-023-01365-9