Tangential decomposition
type: Item
instance of: scholarly article
title: Tangential decomposition
zbMATH Open document ID: 0916.65030
DOI: 10.1007/BF02684353
published in: Computing
publication date: 1999-07-06T00:00:00Z
review text: The tangential block decomposition for block-tridiagonal matrices is introduced, which is in many aspects similar to the ones being used in frequency filtering. In opposite to those methods, for the class of model problems this new approach does not use any test vectors for its implementation. Similar to many iterative methods, it needs only bounds for extremal eigenvalues. Theoretical properties of this scheme are similar to those for the ADI-method. Convergence analysis is given by test examples.
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65N22
zbMATH DE Number: 1233905
zbMATH Keywords: convergence
zbMATH Keywords: tangential block decomposition
zbMATH Keywords: block-tridiagonal matrices
zbMATH Keywords: frequency filtering
zbMATH Keywords: iterative methods
zbMATH Keywords: extremal eigenvalues
zbMATH Keywords: ADI-method
zbMATH Keywords: test examples
author: A. A. Buzdin
reviewed by: F. Szidarovszky
MaRDI profile type: Publication
cites work: Q3123963
cites work: Q4040738
cites work: Q5342712
cites work: Q4372457
cites work: Tangential frequency filtering decompositions for unsymmetric matrices
cites work: Q4002949
full work available at URL: https://doi.org/10.1007/bf02684353
OpenAlex ID: W2914503553
description: scientific article; zbMATH DE number 1233905