On doubly structured matrices and pencils that arise in linear response theory
View/ Open
Issue Date
2004-03-15Author
Mehl, Christian
Mehrmann, Volker
Xu, Hongguo
Publisher
ELSEVIER SCIENCE INC
Format
316001 bytes
Type
Article
Metadata
Show full item recordAbstract
We discuss matrix pencils with a double symmetry structure that arise in the Hartree-Fock model in quantum chemistry. We derive anti-triangular condensed forms from which the eigenvalues can be read off. Ideally these would be condensed forms under unitary equivalence transformations that can be turned into stable (structure preserving) numerical methods. For the pencils under consideration this is a difficult task and not always possible. We present necessary and sufficient conditions when this is possible. If this is not possible then we show how we can include other transformations that allow to reduce the pencil to an almost anti-triangular form. (C) 2003 Elsevier Inc. All rights reserved.
Collections
Citation
Mehl, C; Mehrmann, V; Xu, HG. On doubly structured matrices and pencils that arise in linear response theory. LINEAR ALGEBRA AND ITS APPLICATIONS. March 15 2004. 380:3-51.
Items in KU ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
We want to hear from you! Please share your stories about how Open Access to this item benefits YOU.