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The antitriangular factorization of saddle point matrices

Abstract:

Mastronardi and Van Dooren [SIAM J. Matrix Anal. Appl., 34 (2013), pp. 173–196] recently introduced the block antitriangular (“Batman”) decomposition for symmetric indefinite matrices. Here we show the simplification of this factorization for saddle point matrices and demonstrate how it represents the common nullspace method. We show that rank-1 updates to the saddle point matrix can be easily incorporated into the factorization and give bounds on the eigenvalues of matrices important in sadd...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1137/130934933

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
New College
Role:
Author
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Matrix Analysis and Applications Journal website
Volume:
35
Issue:
2
Pages:
339-353
Publication date:
2014-04-01
Acceptance date:
2014-01-28
DOI:
EISSN:
1095-7162
ISSN:
0895-4798
Source identifiers:
477239
Keywords:
Pubs id:
pubs:477239
UUID:
uuid:3c76a726-19e8-402f-a25b-95ec2ac8cce2
Local pid:
pubs:477239
Deposit date:
2017-11-27

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