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The J-Householder matrices
Let J=0I-I0∈M2n(C). Let 0≠u∈C2n be given. A J-Householder matrix corresponding to u is Hu≡I-uuTJ. We show that every symplectic matrix is a product of J-Householder matrices. We present properties of J-Householder matrices, and we also present the possible Jordan Canonical Forms of products of two J...
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Published in: | Linear algebra and its applications 2012-03, Vol.436 (5), p.1189-1194 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | Let J=0I-I0∈M2n(C). Let 0≠u∈C2n be given. A J-Householder matrix corresponding to u is Hu≡I-uuTJ. We show that every symplectic matrix is a product of J-Householder matrices. We present properties of J-Householder matrices, and we also present the possible Jordan Canonical Forms of products of two J-Householder matrices. |
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ISSN: | 0024-3795 1873-1856 |
DOI: | 10.1016/j.laa.2011.08.002 |