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On computation of skew-symmetric generator for an orthogonal matrix
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Except where otherwise noted, this item's license is described as Dozwolony użytek utworów chronionych
On computation of skew-symmetric generator for an orthogonal matrix
Bibliographic description
| title: | On computation of skew-symmetric generator for an orthogonal matrix |
| author: | Biborski Iwo 
|
| journal title: | Universitatis Iagellonicae Acta Mathematica |
| volume: | 50 |
| date of publication : | 2012 |
| pages: | 47-51 |
| ISSN: |
0083-4386 |
| eISSN: |
2084-3828 |
| DOI: | |
| language: | English |
| journal language: | English |
| abstract in English: | In this paper, we constructively prove that for any matrix A over a _eld of characteristic 0 and its eigenvalue _ 6= 0 there exists a diago-nal matrix D with diagonal coe_cients _1 such that DA has no eigenvalue_. Hence and by the canonical result on Cayley transformation, for each or-thogonal matrix U one can _nd a diagonal matrix D and a skew-symmetric matrix S such that U = D(S - I)-1(S + I). |
| affiliation: | Wydział Matematyki i Informatyki : Instytut Matematyki |
| type: | journal article |
| subtype: | academic paper |
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