1 | % BibTeX bibliography file for the QTFM toolbox and papers or articles |
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2 | % referenced in the source code. This file requires the use of the URL |
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3 | % package. Several non-standard fields are used to include digital |
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4 | % object identifiers and e-print references. At present these are not |
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5 | % supported by standard BiBTeX, but can be with a suitable choice of .bst |
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6 | % file. |
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7 | |
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8 | % Compiled by Steve Sangwine |
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9 | % June 2006 |
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10 | |
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11 | @STRING{SJS = {S. J. Sangwine}} |
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12 | @STRING{NLB = {N. {Le Bihan}}} |
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13 | @STRING{SS = {Salem Said}} |
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14 | @STRING{AND = { and }} |
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15 | |
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16 | @MISC{qtfm, |
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17 | AUTHOR = SJS # AND # NLB, |
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18 | TITLE = {Quaternion {T}oolbox for {M}atlab\textregistered}, |
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19 | YEAR = 2005, |
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20 | HOWPUBLISHED = {[Online]}, |
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21 | NOTE = {Software library available at: \url{http://qtfm.sourceforge.net/}} |
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22 | } |
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23 | |
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24 | @ARTICLE{10.1016/j.amc.2006.04.032, |
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25 | AUTHOR = SJS # AND # NLB, |
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26 | TITLE = {Quaternion Singular Value Decomposition based on Bidiagonalization |
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27 | to a Real or Complex Matrix using Quaternion Householder Transformations}, |
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28 | YEAR = {2006}, |
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29 | JOURNAL = {Applied Mathematics and Computation}, |
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30 | VOLUME = {182}, |
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31 | NUMBER = {1}, |
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32 | MONTH = {1 November}, |
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33 | PAGES = {727--738}, |
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34 | DOI = {10.1016/j.amc.2006.04.032} |
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35 | } |
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36 | |
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37 | @MISC{arXiv:math.NA/0603251, |
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38 | AUTHOR = SJS # AND # NLB, |
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39 | TITLE = {Quaternion Singular Value Decomposition based on Bidiagonalization to a Real |
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40 | Matrix using Quaternion {H}ouseholder Transformations}, |
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41 | MONTH = mar, |
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42 | YEAR = 2006, |
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43 | EPRINT = {arXiv:math.NA/0603251}, |
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44 | URL = {http://arxiv.org/openurl-resolver?rft_id=ori%3Aoai%3AarXiv.org%3Amath.NA%2F0603251&url_ver=Z39.88-2003}} |
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45 | } |
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46 | |
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47 | @ARTICLE{10.1016/j.amc.2006.09.055, |
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48 | AUTHOR = NLB # AND # SJS, |
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49 | TITLE = {Jacobi Method for Quaternion Matrix Singular Value Decomposition}, |
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50 | YEAR = {2006}, |
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51 | JOURNAL = {Applied Mathematics and Computation}, |
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52 | VOLUME = {}, |
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53 | NUMBER = {}, |
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54 | MONTH = {}, |
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55 | PAGES = {}, |
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56 | NOTE = {Available online 20 October.}, |
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57 | DOI = {10.1016/j.amc.2006.09.055} |
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58 | } |
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59 | |
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60 | @ARTICLE{10.1007/s00006-006-0005-8, |
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61 | AUTHOR = SJS, |
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62 | TITLE = {Biquaternion (Complexified Quaternion) Roots of -1}, |
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63 | JOURNAL = {Advances in Applied Clifford Algebras}, |
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64 | YEAR = {2006}, |
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65 | MONTH = feb, |
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66 | VOLUME = 16, |
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67 | NUMBER = 1, |
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68 | PAGES = {63--68}, |
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69 | DOI = {10.1007/s00006-006-0005-8}, |
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70 | NOTE = {Publisher: Birkhäuser Basel}, |
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71 | ISSN = {0188-7009 (Paper) 1661-4909 (Online)} |
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72 | } |
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73 | |
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74 | @MISC{arXiv:math.RA/0506190, |
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75 | AUTHOR = SJS, |
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76 | TITLE = {Biquaternion (complexified quaternion) roots of -1}, |
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77 | MONTH = jun, |
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78 | YEAR = 2005, |
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79 | EPRINT = {arXiv:math.RA/0506190}, |
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80 | URL = {http://arxiv.org/openurl-resolver?rft_id=ori%3Aoai%3AarXiv.org%3Amath.RA%2F0506190&url_ver=Z39.88-2003} |
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81 | } |
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82 | |
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83 | @MISC{arXiv:math.NA/0603578, |
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84 | AUTHOR = SS # AND # NLB # AND # SJS, |
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85 | TITLE = {Fast complexified quaternion {F}ourier transform}, |
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86 | MONTH = mar, |
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87 | YEAR = 2006, |
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88 | EPRINT = {arXiv:math.NA/0603578}, |
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89 | URL = {http://arxiv.org/openurl-resolver?rft_id=ori%3Aoai%3AarXiv.org%3Amath.NA%2F0603578&url_ver=Z39.88-2003}} |
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90 | } |
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