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