% BibTeX bibliography file for the QTFM toolbox and papers or articles
% referenced in the source code. This file requires the use of the URL
% package. Several non-standard fields are used to include digital
% object identifiers and e-print references. At present these are not
% supported by standard BiBTeX, but can be with a suitable choice of .bst
% file.

% Compiled by Steve Sangwine
%             June 2006

@STRING{SJS = {S. J. Sangwine}}
@STRING{NLB = {N. {Le Bihan}}}
@STRING{SS  = {Salem Said}}
@STRING{AND = { and }}

@MISC{qtfm,
  AUTHOR = SJS # AND # NLB,
  TITLE = {Quaternion {T}oolbox for {M}atlab\textregistered},
  YEAR  = 2005,
  HOWPUBLISHED = {[Online]},
  NOTE = {Software library available at: \url{http://qtfm.sourceforge.net/}}
}

@ARTICLE{10.1016/j.amc.2006.04.032,
  AUTHOR  = SJS # AND # NLB,
  TITLE   = {Quaternion Singular Value Decomposition based on Bidiagonalization
             to a Real or Complex Matrix using Quaternion Householder Transformations},
  YEAR    = {2006},
  JOURNAL = {Applied Mathematics and Computation},
    VOLUME = {182},
    NUMBER = {1},
    MONTH  = {1 November},
    PAGES  = {727--738},
    DOI = {10.1016/j.amc.2006.04.032}
}

@MISC{arXiv:math.NA/0603251,
  AUTHOR  = SJS # AND # NLB,
  TITLE   = {Quaternion Singular Value Decomposition based on Bidiagonalization to a Real
             Matrix using Quaternion {H}ouseholder Transformations},
  MONTH   = mar,
  YEAR    = 2006,
  EPRINT  = {arXiv:math.NA/0603251},
  URL     = {http://arxiv.org/openurl-resolver?rft_id=ori%3Aoai%3AarXiv.org%3Amath.NA%2F0603251&url_ver=Z39.88-2003}}
}

@ARTICLE{10.1016/j.amc.2006.09.055,
  AUTHOR  = NLB # AND # SJS,
  TITLE   = {Jacobi Method for Quaternion Matrix Singular Value Decomposition},
  YEAR    = {2006},
  JOURNAL = {Applied Mathematics and Computation},
    VOLUME = {},
    NUMBER = {},
    MONTH  = {},
    PAGES  = {},   
    NOTE = {Available online 20 October.},
    DOI = {10.1016/j.amc.2006.09.055}
}

@ARTICLE{10.1007/s00006-006-0005-8,
  AUTHOR  = SJS,
  TITLE   = {Biquaternion (Complexified Quaternion) Roots of -1},
  JOURNAL = {Advances in Applied Clifford Algebras},
  YEAR    = {2006},
  MONTH   = feb,
  VOLUME  = 16,
  NUMBER  = 1,
  PAGES   = {63--68},
  DOI     = {10.1007/s00006-006-0005-8},
  NOTE    = {Publisher: Birkhäuser Basel},
  ISSN    = {0188-7009 (Paper) 1661-4909 (Online)}
}

@MISC{arXiv:math.RA/0506190,
  AUTHOR  = SJS,
  TITLE   = {Biquaternion (complexified quaternion) roots of -1},
  MONTH   = jun,
  YEAR    = 2005,
  EPRINT  = {arXiv:math.RA/0506190},
  URL     = {http://arxiv.org/openurl-resolver?rft_id=ori%3Aoai%3AarXiv.org%3Amath.RA%2F0506190&url_ver=Z39.88-2003}
}

@MISC{arXiv:math.NA/0603578,
  AUTHOR  = SS # AND # NLB # AND # SJS,
  TITLE   = {Fast complexified quaternion {F}ourier transform},
  MONTH   = mar,
  YEAR    = 2006,
  EPRINT  = {arXiv:math.NA/0603578},
  URL     = {http://arxiv.org/openurl-resolver?rft_id=ori%3Aoai%3AarXiv.org%3Amath.NA%2F0603578&url_ver=Z39.88-2003}}
}