Why direct LDA is not equivalent to LDA

Hui Gao, James W. Davis. Why direct LDA is not equivalent to LDA. Pattern Recognition, 39(5):1002-1006, 2006. [doi]

@article{GaoD06,
  title = {Why direct LDA is not equivalent to LDA},
  author = {Hui Gao and James W. Davis},
  year = {2006},
  doi = {10.1016/j.patcog.2005.11.016},
  url = {http://dx.doi.org/10.1016/j.patcog.2005.11.016},
  researchr = {https://researchr.org/publication/GaoD06},
  cites = {0},
  citedby = {0},
  journal = {Pattern Recognition},
  volume = {39},
  number = {5},
  pages = {1002-1006},
}