@inproceedings{AlMuhtasebAdmGhanietal.,
  author    = {Al Muhtaseb, Khawla and Adm, Mohammad and Ghani, Ayed Abedel and Garloff, J{\"u}rgen},
  title     = {Recent applications of the Cauchon algorithm to intervals of totally nonnegative matrices},
  series = {Sixth Palestinian Conference on Modern Trends in Mathematics and Physics (PCMTMP-VI), 5. - 8. August 2018, Palestine Technical University Kadoorei, Pal{\"a}stina},
  language  = {en}
}
@inproceedings{GhaniAdmAlMuhtasebetal.,
  author    = {Ghani, Ayed Abedel and Adm, Mohammad and Al Muhtaseb, Khawla and Fallat, Shaun M. and Garloff, J{\"u}rgen},
  title     = {A novel method for determining the rank of a matrix},
  series = {Sixth Palestinian Conference on Modern Trends in Mathematics and Physics (PCMTMP-VI), 5. - 8. August 2018, Palestine Technical University Kadoorei, Pal{\"a}stina},
  pages     = {1},
  language  = {en}
}
@article{AdmAlMuhtasebGhanietal.,
  author    = {Adm, Mohammad and Al Muhtaseb, Khawla and Ghani, Ayed Abedel and Fallat, Shaun M. and Garloff, J{\"u}rgen},
  title     = {Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization},
  series = {Linear Algebra and its Applications},
  volume    = {545},
  issn      = {0024-3795},
  doi       = {10.1016/j.laa.2018.01.035},
  url       = {http://nbn-resolving.de/urn:nbn:de:bsz:kon4-opus4-14604},
  pages     = {240 -- 255},
  abstract  = {For a class of matrices connected with Cauchon diagrams, Cauchon matrices, and the Cauchon algorithm, a method for determining the rank, and for checking a set of consecutive row (or column) vectors for linear independence is presented. Cauchon diagrams are also linked to the elementary bidiagonal factorization of a matrix and to certain types of rank conditions associated with submatrices called descending rank conditions.},
  language  = {en}
}
@inproceedings{GarloffAdmAlMuhtasebetal.,
  author    = {Garloff, J{\"u}rgen and Adm, Mohammad and Al Muhtaseb, Khawla and Ghani, Ayed Abedel},
  title     = {Relaxing the nonsingularity assumption for intervals of totally nonnegative matrices},
  series = {MAT TRIAD 2019 Book of Abtracts, International Conference on Matrix Analysis and its Applications, September 8-13, Liblice, Czech Republic (IUUK-CE-ITI series 2019)},
  pages     = {23 -- 23},
  language  = {en}
}
@article{AdmAlMuhtasebGhanietal.,
  author    = {Adm, Mohammad and Al Muhtaseb, Khawla and Ghani, Ayed Abedel and Garloff, J{\"u}rgen},
  title     = {Relaxing the nonsingularity assumption for intervals of totally nonnegative matrices},
  series = {Electronic Journal of Linear Algebra (ELA)},
  volume    = {Vol. 36},
  issn      = {1081-3810},
  doi       = {10.13001/ela.2020.5015},
  pages     = {106 -- 123},
  abstract  = {Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the checkerboard partial order are considered. It is proven that if the two bound matrices of such a matrix interval are totally nonnegative and satisfy certain conditions, then all matrices from this interval are also totally nonnegative and satisfy the same conditions.},
  language  = {en}
}