Fraction-free matrix factors: new forms for LU and QR factors

@article{Zhou2008FractionfreeMF,
  title={Fraction-free matrix factors: new forms for LU and QR factors},
  author={Wenqin Zhou and David J. Jeffrey},
  journal={Frontiers of Computer Science in China},
  year={2008},
  volume={2},
  pages={67-80}
}
  • Wenqin Zhou, D. Jeffrey
  • Published 5 March 2008
  • Computer Science, Mathematics
  • Frontiers of Computer Science in China
Gaussian elimination and LU factoring have been greatly studied from the algorithmic point of view, but much less from the point view of the best output format. In this paper, we give new output formats for fraction free LU factoring and for QR factoring. The formats and the algorithms used to obtain them are valid for any matrix system in which the entries are taken from an integral domain, not just for integer matrix systems. After discussing the new output format of LU factoring, the… 
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