A note on detecting simple redundancies in linear systems

  • Authors:
  • R. E. Bixby;D. K. Wagner

  • Affiliations:
  • Department of Mathematical Sciences, Rice University, Houston, TX 77251, USA;School of Industrial Engineering, Purdue University, West Lafayette, IN 47907, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 1987

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Abstract

Two efficient algorithms are presented that, for a given linear system Ax = b, eliminate equations that are non-zero multiples of other equations. The second algorithm runs in linear time when the entries of A are +1, -1 or 0.