A new condition number for linear programming

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

  • Dennis Cheung
  • Felipe Cucker

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)163-174
Journal / PublicationMathematical Programming, Series B
Volume91
Issue number1
Publication statusPublished - Oct 2001

Abstract

In this paper we define a new condition number script C sign(A) for the following problem: given a in by n matrix A, find x ∈ ℝn,s.t. Ax <0. We characterize this condition number in terms of distance to ill-posedness and we compare it with existing condition numbers for the same problem.

Citation Format(s)

A new condition number for linear programming. / Cheung, Dennis; Cucker, Felipe.
In: Mathematical Programming, Series B, Vol. 91, No. 1, 10.2001, p. 163-174.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review