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An interior point method, based on rank-one updates, for linear programming

Author

Listed:
  • Sturm, J.F.
  • Zhang, S.

Abstract

We propose a polynomial time primal-dual potential reduction algorithm for linear programming. Unlike any other interior point method, the new algorithm is based on a rank-one updating scheme for sequentially computing the projection matrices. For a standard linear programming problem, the number of operations required is [TeX: ${\\cal O}(mn)$] per main iteration and the overall computational complexity is [TeX: ${\\cal O}(mn^{2.5}L)$].

Suggested Citation

  • Sturm, J.F. & Zhang, S., 1995. "An interior point method, based on rank-one updates, for linear programming," Econometric Institute Research Papers EI 9546-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  • Handle: RePEc:ems:eureir:1360
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