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Affine-scaling for linear programs with free variables. (English) Zbl 0825.90681

MSC:
90C05 Linear programming
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References:
[1] I. Adler, A. Karmarkar, M.G.C. Resende and G. Veiga, ”An implementation of Karmarkar’s algorithm for linear programming,” to appear inMathematical Programming. · Zbl 0682.90061
[2] E.R. Barnes, ”A variation on Karmarkar’s algorithm for solving linear programming problems,”Mathematical Programming 36 (1986) 174–182. · Zbl 0626.90052
[3] D.A. Bayer and J. Lagarias, ”Nonlinear geometry of linear programming: Parts I and II,” to appear inTransactions of the AMS. · Zbl 0671.90046
[4] T.M. Cavalier and K.C. Schall, ”Implementing a projective algorithm for solving inequalityconstrained linear programs,” IMSE Working Paper 86–128, The Pennsylvania State University (1986).
[5] V. Chandru and B.S. Kochar, ”A class of algorithms for linear programming,” Research Memorandum No. 85–14, Purdue University (1985).
[6] V. Chandru and B.S. Kochar, ”Exploring special structures using a variant of Karmarkar’s algorithm,” Research Memorandum No. 86–10, Purdue University (1986).
[7] R.J. Vanderbei, M.S. Meketon and B.A. Freedman, ”A modification of Karmarkar’s linear programming algorithm,”Algorithmica 1 (1986) 395–407. · Zbl 0626.90056
[8] R.J. Vanderbei, ”The affine-scaling algorithm and primal degeneracy,” talk presented at the Conference on Advances in Mathematical Programming held in Monterey, CA, March 2–5, 1987.
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