A Primal-Dual Interior Point Algorithm for Linear Programming

Author:

Kojima Masakazu,Mizuno Shinji,Yoshise Akiko

Publisher

Springer New York

Reference22 articles.

1. I. Adler, N. Karmarkar, M. G. C. Resende, and G. Veiga, An implementation of Karmarkar’s algorithm for linear programming, Working Paper, Operations Research Center, University of California, Berkeley (May 1986).

2. K. R. Frish, The logarithmic potential method of convex programming, unpublished manuscript, University Institute of Economics, Oslo, Norway (1955).

3. D. M. Gay, A variant of Karmarkar’s linear programming algorithm for problems in standard form, Math. Programming 37 (1987), 81–90.

4. P. E. Gill, W. Murray, M. A. Saunders, J. A. Tomlin, and M. H. Wright, On projected Newton barrier methods for linear programming and an equivalence to Karmarkar’s projective method, Math. Programming 36 (1986), 183–209.

5. C. C. Gonzaga, An algorithm for solving linear programming problems in O(n 3 L) operations, in Progress in Mathematical Programming, N. Megiddo, (ed.), Springer-Verlag, New York, this volume.

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