Abstract
A specialization of the projective method for linear programming to problems with lower and upper bounds on the variables is proposed.
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K. M. Anstreicher, Analysis of a modified Karmarkar algorithm for linear programming, Preprint, Yale School of Organization and Management, 1985.
N. Karmarkar, A new polynomial-time algorithm for linear programming,Combinatorica,4 (1984), 373–395.
M. Padberg, A different convergence proof of the projective method for linear programming,Oper. Res. Lett.,6 (1986), 253–257.
M. Padberg, Solution of a nonlinear programming problem arising in the projective method, Preprint, New York University, March 1985 (to appear inSIAM J. Control Optim.).
M. J. Todd and B. P. Burrel, An extension of Karmarkar's algorithm for linear programming using dual variables, Technical Report No. 648, School of Operations Research and Industrial Engineering, College of Engineering, Cornell University, 1985.
J. A. Tomlin, An experimental approach to Karmarkar's projective method for linear programming, Preprint, Ketron Inc., 1985.
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Communicated by Nimrod Megiddo.
This work was done while the author was visiting New York University.
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Rinaldi, G. A projective method for linear programming with box-type constraints. Algorithmica 1, 517–527 (1986). https://doi.org/10.1007/BF01840460
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DOI: https://doi.org/10.1007/BF01840460