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A different convergence proof of the projective method for linear programming. (English) Zbl 0617.90059

We give a different proof of convergence of the polynomial-time algorithm for linear programming based on projective transformations.

MSC:

90C05 Linear programming
65K05 Numerical mathematical programming methods
68Q25 Analysis of algorithms and problem complexity
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References:

[1] Courant, R.; Robbins, H., What Is mathematics?, (1941), Oxford University Press New York, (paperback, 1978) · JFM 67.0001.05
[2] Karmarkar, N., A new polynomial-time algorithm for linear programming, Combinatorica, 4, 373-395, (1984) · Zbl 0557.90065
[3] Padberg, M., Solution of a nonlinear programming problem arising in the projective method, (1985), New York University, Preprint
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