A polynomial-time algorithm, based on Newton's method, for linear programming

Author:

Renegar James

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Software

Reference16 articles.

1. A. Aho, J. Hopcroft and J. Ullman,The Design and Analysis of Computer Algorithms (Addison-Wesley, Reading, MA, 1974).

2. D.A. Bayer and J.C. Lagarias, “The non-linear geometry of linear programming, I. Affine and projective scaling trajectories, II. Legendre transform coordinates, III. Central trajectories,” preprints, AT&T Bell Laboratories (Murray Hill, NJ, 1986).

3. L. Blum, talk at Workshop on Problems Relating Numerical Analysis to Computer Science, Mathematical Sciences Research Institute, Berkeley, California (January 1986).

4. L. Blum, “Towards an asymptotic analysis of Karmarkar's algorithm,”Information Processing Letters 23 (1986) 189–194.

5. P. Huard, “Resolution of mathematical programming with non-linear constraints by the method of centers,” in: J. Abadie, ed.,Non-Linear Programming (North-Holland, Amsterdam, 1967) pp. 207–219.

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