Karmarkar's linear programming algorithm and Newton's method-Reference-Cited by-同舟云学术

Karmarkar's linear programming algorithm and Newton's method

Published:1991-03 Issue:1-3 Volume:50 Page:291-330
ISSN:0025-5610
Container-title:Mathematical Programming
language:en
Short-container-title:Mathematical Programming

Author:

Bayer D. A.,Lagarias J. C.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Software

Link

http://link.springer.com/content/pdf/10.1007/BF01594941.pdf

Reference25 articles.

1. K. Anstreicher, “A monotonic projective algorithm for fractional linear programming,”Algorithmica 1 (1986) 483–498.

2. E. Barnes, “A variation on Karmarkar's algorithm for solving linear programming problems,”Mathematical Programming 36 (1986) 174–182.

3. D. Bayer and J.C. Lagarias, “The nonlinear geometry of linear programming I. Affine and projective scaling trajectories,”Transactions of the American Mathematical Society 314 (1989) 499–526.

4. D. Bayer and J.C. Lagarias, “The nonlinear geometry of linear programming II. Legendre transform coordinates and central trajectories,”Transactions of the American Mathematical Society 314 (1989) 527–581.

5. B. Bernstein, R.A. Toupin, “Some properties of the Hessian of a strictly convex function,”Journal für die reine und Angewandte Mathematik 210 (1962) 65–72.

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