Improved Full-Newton Step O(nL) Infeasible Interior-Point Method for Linear Optimization-Reference-Cited by-同舟云学术

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Improved Full-Newton Step O(nL) Infeasible Interior-Point Method for Linear Optimization

Published:2009-11-04 Issue:2 Volume:145 Page:271-288
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Gu G.,Mansouri H.,Zangiabadi M.,Bai Y. Q.,Roos C.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

http://link.springer.com/content/pdf/10.1007/s10957-009-9634-0.pdf

Reference12 articles.

1. Roos, C.: A full-Newton step O(n) infeasible interior-point algorithm for linear optimization. SIAM J. Optim. 16(4), 1110–1136 (2006) (electronic)

2. Ji, J., Potra, F.A., Sheng, R.: A predictor-corrector method for solving the P*(κ)-matrix LCP from infeasible starting points. Optim. Methods Softw. 6(2), 109–126 (1996)

3. Kojima, M., Megiddo, N., Mizuno, S.: A primal-dual infeasible-interior-point algorithm for linear programming. Math. Program. Ser. A 61(3), 263–280 (1993)

4. Lustig, I.J.: Feasibility issues in a primal-dual interior-point method for linear programming. Math. Program. Ser. A 49(2), 145–162 (1990/91)

5. Mizuno, S.: Polynomiality of infeasible-interior-point algorithms for linear programming. Math. Program. Ser. A 67(1), 109–119 (1994)

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