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Linear Programming: Karmarkar Projective Algorithm

Karmarkar Algorithm

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Book cover Encyclopedia of Optimization
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References

  1. Anstreicher KM (1986) A monotonic projective algorithm for fractional linear programming. Algorithmica 1:483–498

    Article  MathSciNet  MATH  Google Scholar 

  2. Anstreicher KM (1996) Potential reduction algorithms. In: Terlaky T (ed) Interior point methods of mathematical programming. Kluwer, Dordrecht, pp 125–158

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  3. de Ghellinck G, Vial J-Ph (1986) A polynomial Newton method for linear programming. Algorithmica 1:425–453

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  4. Gay DM (1987) A variant of Karmarkar's linear programming algorithm for problems in standard form. Math Program 37:81–90

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  5. Gonzaga CC (1989) Conical projection algorithms for linear programming. Math Program 43:151–173

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  6. Karmarkar N (1984) A new polynomial-time algorithm for linear programming. Combinatorica 4:373–395

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  7. Todd MJ (1997) Potential-reduction methods in mathematical programming. Math Program 76:3–45

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  8. Ye Y (1991) An O(n3L) potential reduction algorithm for linear programming. Math Program 50:239–258

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  9. Ye Y, Kojima M (1987) Recovering optimal dual solutions in Karmarkar's polynomial algorithm for linear programming. Math Program 39:305–317

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© 2008 Springer-Verlag

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Anstreicher, K.M. (2008). Linear Programming: Karmarkar Projective Algorithm . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_338

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