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Methods of centers in nonlinear programming

  • Nonlinear Optimization
  • Conference paper
  • First Online:
System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 143))

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References

  1. D.D. Morrison, Optimization by least squares, SIAM J. Numer. Analysis, 5 (1968), 83–88.

    Google Scholar 

  2. Yu.P. Ivanilov, Two algorithms for solving a convex programming problem, In: Theory of Optimal Decisions 4, Kiev, Cybernetics Institute of the UkrSSR Academy of Sciences, 1969, 13–21 (in Russian).

    Google Scholar 

  3. J. Kowalik, M.R. Osborn and D.M. Ryan, A new method for constrained optimization problems, Operat. Res., 17 (1969) 6, 973–989.

    Google Scholar 

  4. K. Grossman and A.A. Kaplan, Non-linear programming on the basis of unconstrained minimization, Nayka, Novosibirsk 1982 (in Russian).

    Google Scholar 

  5. P. Huard, A method of centres by upper-bounding functions with applications, In: Non-linear programming, Academic Press New York, 1970, pp. 1–30.

    Google Scholar 

  6. V.G. Zhadan, A method for parametric representation of objective functions in conditional multicriterial optimization. U.S.S.R. Comput. Maths. Math. Phys., 26 (1986), 108–115.

    Google Scholar 

  7. Yu.G. Evtushenko and V.G. Zhadan, Exact auxiliary functions in optimization problems, Journal of Comput. Maths. and Math. Phys. 30 (1990), 43–57 (in Russian).

    Google Scholar 

  8. Yu.G. Evtushenko and V.G. Zhadan, Systematization of nonlinear programming methods. Sequential unconstrained minimization techniques, Reports on Appl. Math., Computing Center of the USSR Academy of Sciences, 1988 (in Russian).

    Google Scholar 

  9. M. Iri and H. Imai, A Multiplicative Barrier Function Method for Linear Programming, Algorithmica, 1 (1986), 455–482.

    Google Scholar 

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Authors and Affiliations

  1. Computing Center of the USSR Academy of Sciences, 40, Vaviliva str., 117967, Moscow, USSR

    Vitali G. Zhadan

Authors
  1. Vitali G. Zhadan
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H. -J. Sebastian K. Tammer

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© 1990 International Federation for Information Processing

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Zhadan, V.G. (1990). Methods of centers in nonlinear programming. In: Sebastian, H.J., Tammer, K. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0008375

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  • DOI: https://doi.org/10.1007/BFb0008375

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52659-9

  • Online ISBN: 978-3-540-47095-3

  • eBook Packages: Springer Book Archive

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