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Encyclopedia of Optimization pp 1364–1366Cite as

Global Optimization Methods for Systems of Nonlinear Equations

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References

  1. Allgower EL, Georg K (1980) Simplicial and continuation methods for approximating fixed points and solutions to system of equations. SIAM Rev 22:28–85

    Article  MathSciNet  MATH  Google Scholar 

  2. Dennis JE, Schnabel RB (1983) Numerical methods for nonlinear equations and unconstrained optimization. Prentice-Hall, Englewood Cliffs, NJ

    MATH  Google Scholar 

  3. Forster W (1992) Some computational methods for systems of nonlinear equations and systems of polynomial equations. J Global Optim 2:317–356

    Article  MathSciNet  MATH  Google Scholar 

  4. Gabriel A, Pang J-S (1994) A trust region method for constrained nonsmooth equations. In: Hage WW, Hearn DW, Pardalos PM (eds) Large Scale Optimization: State of the Art. Kluwer, Dordrecht

    Google Scholar 

  5. Goffin J-L, Luo Z-Q, Ye Y (1994) On the complexity of a column generation algorithm for convex or quasiconvex feasibility problems. In: Hage WW, Hearn DW, Pardalos PM (eds) Large Scale Optimization: State of the Art. Kluwer, Dordrecht

    Google Scholar 

  6. Hansen P, Jaumard B (1995) Lipschitz optimization. In: Horst R, Pardalos PM (eds) Handbook of Global Optimization. Kluwer, Dordrecht

    Google Scholar 

  7. Hendrix EMT, Pinter J (1991) An application of Lipschitzian global optimization to product design. J Global Optim 1:389–401

    Article  MathSciNet  MATH  Google Scholar 

  8. Horst R, Nast M, Thoai NV (1997) New LP-bound in multivariate Lipschitz optimization: Theory and applications. J Optim Th Appl 86:369–388

    Article  MathSciNet  Google Scholar 

  9. Horst R, Pardalos PM, Thoai NV (1995) Introduction to global optimization. Kluwer, Dordrecht

    MATH  Google Scholar 

  10. Horst R, Thoai NV (1989) Branch and bound methods for solving systems of Lipschitzian equations and inequalities. J Optim Th Appl 58:139–145

    Article  MathSciNet  Google Scholar 

  11. Horst R, Thoai NV (1999) DC programming: Overview. J Optim Th Appl 103:1–43

    Article  MathSciNet  Google Scholar 

  12. Horst R, Tuy H (1993) Global optimization: Deterministic approaches, 2nd edn. Springer, Berlin

    Google Scholar 

  13. Maranas CD, Floudas CA (1995) Finding all solutions of nonlinearly constrained systems of equations. J Global Optim 7:143–182

    Article  MathSciNet  MATH  Google Scholar 

  14. Nesterov Y, Nemirovskii A (1994) Interior-point polynomial algorithms in convex programming. SIAM, Philadelphia

    MATH  Google Scholar 

  15. Pang J-S, Qi L (1993) Nonsmooth equations: Motivation and algorithms. SIAM J Optim 3:443–465

    Article  MathSciNet  MATH  Google Scholar 

  16. Pinter J (1991) Solving nonlinear equation systems via global partition and search. Computing 43:309–323

    Article  MathSciNet  Google Scholar 

  17. Strongin RG (1992) Algorithms for multi-extremal mathematical programming problems employing the set of joint space-filling curves. J Global Optim 2:357–378

    Article  MathSciNet  MATH  Google Scholar 

  18. Thoai NV (1994) Employment of conical algorithm and outer approximation method in D.C. programming. J Math 22:71–85

    MATH  Google Scholar 

  19. Tuy H (1995) D.C. optimization: Theory, methods and algorithms. In: Horst R, Pardalos PM (eds) Handbook Global Optim. Kluwer, Dordrecht, pp 149–216

    Google Scholar 

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Author information

Authors and Affiliations

  1. University Trier, Trier, Germany

    Nguyen v. Thoai

Authors
  1. Nguyen v. Thoai
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Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

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© 2008 Springer-Verlag

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Thoai, N.v. (2008). Global Optimization Methods for Systems of Nonlinear Equations . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_241

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