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Nonlinear Systems of Equations

  • Christodoulos A. Floudas
  • Pãnos M. Pardalos
  • Claire S. Adjiman
  • William R. Esposito
  • Zeynep H. Gümüş
  • Stephen T. Harding
  • John L. Klepeis
  • Clifford A. Meyer
  • Carl A. Schweiger
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 33)

Abstract

The solution of nonlinear systems of equations is an important problem in engineering. Applications include identifying the multiple steady states of a reactor network (Folger, 1986; Schlosser and Feinberg, 1994), predicting the azeotropes formed in a nonideal mixture (Fidkowski et al., 1993; Maranas et al., 1996), finding the steady-states of a flowsheet or part of a flowsheet (Zhang, 1987; Bullard and Biegler, 1991; Wilhelm and Swaney, 1994; Bekiaris et al., 1993), identifying equilibrium points in multiphase systems (Heidemann and Mandhane, 1973; Seader et al., 1990) .

Keywords

Test Problem Methyl Ethyl Ketone Valid Solution Binary Interaction Parameter Homotopy Continuation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • Christodoulos A. Floudas
    • 1
  • Pãnos M. Pardalos
    • 2
  • Claire S. Adjiman
    • 1
  • William R. Esposito
    • 1
  • Zeynep H. Gümüş
    • 1
  • Stephen T. Harding
    • 1
  • John L. Klepeis
    • 1
  • Clifford A. Meyer
    • 1
  • Carl A. Schweiger
    • 1
  1. 1.Department of Chemical EngineeringPrinceton UniversityPrincetonUSA
  2. 2.Department of Industrial and Systems EngineeringUniversity of FloridaUSA

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