Nonlinear Systems of Equations

The solution of nonlinear systems of equations is an important problem in engineering. Applications include identifying the multiple steady states of a reactor network, predicting the azeotropes formed in a nonideal mixture, finding the steady-states of a flowsheet, and identifying equilibrium points in multiphase systems.

Section 1: Literature Problems

Test Problem	Description	Gams File
1	Himmelblau function	ex14.1.1.gms
2	Equilibrium Combustion	ex14.1.2.gms
3	Bullard-Biegler (1991)	ex14.1.3.gms
4	Ferraris-Tronconi (1986)	ex14.1.4.gms
5	Brown's almost linear system	ex14.1.5.gms
6	Robot kinematics problem	ex14.1.6.gms
7	Circuit design problem	ex14.1.7.gms
8	Steady state of a series of CSTRs with recycle	ex14.1.8.gms
9	Steady state temperatures of a nonisothermal CSTR	ex14.1.9.gms

Section 2: Locating All Homogeneous Azeotropes

Test Problem	Description	Gams File
1	Wilson equation - 3 component	ex14.2.1.gms
2	Wilson equation - 4 component	ex14.2.2.gms
3	Wilson equation - 5 component	ex14.2.3.gms
4	NRTL equation - 3 component	ex14.2.4.gms
5	NRTL equation - 4 component	ex14.2.5.gms
6	UNIQUAC equation - 3 component	ex14.2.6.gms
7	UNIQUAC equation - 4 component	ex14.2.7.gms
8	UNIFAC equation - 3 component	ex14.2.8.gms
9	UNIFAC equation - 4 component	ex14.2.9.gms

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