Hi all,

I use CONOPT to solve a model to initial equilibrium by pinning all variables to their initial equalibrium values. The returned solution is as follows:

S O L V E S U M M A R Y

MODEL FDIHE OBJECTIVE GDP

TYPE NLP DIRECTION MAXIMIZE

SOLVER CONOPT FROM LINE 1751

**** SOLVER STATUS 1 Normal Completion

**** MODEL STATUS 4 Infeasible

**** OBJECTIVE VALUE 0.0000

RESOURCE USAGE, LIMIT 0.031 1000.000

ITERATION COUNT, LIMIT 0 2000000000

EVALUATION ERRORS 0 0

CONOPT 3 24.2.1 r43572 Released Dec 9, 2013 LEG x86_64/Linux

C O N O P T 3 version 3.15M

Copyright (C) ARKI Consulting and Development A/S

Bagsvaerdvej 246 A

DK-2880 Bagsvaerd, Denmark

** Warning ** The variance of the derivatives in the initial

point is large (= 8.1 ). A better initial

point, a better scaling, or better bounds on the

variables will probably help the optimization.

** An equation is inconsistent with other equations in the

pre-triangular part of the model.

Residual= 8.24578221E-02

Tolerance (Rtnwtr)= 2.00000000E-08

The solution order of the critical pretriangular equations is:

Equation INVSAVEQ(ROW) solved with respect to the slack

After the last operation the residual is still -0.0824578221327101

CONOPT time Total 0.034 seconds

of which: Function evaluations 0.009 = 26.5%

1st Derivative evaluations 0.010 = 29.4%

**** ERRORS/WARNINGS IN EQUATION INVSAVEQ(ROW)

1 error(s): Inconsistency in pre-triangular part of model.

I have checked the correctness of equation INVSAVEQ(ROW). The right hand of the equation=2650393.843 and the left hand of the equation=2650393.926. The difference is -0.0824578221327101, as the residual returned by the solution. Is this difference causing the inconsistency in the system? Is this related to the Tolerance (Rtnwtr)= 2.00000000E-08? (I tried to increase the tolerance, but failed.)

Any suggestions are appreciated.

## Best,

Qiaomin

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