trig.gms

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trig.gms : Simple Trigonometric Example

Simple trigonometric problem from the LGO library

  Solution: x* ~ 2.66695657     f(x*) ~ -3.76250149

Reference:

Pinter, J D, LGO - A Model Development System for Continuous Global Optimization. User's Guide. (Revised edition). Pinter Consulting Services, Halifax, NS Canada, 2003.

Small Model of Type: NLP

$title Simple Trigonometric Example (TRIG,SEQ=261) * Simple trigonometric problem from the LGO library * * Solution: x* ~ 2.66695657 f(x*) ~ -3.76250149 * * * Janos Pinter, LGO - Users Guide, Pinter Consulting Services, Halifax, * Canada, 2003. variables x1, obj; equations objdef, ineq1; model m /all /; objdef.. obj =e= SIN(11*x1) + COS(13*x1) - SIN(17*x1) - COS(19*x1); ineq1.. -x1 + 5* SIN(x1) =l= 0; x1.lo=-2; x1.up=5; x1.l=1; solve m us nlp min obj; scalar xdiff,fdiff; xdiff = 2.66695657 - x1.l; fdiff = -3.76250149 - obj.l; display xdiff,fdiff;