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S316-322.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME S316-322
* Problem :
* *********
* Source: problems 316 to 322 in
* K. Schittkowski,
* " More Test Problems for Nonlinear Programming Codes",
* Springer Verlag, Berlin, 1987.
* SIF input: Ph. Toint, April 1991.
* classification QQR2-AN-2-1
* Denominator of x2**2 in the equality constraint.
RE DEN 100.0 $ problem 316
*RE DEN 64.0 $ problem 317
*RE DEN 36.0 $ problem 318
*RE DEN 16.0 $ problem 319
*RE DEN 4.0 $ problem 320
*RE DEN 1.0 $ problem 321
*RE DEN 0.01 $ problem 322
VARIABLES
X1
X2
GROUPS
N OBJ1 X1 1.0
N OBJ2 X2 1.0
E CON
CONSTANTS
X S316-322 OBJ1 20.0
X S316-322 OBJ2 -20.0
X S316-322 CON 1.0
BOUNDS
FR S316-322 'DEFAULT'
ELEMENT TYPE
EV SQ X
ELEMENT USES
T X1SQ SQ
ZV X1SQ X X1
T X2SQ SQ
ZV X2SQ X X2
GROUP TYPE
GV L2 GVAR
GROUP USES
T OBJ1 L2
T OBJ2 L2
E CON X1SQ 0.01
RD SCAL DEN 1.0
ZE CON X2SQ SCAL
OBJECT BOUND
* Solution
*LO SOLTN 334.315 $ problem 316
*LO SOLTN 372.467 $ problem 317
*LO SOLTN 412.750 $ problem 318
*LO SOLTN 452.404 $ problem 319
*LO SOLTN 485.531 $ problem 320
*LO SOLTN 496.112 $ problem 321
*LO SOLTN 499.960 $ problem 322
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS S316-322
INDIVIDUALS
T SQ
F X * X
G X X + X
H X X 2.0
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS S316-322
* Least-square groups
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA