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COSHFUN.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME COSHFUN
* Problem :
* *********
* A nonlinear minmax problem.
* Source:
* K. Jonasson and K. Madsen,
* "Corrected sequential linear programming for sparse
* minimax optimization", Technical report, Institute for Numerical
* Analysis, Technical U. of Denmark.
* SIF input: Nick Gould, October 1992.
* classification LOR2-AN-V-V
* the number of functions
*IE M 3 $-PARAMETER
*IE M 8 $-PARAMETER
*IE M 14 $-PARAMETER
*IE M 20 $-PARAMETER original value
*IE M 200 $-PARAMETER
IE M 2000 $-PARAMETER
* the number of independent variables
IM N M 3
* other useful parameters
IA N-3 N -3
IA N-5 N -5
* Define constants
IE 0 0
IE 1 1
IE 3 3
IE 6 6
VARIABLES
* The independent variables
DO I 1 N
X X(I)
ND
* The value of the objective function
F
GROUPS
XN OBJ F 1.0
DO I 1 M
XL C(I) F -1.0
ND
L C1 X3 -2.0 X6 -1.0
DO I 6 N-3
DI I 3
IA I-5 I -5
IA I+3 I 3
I/ I/3 I 3
XL C(I/3) X(I-5) 1.0 X(I) -2.0
XL C(I/3) X(I+3) -1.0
ND
XL C(M) X(N-5) 1.0 X(N) -2.0
BOUNDS
XR COSHFUN 'DEFAULT'
ELEMENT TYPE
EV SQR X
EV COSH X
EV PROD X Y
ELEMENT USES
DO I 3 N
DI I 3
IA I-1 I -1
IA I-2 I -2
I/ I/3 I 3
XT SQR(I/3) SQR
ZV SQR(I/3) X X(I)
XT COSH(I/3) COSH
ZV COSH(I/3) X X(I-1)
XT PROD(I/3) PROD
ZV PROD(I/3) X X(I-2)
ZV PROD(I/3) Y X(I)
ND
GROUP USES
DO I 1 M
XE C(I) SQR(I) COSH(I)
XE C(I) PROD(I)
ND
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS COSHFUN
TEMPORARIES
R COSHX
M COSH
M SINH
INDIVIDUALS
* The square of X
T SQR
F X * X
G X 2.0D+0 * X
H X X 2.0D+0
* The COSH of X
T COSH
A COSHX COSH( X )
F COSHX
G X SINH( X )
H X X COSHX
* Two times the product of X squared and Y
T PROD
F 2.0D+0 * X * X * Y
G X 4.0D+0 * X * Y
G Y 2.0D+0 * X * X
H X X 4.0D+0 * Y
H X Y 4.0D+0 * X
ENDATA