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OSCIPATH.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME OSCIPATH
* Problem :
* *********
* An "oscillating path" problem due to Yurii Nesterov
* SIF input: Nick Gould, Dec 2006.
* classification SUR2-AN-V-0
* Number of variables
*IE N 2 $-PARAMETER
*IE N 5 $-PARAMETER
IE N 10 $-PARAMETER
*IE N 25 $-PARAMETER
*IE N 100 $-PARAMETER
*IE N 500 $-PARAMETER
* the weight factor
*RE RHO 1.0 $-PARAMETER Nesterov's original value
RE RHO 500.0 $-PARAMETER Florian Jarre's value
* other parameter definitions
IE 1 1
IE 2 2
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
DO I 1 N
XN Q(I) X(I) 1.0
ND
CONSTANTS
OSCIPATH Q1 1.0
BOUNDS
FR OSCIPATH 'DEFAULT'
START POINT
XV OSCIPATH X(1) -1.0
DO I 2 N
*XV OSCIPATH X(I) 0.9
XV OSCIPATH X(I) 1.0
ND
ELEMENT TYPE
EV CHEB TAU
ELEMENT USES
XT 'DEFAULT' CHEB
DO I 2 N
IA I-1 I -1
ZV P(I) TAU X(I-1)
ND
GROUP TYPE
GV PL2 GVAR
GP PL2 P
GROUP USES
T 'DEFAULT' PL2
P Q1 P 0.25
DO I 2 N
XE Q(I) P(I) -1.0
ZP Q(I) P RHO
ND
OBJECT BOUND
LO OSCIPATH 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS OSCIPATH
INDIVIDUALS
T CHEB
F 2.0 * TAU ** 2 - 1.0
G TAU 4.0 * TAU
H TAU TAU 4.0
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS OSCIPATH
INDIVIDUALS
T PL2
F P * GVAR * GVAR
G 2.0 * P * GVAR
H 2.0 * P
ENDATA