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PFIT1LS.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME PFIT1LS
* Problem :
* *********
* The problem is to fit a model containing a pole, given data
* for values, first and second derivatives at two distinct points.
* This is a least-squares version of problem PFIT1.
* The problem is not convex.
* SIF input: Ph. Toint, March 1994.
* Lower bound on H added, Nov 2002.
* classification SBR2-AN-3-0
* Problem data
RE CF -8.0
RE CG -18.6666666666
RE CH -23.1111111111
VARIABLES
A
R
H
GROUPS
N EF
N EG
N EH
CONSTANTS
Z PFIT1LS EF CF
Z PFIT1LS EG CG
Z PFIT1LS EH CH
BOUNDS
FR PFIT1LS 'DEFAULT'
LO PFIT1LS H -0.5
START POINT
V PFIT1LS A 1.0
V PFIT1LS R 0.0
V PFIT1LS H 1.0
ELEMENT TYPE
EV T1 AA RR
EV T1 XX
EV T2 AA RR
EV T2 XX
EV T3 AA RR
EV T3 XX
EV T4 AA RR
EV T4 XX
EV T5 AA RR
EV T5 XX
ELEMENT USES
T EA T3
V EA AA A
V EA RR R
V EA XX H
T EB T2
V EB AA A
V EB RR R
V EB XX H
T EC T1
V EC AA A
V EC RR R
V EC XX H
T ED T4
V ED AA A
V ED RR R
V ED XX H
T EE T5
V EE AA A
V EE RR R
V EE XX H
GROUP TYPE
GV L2 GVAR
GROUP USES
T 'DEFAULT' L2
E EF EA -0.5 EC 1.0
E EF ED -1.0
E EG EA -1.0 EB
E EH EE -1.0
OBJECT BOUND
LO PFIT1LS 0.0
* Solution at ( 1.0, 3.0 , 2.0 )
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS PFIT1LS
TEMPORARIES
R Y
R ARX
R LOGY
R A1
R B
R BA
R BX
R BAA
R BAX
R BXX
R C
R CC
R CCC
R D
R DA
R DR
R DX
R DAA
R DAR
R DAX
R DRX
R DXX
M LOG
INDIVIDUALS
T T1
F AA * RR * XX
G AA RR * XX
G RR AA * XX
G XX AA * RR
H AA RR XX
H AA XX RR
H RR XX AA
T T2
A A1 AA + 1.0
A Y 1.0 + XX
A LOGY LOG( Y )
A C Y ** ( - A1 )
A CC C / Y
A CCC CC / Y
A B 1.0 - C
A BA LOGY * C
A BX A1 * CC
A BAA - LOGY * LOGY * C
A BAX - LOGY * BX + CC
A BXX - A1 * ( A1 + 1.0 ) * CCC
A ARX AA * RR * XX
F ARX * B
G AA RR * XX * B + ARX * BA
G RR AA * XX * B
G XX AA * RR * B + ARX * BX
H AA AA 2.0 * RR * XX * BA + ARX * BAA
H AA RR XX * B + AA * XX * BA
H AA XX RR * B + RR * XX * BX + AA * RR * BA
H+ + ARX * BAX
H RR XX AA * B + AA * XX * BX
H XX XX 2.0 * AA * RR * BX + ARX * BXX
T T3
F AA * ( AA + 1.0 ) * RR * XX * XX
G AA ( 2.0 * AA + 1.0 ) * RR * XX * XX
G RR AA * ( AA + 1.0 ) * XX * XX
G XX 2.0 * AA * ( AA + 1.0 ) * RR * XX
H AA AA 2.0 * RR * XX * XX
H AA RR ( 2.0 * AA + 1.0 ) * XX * XX
H AA XX 2.0 * ( 2.0 * AA + 1.0 ) * RR * XX
H RR XX 2.0 * AA * ( AA + 1.0 ) * XX
H XX XX 2.0 * AA * ( AA + 1.0 ) * RR
T T4
A Y 1.0 + XX
A LOGY LOG( Y )
A C Y ** ( - AA )
A CC C / Y
A CCC CC / Y
A B 1.0 - C
A BA LOGY * C
A BX AA * CC
A BAA - LOGY * LOGY * C
A BAX - LOGY * BX + CC
A BXX - AA * ( AA + 1.0 ) * CCC
F RR * B
G AA RR * BA
G RR B
G XX RR * BX
H AA AA RR * BAA
H AA RR BA
H AA XX RR * BAX
H RR XX BX
H XX XX RR * BXX
T T5
A A1 AA + 2.0
A Y 1.0 + XX
A LOGY LOG( Y )
A C Y ** ( - A1 )
A CC C / Y
A CCC CC / Y
A B 1.0 - C
A BA LOGY * C
A BX A1 * CC
A BAA - LOGY * LOGY * C
A BAX - LOGY * BX + CC
A BXX - A1 * ( A1 + 1.0 ) * CCC
A D AA * ( AA + 1.0 ) * RR * XX * XX
A DA ( 2.0 * AA + 1.0 ) * RR * XX * XX
A DR AA * ( AA + 1.0 ) * XX * XX
A DX 2.0 * AA * ( AA + 1.0 ) * RR * XX
A DAA 2.0 * RR * XX * XX
A DAR ( 2.0 * AA + 1.0 ) * XX * XX
A DAX 2.0 * ( 2.0 * AA + 1.0 ) * RR * XX
A DRX 2.0 * AA * ( AA + 1.0 ) * XX
A DXX 2.0 * AA * ( AA + 1.0 ) * RR
F D * B
G AA DA * B + D * BA
G RR DR * B
G XX DX * B + D * BX
H AA AA DAA * B + 2.0 * DA * BA + D * BAA
H AA RR DAR * B + DR * BA
H AA XX DAX * B + DA * BX + DX * BA + D * BAX
H RR XX DRX * B + DR * BX
H XX XX DXX * B + 2.0 * DX * BX + D * BXX
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS PFIT1LS
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA