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HEART8LS.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME HEART8LS
* Problem :
* *********
* Dipole model of the heart (6 x 6 version).
* This is the least squares version of problem HEART8.
* Source:
* J. E. Dennis, Jr., D. M. Gay, P. A. Vu,
* "A New Nonlinear Equations Test Problem".
* Tech. Rep. 83-16, Dept. of Math. Sci., Rice Univ., Houston, TX
* June 1983, revised May 1985.
* SIF input: A.R. Conn, May 1993.
* correction by Ph. Shott, January, 1995.
* classification SUR2-MN-8-0
* some useful parameters.
*RE sum_Mx 0.485
*RE sum_My -0.0019
*RE sum_A -0.0581
*RE sum_B 0.015
*RE sum_C 0.105
*RE sum_D 0.0406
*RE sum_E 0.167
*RE sum_F -0.399
RE sum_Mx -0.69
RE sum_My -0.044
RE sum_A -1.57
RE sum_B -1.31
RE sum_C -2.65
RE sum_D 2.0
RE sum_E -12.6
RE sum_F 9.48
*RE sum_Mx -0.816
*RE sum_My -0.017
*RE sum_A -1.826
*RE sum_B -0.754
*RE sum_C -4.839
*RE sum_D -3.259
*RE sum_E -14.023
*RE sum_F 15.467
*RE sum_Mx -0.809
*RE sum_My -0.021
*RE sum_A -2.04
*RE sum_B -0.614
*RE sum_C -6.903
*RE sum_D -2.934
*RE sum_E -26.328
*RE sum_F 18.639
*RE sum_Mx -0.807
*RE sum_My -0.021
*RE sum_A -2.379
*RE sum_B -0.364
*RE sum_C -10.541
*RE sum_D -1.961
*RE sum_E -51.551
*RE sum_F 21.053
VARIABLES
a
b
c
d
t
u
v
w
GROUPS
N G1 a 1.0 b 1.0
N G2 c 1.0 d 1.0
N G3
N G4
N G5
N G6
N G7
N G8
CONSTANTS
Z HEART8LS G1 sum_Mx
Z HEART8LS G2 sum_My
Z HEART8LS G3 sum_A
Z HEART8LS G4 sum_B
Z HEART8LS G5 sum_C
Z HEART8LS G6 sum_D
Z HEART8LS G7 sum_E
Z HEART8LS G8 sum_F
BOUNDS
FR HEART8LS 'DEFAULT'
START POINT
XV HEART8LS 'DEFAULT' 1.0
XV HEART8LS a 0.0
XV HEART8LS c 0.0
ELEMENT TYPE
EV 2PROD X Y
EV 3PROD X Y
EV 3PROD Z
EV VPV X Y
EP VPV ALPHA
EV ADFSQ X Y
EV ADFSQ Z
EV PDFSQ X Y
EV PDFSQ Z
EP PDFSQ ALPHA
EV P3PRD X Y
EV P3PRD Z
EP P3PRD ALPHA
EV 3DPRD X Y
EV 3DPRD Z
EV D3PRD X Y
EV D3PRD Z
EP D3PRD ALPHA
ELEMENT USES
T E1 2PROD
V E1 X t
V E1 Y a
T E2 2PROD
V E2 X u
V E2 Y b
T E3 2PROD
V E3 X v
V E3 Y c
T E4 2PROD
V E4 X w
V E4 Y d
T E5 2PROD
V E5 X v
V E5 Y a
T E6 2PROD
V E6 X w
V E6 Y b
T E7 2PROD
V E7 X t
V E7 Y c
T E8 2PROD
V E8 X u
V E8 Y d
T E9 ADFSQ
V E9 X a
V E9 Y t
V E9 Z v
T E10 3PROD
V E10 X c
V E10 Y t
V E10 Z v
T E11 ADFSQ
V E11 X b
V E11 Y u
V E11 Z w
T E12 3PROD
V E12 X d
V E12 Y u
V E12 Z w
T E13 ADFSQ
V E13 X c
V E13 Y t
V E13 Z v
T E14 3PROD
V E14 X a
V E14 Y t
V E14 Z v
T E15 ADFSQ
V E15 X d
V E15 Y u
V E15 Z w
T E16 3PROD
V E16 X b
V E16 Y u
V E16 Z w
T E17 3DPRD
V E17 X a
V E17 Y t
V E17 Z v
T E18 3DPRD
V E18 X c
V E18 Y v
V E18 Z t
T E19 3DPRD
V E19 X b
V E19 Y u
V E19 Z w
T E20 3DPRD
V E20 X d
V E20 Y w
V E20 Z u
T E21 3DPRD
V E21 X c
V E21 Y t
V E21 Z v
T E22 3DPRD
V E22 X a
V E22 Y v
V E22 Z t
T E23 3DPRD
V E23 X d
V E23 Y u
V E23 Z w
T E24 3DPRD
V E24 X b
V E24 Y w
V E24 Z u
GROUP TYPE
GV L2 GVAR
GROUP USES
T 'DEFAULT' L2
E G3 E1 E2
E G3 E3 -1.0 E4 -1.0
E G4 E5 E6
E G4 E7 E8
E G5 E9 E10 -2.0
E G5 E11 E12 -2.0
E G6 E13 E14 2.0
E G6 E15 E16 2.0
E G7 E17 E18
E G7 E19 E20
E G8 E21 E22 -1.0
E G8 E23 E24 -1.0
OBJECT BOUND
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HEART8LS
TEMPORARIES
R ZERO
R TWO
R THREE
R SIX
R DIFF
R DFSQ
R TWOD
R TWOX
INDIVIDUALS
* Element type 2PROD
T 2PROD
A ZERO 0.0
F X*Y
G X Y
G Y X
H X X ZERO
H Y Y ZERO
H X Y 1.0
* Element type 3PROD
T 3PROD
A ZERO 0.0
F X*Y*Z
G X Y*Z
G Y X*Z
G Z X*Y
H X X ZERO
H Y Y ZERO
H Z Z ZERO
H X Y Z
H X Z Y
H Y Z X
* Element type VPV
T VPV
A ZERO 0.0
A DIFF ALPHA - Y
F X*DIFF
G X DIFF
G Y -X
H X X ZERO
H Y Y ZERO
H X Y -1.0
* Element type ADFSQ
T ADFSQ
A ZERO 0.0
A TWO 2.0
A DFSQ Y**2 - Z**2
A TWOX TWO*X
F X*DFSQ
G X DFSQ
G Y TWOX*Y
G Z -TWOX*Z
H X X ZERO
H Y Y TWOX
H Z Z -TWOX
H X Y TWO*Y
H X Z -TWO*Z
H Y Z ZERO
* Element type PDFSQ
T PDFSQ
A ZERO 0.0
A TWO 2.0
A DIFF ALPHA - X
A DFSQ Y**2 - Z**2
A TWOX TWO*X
A TWOD TWO*DIFF
F DIFF*DFSQ
G X -DFSQ
G Y TWOD*Y
G Z -TWOD*Z
H X X ZERO
H Y Y TWOD
H Z Z -TWOD
H X Y -TWO*Y
H X Z TWO*Z
H Y Z ZERO
* Element type P3PRD
T P3PRD
A ZERO 0.0
A TWO 2.0
A DIFF ALPHA - X
F DIFF*Y*Z
G X -Y*Z
G Y DIFF*Z
G Z DIFF*Y
H X X ZERO
H Y Y ZERO
H Z Z ZERO
H X Y -Z
H X Z -Y
H Y Z DIFF
* Element type 3DPRD
T 3DPRD
A ZERO 0.0
A TWO 2.0
A THREE 3.0
A SIX 6.0
A DIFF Y**2 - THREE*Z**2
F X*Y*DIFF
G X Y*DIFF
G Y X*DIFF + TWO*X*Y**2
G Z -SIX*X*Y*Z
H X X ZERO
H Y Y SIX*X*Y
H Z Z -SIX*X*Y
H X Y DIFF + TWO*Y**2
H X Z -SIX*Y*Z
H Y Z -SIX*X*Z
* Element type D3PRD
T D3PRD
A ZERO 0.0
A TWO 2.0
A THREE 3.0
A SIX 6.0
A DFSQ Y**2 - THREE*Z**2
A DIFF ALPHA - x
F DIFF*Y*DFSQ
G X -Y*DFSQ
G Y DIFF*(DFSQ + TWO*Y**2)
G Z -SIX*Y*Z*DIFF
H X X ZERO
H Y Y SIX*Y*DIFF
H Z Z -SIX*Y*DIFF
H X Y -DFSQ - TWO*Y**2
H X Z SIX*Y*Z
H Y Z -SIX*DIFF*Z
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS HEART8LS
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA