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S277-280.SIF
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***************************
* SET UP THE INITIAL DATA *
***************************
NAME S277-280
* Problem :
* *********
* An LP based on the Hilbert matrix.
* Source: problems 277 to 280 in
* K. Schittkowski,
* " More Test Problems for Nonlinear Programming Codes",
* Springer Verlag, Berlin, 1987.
* SIF input: Ph. Toint, May 1990.
* classification LLR2-AN-V-V
* Dimension of the problem
IE N 4 $-PARAMETER problem 277
*IE N 6 $-PARAMETER problem 278
*IE N 8 $-PARAMETER problem 279
*IE N 10 $-PARAMETER problem 280
* Conditioning parameter
RE D 0.0
* Other parameters
IE 1 1
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
* Objective
DO I 1 N
RI RI I
RA RI-1 RI -1.0
RE CI 0.0
DO J 1 N
RI RJ J
R+ I+J-1 RJ RI-1
RD HIJ I+J-1 1.0
R+ CI CI HIJ
OD J
ZN OBJ X(I) CI
ND
* Constraints
DO I 1 N
RI RI I
RA RI-1 RI -1.0
DO J 1 N
RI RJ J
R+ I+J-1 RJ RI-1
RD HIJ I+J-1 1.0
ZG C(I) X(J) HIJ
ND
CONSTANTS
DO I 1 N
RI RI I
RA RI-1 RI -1.0
RE BI 0.0
DO J 1 N
RI RJ J
R+ I+J-1 RJ RI-1
RD HIJ I+J-1 1.0
R+ BI BI HIJ
OD J
Z S277 C(I) BI
ND
START POINT
XV S277 'DEFAULT' 0.0
OBJECT BOUND
* Solution
*LO SOLTN(4) 5.076190464
*LO SOLTN(6) 7.83853
*LO SOLTN(8) 10.6059
*LO SOLTN(10) 13.3754
ENDATA