create sif repository

git-svn-id: http://ccpforge.cse.rl.ac.uk/svn/cutest/sif/trunk@147 ca3beb79-f7c6-489d-80df-314e45fd556d

10FOLDTR.SIF

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+***************************
+* SET UP THE INITIAL DATA *
+***************************
+
+NAME          10FOLDTR
+
+*   Problem :
+*   *********
+
+*   The ten-fold triangular system whose root at zero has multiplicity 10
+
+*   Source:  problem 8.3 in
+*   Wenrui Hao, Andrew J. Sommese and Zhonggang Zeng, 
+*   "An algorithm and software for computing multiplicity structures 
+*    at zeros of nonlinear systems", Technical Report,
+*   Department of Applied & Computational Mathematics & Statistics,
+*   University of Notre Dame, Indiana, USA (2012)
+
+*   SIF input: Nick Gould, Jan 2012.
+
+*   classification NOR2-AN-V-0
+
+*   Problem dimension
+
+*IE N                   4              $ original value
+*IE N                   10
+*IE N                   100
+ IE N                   1000
+
+*   Define useful parameters
+
+ IE 1                   1
+ IA N-2       N         -2
+ IA N-1       N         -1
+
+VARIABLES
+
+ DO I         1                        N
+ X  X(I)
+ ND
+
+GROUPS
+
+ DO I         1                        N
+ DO J         1                        I
+ XE E(I)      X(J)      1.0
+ ND
+
+BOUNDS
+
+ FR 10FOLDTR  'DEFAULT'
+
+START POINT
+
+ X  10FOLDTR  'DEFAULT' 10.0
+
+GROUP TYPE
+
+ GV L2        GVAR
+ GV L5        GVAR
+
+GROUP USES
+
+ XT E(N-1)    L2
+ XT E(N)      L5
+
+OBJECT BOUND
+
+*   no objective
+
+ LO 10FOLDTR            0.0
+
+*   Solution
+
+*LO SOLTN               0.0
+
+ENDATA
+
+*********************
+* SET UP THE GROUPS *
+* ROUTINE           *
+*********************
+
+GROUPS        10FOLDTR
+
+INDIVIDUALS
+
+ T  L2
+ F                      GVAR * GVAR
+ G                      GVAR + GVAR
+ H                      2.0
+
+ T  L5
+ F                      GVAR ** 5
+ G                      5.0 * GVAR ** 4
+ H                      20.0 * GVAR ** 3
+
+ENDATA