*************************** * SET UP THE INITIAL DATA * *************************** NAME BIGGS6 * Problem : * ********* * Biggs EXP problem in 6 variables * Source: Problem 21 in * A.R. Buckley, * "Test functions for unconstrained minimization", * TR 1989CS-3, Mathematics, statistics and computing centre, * Dalhousie University, Halifax (CDN), 1989. * SIF input: Ph. Toint, Dec 1989. * classification SUR2-AN-6-0 * The number of groups can be varied, but should be larger or equal * to the number of variables. * Number of variables IE N 6 * Number of groups IE M 13 * Useful parameters IE 1 1 VARIABLES X1 X2 X3 X4 X5 X6 GROUPS DO I 1 M XN G(I) ND CONSTANTS DO I 1 M RI RI I RM MTI RI -0.1 R( EMTI EXP MTI RM MT2 RI -1.0 R( E2 EXP MT2 RM MT3 MTI 4.0 R( E3 EXP MT3 RM T2 E2 -5.0 RM T3 E3 3.0 R+ Y0 EMTI T2 R+ Y Y0 T3 Z BIGGS6 G(I) Y ND BOUNDS FR BIGGS6 'DEFAULT' START POINT BIGGS6 X1 1.0 BIGGS6 X2 2.0 BIGGS6 X3 1.0 BIGGS6 X4 1.0 BIGGS6 X5 1.0 BIGGS6 X6 1.0 OTHERX X1 1.0 OTHERX X2 2.0 OTHERX X3 1.0 OTHERX X4 1.0 OTHERX X5 4.0 OTHERX X6 3.0 ELEMENT TYPE EV PEXP V1 V2 EP PEXP T ELEMENT USES XT 'DEFAULT' PEXP DO I 1 M RI RI I RM MTI RI -0.1 ZV A(I) V1 X3 ZV A(I) V2 X1 ZP A(I) T MTI ZV B(I) V1 X4 ZV B(I) V2 X2 ZP B(I) T MTI ZV C(I) V1 X6 ZV C(I) V2 X5 ZP C(I) T MTI ND GROUP TYPE GV L2 GVAR GROUP USES XT 'DEFAULT' L2 DO I 1 M XE G(I) A(I) 1.0 B(I) -1.0 XE G(I) C(I) 1.0 ND OBJECT BOUND LO BIGGS6 0.0 * Solution *LO SOLTN 0.0 ENDATA *********************** * SET UP THE FUNCTION * * AND RANGE ROUTINES * *********************** ELEMENTS BIGGS6 TEMPORARIES R EXPA R V1EXPA M EXP INDIVIDUALS * Parametric product with exponential T PEXP A EXPA EXP( T * V2 ) A V1EXPA V1 * EXPA F V1EXPA G V1 EXPA G V2 T * V1EXPA H V1 V2 T * EXPA H V2 V2 T * T * V1EXPA ENDATA ********************* * SET UP THE GROUPS * * ROUTINE * ********************* GROUPS BIGGS6 INDIVIDUALS * Least-square groups T L2 F GVAR * GVAR G GVAR + GVAR H 2.0 ENDATA