03 - MINIMIZATION WITH LINEAR CONSTRAINTS
-----------------------------------------


      CALL EILD03(N,NC,NCL,X,IX,XL,XU,IC,CL,CU,CG,
     &            FMIN,XMAX,NEXT,IEXT,IERR)

         N - NUMBER OF VARIABLES (OUTPUT)
         NC - NUMBER OF GENERAL CONSTRAINTS (OUTPUT)
         NCL - NUMBER OF LINEAR CONSTRAINTS (OUTPUT - ALWAYS NC)
         X(N) - INITIAL VECTOR OF VARIABLES (OUTPUT)
         IX(N) - TYPES OF SIMPLE BOUNDS (OUTPUT):
                IX(I)=0 FOR UNBOUNDED VARIABLE,
                IX(I)=1 FOR LOWER BOUND XL(I) <= X(I),
                IX(I)=2 FOR UPPER BOUND X(I) <= XU(I),
                IX(I)=3 FOR TWO SIDED BOUND XL(I) <= X(I) <= XU(I)
         XL(N) - VECTOR OF LOWER BOUNDS (OUTPUT)
         XU(N) - VECTOR OF UPPER BOUNDS (OUTPUT)
         IC(NC) - TYPES OF GENERAL CONSTRAINTS (OUTPUT):
                IC(KC)=1 FOR LOWER CONSTRAINT CL(KC) <= FC(KC),
                IC(KC)=2 FOR UPPER CONSTRAINT FC(KC) <= CU(KC),
                IC(KC)=3 FOR TWO SIDED CONSTRAINT
                CL(KC) <= FC(KC) <= CU(KC)
         CL(NC) - VECTOR OF LOWER CONSTRAINTS (OUTPUT)
         CU(NC) - VECTOR OF UPPER CONSTRAINTS (OUTPUT)
         CG(NC*N) - COEFFICIENTS OF LINEAR CONSTRAINTS (OUTPUT)
         FMIN - LOWER BOUND OF OBJECTIVE FUNCTION (OUTPUT)
         XMAX - UPPER BOUND OF STEPSIZE (OUTPUT)
         NEXT - NO. OF PROBLEM (INPUT): THERE IS 15 PROBLEMS
                (NEXT FROM 1 TO 15)
         IEXT - TYPE OF EXTREMUM (0-MINIMUM, 1-MAXIMUM)
         IERR - CONFLICT IN INPUT DATA IF IERR <> 0 (OUTPUT)


      CALL EFFU03(N,X,F,NEXT)

         N - NUMBER OF VARIABLES (INPUT)
         X(N) - ACTUAL VECTOR OF VARIABLES (INPUT)
         F - VALUE OF THE OBJECTIVE FUNCTION (OUTPUT)
         NEXT - NO. OF PROBLEM (INPUT)


      CALL EFGU03(N,X,G,NEXT)

         N - NUMBER OF VARIABLES (INPUT)
         X(N) - ACTUAL VECTOR OF VARIABLES (INPUT)
         G(N) - GRADIENT OF THE OBJECTIVE FUNCTION (OUTPUT)
         NEXT - NO. OF PROBLEM (INPUT)


RECOMMENDED INPUT VALUE N=16 AND NC=10
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