+++++++++++++++++++++++++++++++++++++++++++
  +    MAD-X 5.00.16  (64 bit, Darwin)      +
  +    DEBUG Version - use at own risk!     +
  + Code Modification Date: 2012.04.05      +
  + Execution Time Stamp: 05.06.12 10.38.39 +
  +++++++++++++++++++++++++++++++++++++++++++
match,use_macro;

vary,name=x1;

vary,name=x2;

vary,name=x3;

vary,name=x4;

m1: macro={ };

constraint,expr=   x1+2*x2-3*x3+4*x4=0;

constraint,expr= 5*x1+2*x2+7*x3+1*x4=0;

constraint,expr= 6*x1+2*x2+3*x3+3*x4=0;

jacobian,strategy=2;

number of variables:    4
user given constraints: 0
total constraints:      3

START JACOBIAN:

 JACOBIAN Strategy =           2
Initial Penalty Function =   0.0000000000000000E+00


 Final difference norm:  0.000000000000000E+000


JACOBIAN:
Node       Constraint   Variable           Derivative
---------------------------------------------------------------
  m1 x1+2*x2-3*x3+4*x4=0         x1     1.0000000000e+00
  m1 x1+2*x2-3*x3+4*x4=0         x2     2.0000000000e+00
  m1 x1+2*x2-3*x3+4*x4=0         x3    -3.0000000000e+00
  m1 x1+2*x2-3*x3+4*x4=0         x4     4.0000000000e+00
  m1 5*x1+2*x2+7*x3+1*x4=0         x1     5.0000000000e+00
  m1 5*x1+2*x2+7*x3+1*x4=0         x2     2.0000000000e+00
  m1 5*x1+2*x2+7*x3+1*x4=0         x3     7.0000000000e+00
  m1 5*x1+2*x2+7*x3+1*x4=0         x4     1.0000000000e+00
  m1 6*x1+2*x2+3*x3+3*x4=0         x1     6.0000000000e+00
  m1 6*x1+2*x2+3*x3+3*x4=0         x2     2.0000000000e+00
  m1 6*x1+2*x2+3*x3+3*x4=0         x3     3.0000000000e+00
  m1 6*x1+2*x2+3*x3+3*x4=0         x4     3.0000000000e+00


SINGULAR VALUE DECOMPOSITION:
Variable vector           ---> Sing. val. * Node constraint vector          
--------------------------------------------------------------------
x1               0.68272       11.291     0.022948 x1+2*x2-3*x3+4*x4=0 
x2               0.25356                   0.76542 5*x1+2*x2+7*x3+1*x4=0 
x3               0.63929                   0.64312 6*x1+2*x2+3*x3+3*x4=0 
x4               0.24679                                    


x1              -0.22286       6.1625      -0.8828 x1+2*x2-3*x3+4*x4=0 
x2              -0.29588                   0.31742 5*x1+2*x2+7*x3+1*x4=0 
x3               0.62175                  -0.34628 6*x1+2*x2+3*x3+3*x4=0 
x4              -0.69009                                    


x1              -0.67059       1.2374      0.46919 x1+2*x2-3*x3+4*x4=0 
x2               0.55925                    0.5598 5*x1+2*x2+7*x3+1*x4=0 
x3               0.37342                  -0.68299 6*x1+2*x2+3*x3+3*x4=0 
x4               0.31323                                    


x1              -0.18583                                    
x2              -0.73172                                    
x3               0.25552                                    
x4               0.60396                                    


endmatch;


MATCH SUMMARY

--------------------------------------------------------------------
macro: m1                  
  constraint: x1+2*x2-3*x3+4*x4=0                     
  values:     +0.00000e+00=+0.00000e+00
  weight:     +1.00000e+00
  penalty:    +0.00000e+00

  constraint: 5*x1+2*x2+7*x3+1*x4=0                   
  values:     +0.00000e+00=+0.00000e+00
  weight:     +1.00000e+00
  penalty:    +0.00000e+00

  constraint: 6*x1+2*x2+3*x3+3*x4=0                   
  values:     +0.00000e+00=+0.00000e+00
  weight:     +1.00000e+00
  penalty:    +0.00000e+00



Final Penalty Function =   0.00000000e+00



Variable                 Final Value  Initial Value Lower Limit  Upper Limit 
--------------------------------------------------------------------------------
x1                        0.00000e+00  0.00000e+00 -1.00000e+20  1.00000e+20
x2                        0.00000e+00  0.00000e+00 -1.00000e+20  1.00000e+20
x3                        0.00000e+00  0.00000e+00 -1.00000e+20  1.00000e+20
x4                        0.00000e+00  0.00000e+00 -1.00000e+20  1.00000e+20

END MATCH SUMMARY

VARIABLE "TAR" SET TO   0.00000000e+00

  Number of warnings: 0

  ++++++++++++++++++++++++++++++++++++++++++++
  + MAD-X 5.00.16 64 finished normally +
  ++++++++++++++++++++++++++++++++++++++++++++