CVXPY
Minimize
  norm1(X)
Subject To
Bounds
 X free
End
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AFTER COMPILATION
Minimize
  x_0 + x_1 + x_2 + x_3
Subject To
 R0: - x_0 + x_4 <= 0
 R1: - x_1 + x_5 <= 0
 R2: - x_2 + x_6 <= 0
 R3: - x_3 + x_7 <= 0
 R4: - x_0 - x_4 <= 0
 R5: - x_1 - x_5 <= 0
 R6: - x_2 - x_6 <= 0
 R7: - x_3 - x_7 <= 0
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
 x_4 free
 x_5 free
 x_6 free
 x_7 free
End
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GUROBI
Minimize
  0 X[0,0] + 0 X[0,1] + 0 X[1,0] + 0 X[1,1] + norm1_1
Subject To
Bounds
 X[0,0] free
 X[0,1] free
 X[1,0] free
 X[1,1] free
General Constraints
 GC0: norm1_1 = NORM ( 1 ) ( X[0,0] , X[0,1] , X[1,0] , X[1,1] )
End