
---- Minimum Surface Area Problem -----
mx:4, my:4
  0 TAO, Function value: 0.210376,  Residual: 0.403597 
  1 TAO, Function value: 0.0110611,  Residual: 0.019795 
  2 TAO, Function value: 4.46413e-05,  Residual: 8.72658e-05 
Tao Object: 1 MPI processes
  type: ssfls
  TaoLineSearch Object: 1 MPI processes
    type: armijo
      Armijo linesearch     (projected)    : alpha=1. beta=0.5     sigma=0.0001     memsize=1
    maximum function evaluations=30
    tolerances: ftol=0.0001, rtol=1e-05, gtol=0.9
    total number of function evaluations=1
    total number of gradient evaluations=1
    total number of function/gradient evaluations=0
    using variable bounds
    Termination reason: 1
    KSP Object: 1 MPI processes
      type: gmres
        restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
        happy breakdown tolerance 1e-30
      maximum iterations=10000, initial guess is zero
      tolerances:  relative=1e-05, absolute=1e-25, divergence=10000.
      left preconditioning
      using PRECONDITIONED norm type for convergence test
    PC Object: 1 MPI processes
      type: ilu
        out-of-place factorization
        0 levels of fill
        tolerance for zero pivot 1.19209e-05
        matrix ordering: natural
        factor fill ratio given 1., needed 1.
          Factored matrix follows:
            Mat Object: 1 MPI processes
              type: seqaij
              rows=16, cols=16
              package used to perform factorization: petsc
              total: nonzeros=82, allocated nonzeros=82
              total number of mallocs used during MatSetValues calls=0
                not using I-node routines
      linear system matrix = precond matrix:
      Mat Object: 1 MPI processes
        type: seqaij
        rows=16, cols=16
        total: nonzeros=82, allocated nonzeros=112
        total number of mallocs used during MatSetValues calls=0
          not using I-node routines
    total KSP iterations: 9
    Active Set subset type: subvec
    convergence tolerances: gatol=1e-06,   steptol=0.,   gttol=0.
    Residual in Function/Gradient:=8.72658e-05
    convergence tolerances: function minimum=0.0001
    Objective value=4.46413e-05
    total number of iterations=2,                          (max: 2000)
    total number of constraint function evaluations=5
    total number of Jacobian evaluations=3
    Solution converged:    Minf --  f < fmin
