
---- 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 process
  type: ssfls
  TaoLineSearch Object: 1 MPI process
    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 process
    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 process
    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 process
            type: seqaij
            rows=16, cols=16
            package used to perform factorization: petsc
            total: nonzeros=82, allocated nonzeros=82
              not using I-node routines
    linear system matrix = precond matrix:
    Mat Object: 1 MPI process
      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: catol=1e-05,   crtol=1e-05
  Residual in Constraints:=0.
  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
