
---- Minimum Surface Area Problem -----
mx: 10     my: 10   

iter =   0, Function value 1.46076, Residual: 0.207785 
iter =   0, Function value 1.43581, Residual: 0.187715 
iter =   1, Function value 1.41867, Residual: 0.0159523 
iter =   2, Function value 1.41847, Residual: 0.000148677 
iter =   3, Function value 1.41847, Residual: < 1.0e-6 
Tao Object: 2 MPI processes
  type: nls
    Newton steps: 3
    BFGS steps: 0
    Gradient steps: 0
  TaoLineSearch Object: 2 MPI processes
    type: more-thuente
    maximum function evaluations=30
    tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9
    total number of function evaluations=0
    total number of gradient evaluations=0
    total number of function/gradient evaluations=1
    Termination reason: SUCCESS
  KSP Object: (tao_nls_) 2 MPI processes
    type: stcg
    maximum iterations=15, initial guess is zero
    tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
    left preconditioning
    using UNPRECONDITIONED norm type for convergence test
  PC Object: (tao_nls_) 2 MPI processes
    type: bjacobi
      number of blocks = 2
      Local solver information for first block is in the following KSP and PC objects on rank 0:
      Use -tao_nls_ksp_view ::ascii_info_detail to display information for all blocks
      KSP Object: (tao_nls_sub_) 1 MPI process
        type: preonly
        maximum iterations=10000, initial guess is zero
        tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
        left preconditioning
        not checking for convergence
      PC Object: (tao_nls_sub_) 1 MPI process
        type: ilu
          out-of-place factorization
          0 levels of fill
          tolerance for zero pivot 2.22045e-14
          matrix ordering: natural
          factor fill ratio given 1., needed 1.
            Factored matrix follows:
              Mat Object: (tao_nls_sub_) 1 MPI process
                type: seqaij
                rows=50, cols=50
                package used to perform factorization: petsc
                total: nonzeros=364, allocated nonzeros=364
                  not using I-node routines
        linear system matrix = precond matrix:
        Mat Object: (tao_nls_sub_) 1 MPI process
          type: seqaij
          rows=50, cols=50
          total: nonzeros=364, allocated nonzeros=364
          total number of mallocs used during MatSetValues calls=0
            not using I-node routines
    linear system matrix = precond matrix:
    Mat Object: 2 MPI processes
      type: mpiaij
      rows=100, cols=100
      total: nonzeros=784, allocated nonzeros=784
      total number of mallocs used during MatSetValues calls=0
  total KSP iterations: 36
  convergence tolerances: gatol=0.0001,   grtol=1e-08,   steptol=0.,   gttol=0.
  Residual in Function/Gradient:=2.64233e-08
  Objective value=1.41847
  total number of iterations=3,                          (max: 50)
  total number of function evaluations=5,                  (max: unlimited)
  total number of gradient evaluations=1,                  (max: unlimited)
  total number of function/gradient evaluations=4,      (max: unlimited)
  total number of Hessian evaluations=4
  Solution converged:    ||g(X)|| <= gatol
