
---- 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: 0.000148629 
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: none
    linear system matrix = precond matrix:
    Mat Object: 2 MPI processes
      type: mffd
      rows=100, cols=100
        Matrix-free approximation:
          err=1.49012e-08 (relative error in function evaluation)
          Using wp compute h routine
              Does not compute normU
  total KSP iterations: 45
  convergence tolerances: gatol=0.0001,   grtol=1e-08,   steptol=0.,   gttol=0.
  Residual in Function/Gradient:=2.6627e-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
