---- Minimum Surface Area With Plate Problem -----
mx:8, my:6, bmx:3, bmy:3, height:0.2
iter =   0, Function value 1.67039, Residual: 0.47529
iter =   0, Function value 1.57687, Residual: 0.447462
iter =   1, Function value 1.52082, Residual: 0.221251
iter =   2, Function value 1.50587, Residual: 0.0266265
iter =   3, Function value 1.50566, Residual: 0.000666715
iter =   4, Function value 1.50566, Residual: < 1.0e-6
Tao Object: 1 MPI process
  type: bntl
    Tao Object: (tao_bnk_cg_) 1 MPI process
      type: bncg
        CG Type: ssml_bfgs
        Skipped Stepdirection Updates: 0
        Scaled gradient steps: 0
        Pure gradient steps: 0
        Not a descent direction: 0
        Line search fails: 0
        Matrix has not been preallocated yet
      TaoLineSearch Object: (tao_bnk_cg_) 1 MPI process
        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=0
        Termination reason: CONTINUE_ITERATING
      Active Set subset type: subvec
      convergence tolerances: gatol=1e-08,       grtol=1e-08,       steptol=0.,       gttol=0.
      Residual in Function/Gradient:=0.
      Objective value=0.
      total number of iterations=0,                              (max: 2000)
      Solver never run
    Rejected BFGS updates: 0
    CG steps: 0
    Newton steps: 4
    BFGS steps: 0
    Scaled gradient steps: 0
    Gradient steps: 0
    KSP termination reasons:
      atol: 0
      rtol: 3
      ctol: 1
      negc: 0
      dtol: 0
      iter: 0
      othr: 0
  TaoLineSearch Object: 1 MPI process
    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=0
    using variable bounds
    Termination reason: CONTINUE_ITERATING
  KSP Object: (tao_bnk_) 1 MPI process
    type: stcg
    maximum iterations=10000, 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_bnk_) 1 MPI process
    type: lmvm
    Mat Object: (tao_bnk_pc_lmvm_) 1 MPI process
      type: lmvmbfgs
      rows=48, cols=48
        Max. storage: 5
        Used storage: 4
        Number of updates: 4
        Number of rejects: 0
        Number of resets: 0
        J0:
          Mat Object: (tao_bnk_pc_lmvm_mat_lmvm_J0_) 1 MPI process
            type: diagonal
            rows=48, cols=48
              Vec Object: 1 MPI process
                type: seq
        Rescale type: diagonal
        Rescale history: 1
        Rescale params: alpha=1., beta=0.5, rho=1.
        Rescale convex factor: theta=0.125
    linear system matrix, which is also used to construct the preconditioner:
    Mat Object: 1 MPI process
      type: submatrix
      rows=40, cols=40
  total KSP iterations: 61
  Active Set subset type: subvec
  convergence tolerances: gatol=1e-05,   grtol=1e-08,   steptol=0.,   gttol=0.
  Residual in Function/Gradient:=7.77429e-07
  Objective value=1.50566
  total number of iterations=4,                          (max: 50)
  total number of function/gradient evaluations=90,      (max: unlimited)
  total number of Hessian evaluations=5
  Solution converged:    ||g(X)|| <= gatol