1 2---- Minimum Surface Area With Plate Problem ----- 3mx:8, my:6, bmx:3, bmy:3, height:0.2 4iter = 0, Function value 1.67039, Residual: 0.47529 5iter = 1, Function value 1.50978, Residual: 0.128026 6iter = 2, Function value 1.5058, Residual: 0.0448655 7iter = 3, Function value 1.50566, Residual: 0.000115801 8iter = 4, Function value 1.50566, Residual: < 1.0e-6 9Tao Object: 1 MPI process 10 type: bnls 11 Tao Object: (tao_bnk_cg_) 1 MPI process 12 type: bncg 13 CG Type: ssml_bfgs 14 Skipped Stepdirection Updates: 0 15 Scaled gradient steps: 0 16 Pure gradient steps: 0 17 Not a descent direction: 0 18 Line search fails: 0 19 Matrix has not been preallocated yet 20 TaoLineSearch Object: (tao_bnk_cg_) 1 MPI process 21 type: more-thuente 22 maximum function evaluations=30 23 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 24 total number of function evaluations=0 25 total number of gradient evaluations=0 26 total number of function/gradient evaluations=0 27 Termination reason: CONTINUE_ITERATING 28 Active Set subset type: subvec 29 convergence tolerances: gatol=1e-08, grtol=1e-08, steptol=0., gttol=0. 30 Residual in Function/Gradient:=0. 31 Objective value=0. 32 total number of iterations=0, (max: 2000) 33 Solver never run 34 Rejected BFGS updates: 0 35 CG steps: 0 36 Newton steps: 4 37 BFGS steps: 0 38 Scaled gradient steps: 0 39 Gradient steps: 0 40 KSP termination reasons: 41 atol: 0 42 rtol: 4 43 ctol: 0 44 negc: 0 45 dtol: 0 46 iter: 0 47 othr: 0 48 TaoLineSearch Object: 1 MPI process 49 type: more-thuente 50 maximum function evaluations=30 51 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 52 total number of function evaluations=0 53 total number of gradient evaluations=0 54 total number of function/gradient evaluations=1 55 using variable bounds 56 Termination reason: SUCCESS 57 KSP Object: (tao_bnk_) 1 MPI process 58 type: stcg 59 maximum iterations=10000, initial guess is zero 60 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 61 left preconditioning 62 using UNPRECONDITIONED norm type for convergence test 63 PC Object: (tao_bnk_) 1 MPI process 64 type: lmvm 65 Mat Object: (tao_bnk_pc_lmvm_) 1 MPI process 66 type: lmvmbfgs 67 rows=48, cols=48 68 Max. storage: 5 69 Used storage: 3 70 Number of updates: 3 71 Number of rejects: 0 72 Number of resets: 0 73 J0: 74 Mat Object: (tao_bnk_pc_lmvm_mat_lmvm_J0_) 1 MPI process 75 type: diagonal 76 rows=48, cols=48 77 Vec Object: 1 MPI process 78 type: seq 79 Rescale type: diagonal 80 Rescale history: 1 81 Rescale params: alpha=1., beta=0.5, rho=1. 82 Rescale convex factor: theta=0.125 83 linear system matrix = precond matrix: 84 Mat Object: 1 MPI process 85 type: submatrix 86 rows=40, cols=40 87 total KSP iterations: 79 88 Active Set subset type: subvec 89 convergence tolerances: gatol=1e-05, grtol=1e-08, steptol=0., gttol=0. 90 Residual in Function/Gradient:=9.00321e-09 91 Objective value=1.50566 92 total number of iterations=4, (max: 50) 93 total number of function/gradient evaluations=89, (max: unlimited) 94 total number of Hessian evaluations=4 95 Solution converged: ||g(X)|| <= gatol 96