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 = 0, Function value 1.57687, Residual: 0.447462 6 iter = 0, Function value 1.57687, Residual: 0.447462 7 iter = 1, Function value 1.53574, Residual: 0.222622 8 iter = 2, Function value 1.51391, Residual: 0.187842 9 iter = 3, Function value 1.51012, Residual: 0.110361 10iter = 1, Function value 1.50567, Residual: 0.00326476 11 iter = 0, Function value 1.50567, Residual: 0.00326476 12 iter = 1, Function value 1.50567, Residual: 0.00332264 13 iter = 2, Function value 1.50567, Residual: 0.00464672 14 iter = 3, Function value 1.50566, Residual: 0.00127873 15iter = 2, Function value 1.50566, Residual: 1.26759e-06 16Tao Object: 1 MPI process 17 type: bntl 18 Tao Object: (tao_bnk_cg_) 1 MPI process 19 type: bncg 20 CG Type: ssml_bfgs 21 Skipped Stepdirection Updates: 1 22 Scaled gradient steps: 0 23 Pure gradient steps: 0 24 Not a descent direction: 0 25 Line search fails: 0 26 Mat Object: (tao_bnk_cg_tao_bncg_) 1 MPI process 27 type: lmvmdiagbroyden 28 rows=48, cols=48 29 Max. storage: 1 30 Used storage: 1 31 Number of updates: 3 32 Number of rejects: 0 33 Number of resets: 2 34 J0: 35 Mat Object: (tao_bnk_cg_tao_bncg_mat_lmvm_J0_) 1 MPI process 36 type: diagonal 37 rows=48, cols=48 38 Vec Object: 1 MPI process 39 type: seq 40 Rescale type: diagonal 41 Rescale history: 1 42 Rescale params: alpha=1., beta=0.5, rho=1. 43 Rescale convex factor: theta=0. 44 TaoLineSearch Object: (tao_bnk_cg_) 1 MPI process 45 type: more-thuente 46 maximum function evaluations=30 47 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 48 total number of function evaluations=0 49 total number of gradient evaluations=0 50 total number of function/gradient evaluations=1 51 using variable bounds 52 Termination reason: 1 53 Active Set subset type: subvec 54 convergence tolerances: gatol=1e-05, grtol=1e-08, steptol=0., gttol=0. 55 Residual in Function/Gradient:=0.00127873 56 Objective value=1.50566 57 total number of iterations=3, (max: 3) 58 total number of function/gradient evaluations=7, (max: 4000) 59 Solver failed: Maximum Iterations 60 Rejected BFGS updates: 0 61 CG steps: 6 62 Newton steps: 2 63 BFGS steps: 0 64 Scaled gradient steps: 0 65 Gradient steps: 0 66 KSP termination reasons: 67 atol: 0 68 rtol: 2 69 ctol: 0 70 negc: 0 71 dtol: 0 72 iter: 0 73 othr: 0 74 TaoLineSearch Object: 1 MPI process 75 type: more-thuente 76 maximum function evaluations=30 77 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 78 total number of function evaluations=0 79 total number of gradient evaluations=0 80 total number of function/gradient evaluations=0 81 using variable bounds 82 Termination reason: 0 83 KSP Object: (tao_bnk_) 1 MPI process 84 type: stcg 85 maximum iterations=10000, initial guess is zero 86 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 87 left preconditioning 88 using UNPRECONDITIONED norm type for convergence test 89 PC Object: (tao_bnk_) 1 MPI process 90 type: lmvm 91 Mat Object: (tao_bnk_pc_lmvm_) 1 MPI process 92 type: lmvmbfgs 93 rows=48, cols=48 94 Max. storage: 5 95 Used storage: 2 96 Number of updates: 2 97 Number of rejects: 0 98 Number of resets: 0 99 J0: 100 Mat Object: (tao_bnk_pc_lmvm_mat_lmvm_J0_) 1 MPI process 101 type: diagonal 102 rows=48, cols=48 103 Vec Object: 1 MPI process 104 type: seq 105 Rescale type: diagonal 106 Rescale history: 1 107 Rescale params: alpha=1., beta=0.5, rho=1. 108 Rescale convex factor: theta=0.125 109 linear system matrix = precond matrix: 110 Mat Object: 1 MPI process 111 type: seqaij 112 rows=40, cols=40 113 total: nonzeros=228, allocated nonzeros=228 114 total number of mallocs used during MatSetValues calls=0 115 not using I-node routines 116 total KSP iterations: 39 117 Active Set subset type: subvec 118 convergence tolerances: gatol=1e-05, grtol=1e-08, steptol=0., gttol=0. 119 Residual in Function/Gradient:=1.26759e-06 120 Objective value=1.50566 121 total number of iterations=2, (max: 50) 122 total number of function/gradient evaluations=25, (max: unlimited) 123 total number of Hessian evaluations=3 124 Solution converged: ||g(X)|| <= gatol 125