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 1.50566, Residual: 0.00201118 14 iter = 3, Function value 1.50566, Residual: 0.00125295 15iter = 2, Function value 1.50566, Residual: 1.2998e-06 16Tao Object: 1 MPI process 17 type: bntr 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 Scale history: 1 30 Scale params: alpha=1., beta=0.5, rho=1. 31 Convex factor: theta=0. 32 Max. storage: 1 33 Used storage: 1 34 Number of updates: 3 35 Number of rejects: 0 36 Number of resets: 2 37 TaoLineSearch Object: (tao_bnk_cg_) 1 MPI process 38 type: more-thuente 39 maximum function evaluations=30 40 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 41 total number of function evaluations=0 42 total number of gradient evaluations=0 43 total number of function/gradient evaluations=1 44 using variable bounds 45 Termination reason: 1 46 Active Set subset type: subvec 47 convergence tolerances: gatol=1e-05, steptol=0., gttol=0. 48 Residual in Function/Gradient:=0.00125295 49 Objective value=1.50566 50 total number of iterations=3, (max: 3) 51 total number of function/gradient evaluations=8, (max: 4000) 52 Solver terminated: -2 Maximum Iterations 53 Rejected BFGS updates: 0 54 CG steps: 6 55 Newton steps: 2 56 BFGS steps: 0 57 Scaled gradient steps: 0 58 Gradient steps: 0 59 KSP termination reasons: 60 atol: 0 61 rtol: 2 62 ctol: 0 63 negc: 0 64 dtol: 0 65 iter: 0 66 othr: 0 67 TaoLineSearch Object: 1 MPI process 68 type: more-thuente 69 maximum function evaluations=30 70 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 71 total number of function evaluations=0 72 total number of gradient evaluations=0 73 total number of function/gradient evaluations=0 74 using variable bounds 75 Termination reason: 0 76 KSP Object: (tao_bnk_) 1 MPI process 77 type: stcg 78 maximum iterations=10000, initial guess is zero 79 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 80 left preconditioning 81 using UNPRECONDITIONED norm type for convergence test 82 PC Object: (tao_bnk_) 1 MPI process 83 type: lmvm 84 Mat Object: (tao_bnk_pc_lmvm_) 1 MPI process 85 type: lmvmbfgs 86 rows=48, cols=48 87 Scale type: DIAGONAL 88 Scale history: 1 89 Scale params: alpha=1., beta=0.5, rho=1. 90 Convex factors: phi=0., theta=0.125 91 Max. storage: 5 92 Used storage: 2 93 Number of updates: 2 94 Number of rejects: 0 95 Number of resets: 0 96 Mat Object: (tao_bnk_pc_lmvm_J0_) 1 MPI process 97 type: lmvmdiagbroyden 98 rows=48, cols=48 99 Scale history: 1 100 Scale params: alpha=1., beta=0.5, rho=1. 101 Convex factor: theta=0.125 102 Max. storage: 1 103 Used storage: 1 104 Number of updates: 2 105 Number of rejects: 0 106 Number of resets: 0 107 linear system matrix = precond matrix: 108 Mat Object: 1 MPI process 109 type: seqaij 110 rows=40, cols=40 111 total: nonzeros=190, allocated nonzeros=190 112 total number of mallocs used during MatSetValues calls=0 113 not using I-node routines 114 total KSP iterations: 39 115 Active Set subset type: subvec 116 convergence tolerances: gatol=1e-05, steptol=0., gttol=0. 117 Residual in Function/Gradient:=1.2998e-06 118 Objective value=1.50566 119 total number of iterations=2, (max: 50) 120 total number of function/gradient evaluations=26, (max: 4000) 121 total number of Hessian evaluations=3 122 Solution converged: ||g(X)|| <= gatol 123