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 5 iter = 0, Function value 1.67039, Residual: 0.47529 6 iter = 0, Function value 1.57666, Residual: 0.422933 7 iter = 1, Function value 1.5357, Residual: 0.235251 8 iter = 2, Function value 1.52086, Residual: 0.15742 9 iter = 3, Function value 1.51361, Residual: 0.261202 10iter = 1, Function value 1.50846, Residual: 0.0892734 11 iter = 0, Function value 1.50846, Residual: 0.0892734 12 iter = 1, Function value 1.50774, Residual: 0.122322 13 iter = 2, Function value 1.50674, Residual: 0.0501668 14 iter = 3, Function value 1.50628, Residual: 0.0251461 15iter = 2, Function value 1.50583, Residual: 0.0201038 16 iter = 0, Function value 1.50583, Residual: 0.0201038 17 iter = 1, Function value 1.50578, Residual: 0.0166168 18 iter = 2, Function value 1.50573, Residual: 0.0201163 19 iter = 3, Function value 1.50569, Residual: 0.0100951 20iter = 3, Function value 1.50566, Residual: 6.45547e-05 21 iter = 0, Function value 1.50566, Residual: 6.45547e-05 22 iter = 1, Function value 1.50566, Residual: 9.87536e-05 23 iter = 2, Function value 1.50566, Residual: 4.96751e-05 24 iter = 3, Function value 1.50566, Residual: 1.98677e-05 25iter = 4, Function value 1.50566, Residual: < 1.0e-6 26Tao Object: 1 MPI process 27 type: bnls 28 Tao Object: (tao_bnk_cg_) 1 MPI process 29 type: bncg 30 CG Type: ssml_bfgs 31 Skipped Stepdirection Updates: 1 32 Scaled gradient steps: 0 33 Pure gradient steps: 0 34 Not a descent direction: 0 35 Line search fails: 0 36 Mat Object: (tao_bnk_cg_tao_bncg_) 1 MPI process 37 type: lmvmdiagbroyden 38 rows=48, cols=48 39 Scale history: 1 40 Scale params: alpha=1., beta=0.5, rho=1. 41 Convex factor: theta=0. 42 Max. storage: 1 43 Used storage: 1 44 Number of updates: 8 45 Number of rejects: 0 46 Number of resets: 4 47 TaoLineSearch Object: (tao_bnk_cg_) 1 MPI process 48 type: more-thuente 49 maximum function evaluations=30 50 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 51 total number of function evaluations=0 52 total number of gradient evaluations=0 53 total number of function/gradient evaluations=1 54 using variable bounds 55 Termination reason: 1 56 Active Set subset type: subvec 57 convergence tolerances: gatol=1e-05, steptol=0., gttol=0. 58 Residual in Function/Gradient:=1.98677e-05 59 Objective value=1.50566 60 total number of iterations=3, (max: 3) 61 total number of function/gradient evaluations=6, (max: 4000) 62 Solver terminated: -2 Maximum Iterations 63 Rejected BFGS updates: 0 64 CG steps: 12 65 Newton steps: 3 66 BFGS steps: 0 67 Scaled gradient steps: 1 68 Gradient steps: 0 69 KSP termination reasons: 70 atol: 0 71 rtol: 3 72 ctol: 1 73 negc: 0 74 dtol: 0 75 iter: 0 76 othr: 0 77 TaoLineSearch Object: 1 MPI process 78 type: more-thuente 79 maximum function evaluations=30 80 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 81 total number of function evaluations=0 82 total number of gradient evaluations=0 83 total number of function/gradient evaluations=1 84 using variable bounds 85 Termination reason: 1 86 KSP Object: (tao_bnk_) 1 MPI process 87 type: stcg 88 maximum iterations=10000, initial guess is zero 89 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 90 left preconditioning 91 using UNPRECONDITIONED norm type for convergence test 92 PC Object: (tao_bnk_) 1 MPI process 93 type: lmvm 94 Mat Object: (tao_bnk_pc_lmvm_) 1 MPI process 95 type: lmvmbfgs 96 rows=48, cols=48 97 Scale type: DIAGONAL 98 Scale history: 1 99 Scale params: alpha=1., beta=0.5, rho=1. 100 Convex factors: phi=0., theta=0.125 101 Max. storage: 5 102 Used storage: 3 103 Number of updates: 3 104 Number of rejects: 0 105 Number of resets: 1 106 Mat Object: (tao_bnk_pc_lmvm_J0_) 1 MPI process 107 type: lmvmdiagbroyden 108 rows=48, cols=48 109 Scale history: 1 110 Scale params: alpha=1., beta=0.5, rho=1. 111 Convex factor: theta=0.125 112 Max. storage: 1 113 Used storage: 1 114 Number of updates: 3 115 Number of rejects: 0 116 Number of resets: 1 117 linear system matrix = precond matrix: 118 Mat Object: 1 MPI process 119 type: seqaij 120 rows=40, cols=40 121 total: nonzeros=190, allocated nonzeros=190 122 total number of mallocs used during MatSetValues calls=0 123 not using I-node routines 124 total KSP iterations: 59 125 Active Set subset type: subvec 126 convergence tolerances: gatol=1e-05, steptol=0., gttol=0. 127 Residual in Function/Gradient:=2.07969e-08 128 Objective value=1.50566 129 total number of iterations=4, (max: 50) 130 total number of function/gradient evaluations=35, (max: 4000) 131 total number of Hessian evaluations=4 132 Solution converged: ||g(X)|| <= gatol 133