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 1.50673, Residual: 0.0503806 14 iter = 3, Function value 1.50629, Residual: 0.0253068 15iter = 2, Function value 1.50583, Residual: 0.0192543 16 iter = 0, Function value 1.50583, Residual: 0.0192543 17 iter = 1, Function value 1.50578, Residual: 0.0190568 18 iter = 2, Function value 1.50573, Residual: 0.00800704 19 iter = 3, Function value 1.50569, Residual: 0.00748069 20iter = 3, Function value 1.50566, Residual: 6.63642e-05 21 iter = 0, Function value 1.50566, Residual: 6.63642e-05 22 iter = 1, Function value 1.50566, Residual: 8.18996e-05 23 iter = 2, Function value 1.50566, Residual: 2.45135e-05 24 iter = 3, Function value 1.50566, Residual: 1.5701e-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 Max. storage: 1 40 Used storage: 1 41 Number of updates: 8 42 Number of rejects: 0 43 Number of resets: 4 44 J0: 45 Mat Object: (tao_bnk_cg_tao_bncg_mat_lmvm_J0_) 1 MPI process 46 type: diagonal 47 rows=48, cols=48 48 Vec Object: 1 MPI process 49 type: seq 50 Rescale type: diagonal 51 Rescale history: 1 52 Rescale params: alpha=1., beta=0.5, rho=1. 53 Rescale convex factor: theta=0. 54 TaoLineSearch Object: (tao_bnk_cg_) 1 MPI process 55 type: more-thuente 56 maximum function evaluations=30 57 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 58 total number of function evaluations=0 59 total number of gradient evaluations=0 60 total number of function/gradient evaluations=1 61 using variable bounds 62 Termination reason: SUCCESS 63 Active Set subset type: subvec 64 convergence tolerances: gatol=1e-05, grtol=1e-08, steptol=0., gttol=0. 65 Residual in Function/Gradient:=1.5701e-05 66 Objective value=1.50566 67 total number of iterations=3, (max: 3) 68 total number of function/gradient evaluations=6, (max: 4000) 69 Solver failed: Maximum Iterations 70 Rejected BFGS updates: 0 71 CG steps: 12 72 Newton steps: 3 73 BFGS steps: 0 74 Scaled gradient steps: 1 75 Gradient steps: 0 76 KSP termination reasons: 77 atol: 0 78 rtol: 3 79 ctol: 1 80 negc: 0 81 dtol: 0 82 iter: 0 83 othr: 0 84 TaoLineSearch Object: 1 MPI process 85 type: more-thuente 86 maximum function evaluations=30 87 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 88 total number of function evaluations=0 89 total number of gradient evaluations=0 90 total number of function/gradient evaluations=1 91 using variable bounds 92 Termination reason: SUCCESS 93 KSP Object: (tao_bnk_) 1 MPI process 94 type: stcg 95 maximum iterations=10000, initial guess is zero 96 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 97 left preconditioning 98 using UNPRECONDITIONED norm type for convergence test 99 PC Object: (tao_bnk_) 1 MPI process 100 type: lmvm 101 Mat Object: (tao_bnk_pc_lmvm_) 1 MPI process 102 type: lmvmbfgs 103 rows=48, cols=48 104 Max. storage: 5 105 Used storage: 3 106 Number of updates: 3 107 Number of rejects: 0 108 Number of resets: 1 109 J0: 110 Mat Object: (tao_bnk_pc_lmvm_mat_lmvm_J0_) 1 MPI process 111 type: diagonal 112 rows=48, cols=48 113 Vec Object: 1 MPI process 114 type: seq 115 Rescale type: diagonal 116 Rescale history: 1 117 Rescale params: alpha=1., beta=0.5, rho=1. 118 Rescale convex factor: theta=0.125 119 linear system matrix = precond matrix: 120 Mat Object: 1 MPI process 121 type: seqaij 122 rows=40, cols=40 123 total: nonzeros=228, allocated nonzeros=228 124 total number of mallocs used during MatSetValues calls=0 125 not using I-node routines 126 total KSP iterations: 60 127 Active Set subset type: subvec 128 convergence tolerances: gatol=1e-05, grtol=1e-08, steptol=0., gttol=0. 129 Residual in Function/Gradient:=1.51576e-08 130 Objective value=1.50566 131 total number of iterations=4, (max: 50) 132 total number of function/gradient evaluations=35, (max: unlimited) 133 total number of Hessian evaluations=4 134 Solution converged: ||g(X)|| <= gatol 135