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 processes 27 type: bnls 28 Rejected BFGS updates: 0 29 CG steps: 12 30 Newton steps: 3 31 BFGS steps: 0 32 Scaled gradient steps: 1 33 Gradient steps: 0 34 KSP termination reasons: 35 atol: 0 36 rtol: 3 37 ctol: 1 38 negc: 0 39 dtol: 0 40 iter: 0 41 othr: 0 42 TaoLineSearch Object: 1 MPI processes 43 type: more-thuente 44 maximum function evaluations=30 45 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 46 total number of function evaluations=0 47 total number of gradient evaluations=0 48 total number of function/gradient evaluations=1 49 using variable bounds 50 Termination reason: 1 51 KSP Object: (tao_bnk_) 1 MPI processes 52 type: stcg 53 maximum iterations=10000, initial guess is zero 54 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 55 left preconditioning 56 using UNPRECONDITIONED norm type for convergence test 57 PC Object: (tao_bnk_) 1 MPI processes 58 type: lmvm 59 Mat Object: (pc_lmvm_) 1 MPI processes 60 type: lmvmbfgs 61 rows=48, cols=48 62 Scale type: diagonal 63 Scale history: 1 64 Scale params: alpha=1., beta=0.5, rho=1. 65 Convex factors: phi=0., theta=0.125 66 Max. storage: 5 67 Used storage: 3 68 Number of updates: 3 69 Number of rejects: 0 70 Number of resets: 1 71 Mat Object: (J0_) 1 MPI processes 72 type: lmvmdiagbrdn 73 rows=48, cols=48 74 Scale history: 1 75 Scale params: alpha=1., beta=0.5, rho=1. 76 Convex factor: theta=0.125 77 Max. storage: 1 78 Used storage: 1 79 Number of updates: 3 80 Number of rejects: 0 81 Number of resets: 1 82 linear system matrix = precond matrix: 83 Mat Object: 1 MPI processes 84 type: seqaij 85 rows=40, cols=40 86 total: nonzeros=190, allocated nonzeros=190 87 total number of mallocs used during MatSetValues calls=0 88 not using I-node routines 89 total KSP iterations: 59 90 Active Set subset type: subvec 91 convergence tolerances: gatol=1e-05, steptol=0., gttol=0. 92 Residual in Function/Gradient:=2.07969e-08 93 Objective value=1.50566 94 total number of iterations=4, (max: 50) 95 total number of function/gradient evaluations=35, (max: 4000) 96 total number of Hessian evaluations=4 97 Solution converged: ||g(X)|| <= gatol 98