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 6iter = 1, Function value 1.52082, Residual: 0.221251 7iter = 2, Function value 1.50587, Residual: 0.0266265 8iter = 3, Function value 1.50566, Residual: 0.000666715 9iter = 4, Function value 1.50566, Residual: < 1.0e-6 10Tao Object: 1 MPI processes 11 type: bntl 12 Rejected BFGS updates: 0 13 CG steps: 0 14 Newton steps: 4 15 BFGS steps: 0 16 Scaled gradient steps: 0 17 Gradient steps: 0 18 KSP termination reasons: 19 atol: 0 20 rtol: 3 21 ctol: 1 22 negc: 0 23 dtol: 0 24 iter: 0 25 othr: 0 26 TaoLineSearch Object: 1 MPI processes 27 type: more-thuente 28 maximum function evaluations=30 29 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 30 total number of function evaluations=0 31 total number of gradient evaluations=0 32 total number of function/gradient evaluations=0 33 using variable bounds 34 Termination reason: 0 35 KSP Object: (tao_bnk_) 1 MPI processes 36 type: stcg 37 maximum iterations=10000, initial guess is zero 38 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 39 left preconditioning 40 using UNPRECONDITIONED norm type for convergence test 41 PC Object: (tao_bnk_) 1 MPI processes 42 type: lmvm 43 Mat Object: (pc_lmvm_) 1 MPI processes 44 type: lmvmbfgs 45 rows=48, cols=48 46 Scale type: DIAGONAL 47 Scale history: 1 48 Scale params: alpha=1., beta=0.5, rho=1. 49 Convex factors: phi=0., theta=0.125 50 Max. storage: 5 51 Used storage: 4 52 Number of updates: 4 53 Number of rejects: 0 54 Number of resets: 0 55 Mat Object: (J0_) 1 MPI processes 56 type: lmvmdiagbroyden 57 rows=48, cols=48 58 Scale history: 1 59 Scale params: alpha=1., beta=0.5, rho=1. 60 Convex factor: theta=0.125 61 Max. storage: 1 62 Used storage: 1 63 Number of updates: 4 64 Number of rejects: 0 65 Number of resets: 0 66 linear system matrix = precond matrix: 67 Mat Object: 1 MPI processes 68 type: seqaij 69 rows=40, cols=40 70 total: nonzeros=190, allocated nonzeros=190 71 total number of mallocs used during MatSetValues calls=0 72 not using I-node routines 73 total KSP iterations: 61 74 Active Set subset type: subvec 75 convergence tolerances: gatol=1e-05, steptol=0., gttol=0. 76 Residual in Function/Gradient:=7.77402e-07 77 Objective value=1.50566 78 total number of iterations=4, (max: 50) 79 total number of function/gradient evaluations=15, (max: 4000) 80 total number of Hessian evaluations=5 81 Solution converged: ||g(X)|| <= gatol 82