1 2---- Minimum Surface Area With Plate Problem ----- 3mx:8, my:8, bmx:2, bmy:5, height:0.3 4iter = 0, Function value 1.83917, Residual: 0.44807 5iter = 1, Function value 1.79522, Residual: 0.58077 6iter = 2, Function value 1.68677, Residual: 0.332042 7iter = 3, Function value 1.65405, Residual: 0.477018 8iter = 4, Function value 1.61302, Residual: 0.142922 9iter = 5, Function value 1.60888, Residual: 0.0809677 10iter = 6, Function value 1.60667, Residual: 0.0648005 11iter = 7, Function value 1.60351, Residual: 0.0601214 12iter = 8, Function value 1.60249, Residual: 0.066145 13iter = 9, Function value 1.60164, Residual: 0.0368939 14iter = 10, Function value 1.60133, Residual: 0.0252556 15iter = 11, Function value 1.6012, Residual: 0.0137144 16iter = 12, Function value 1.60116, Residual: 0.00557861 17iter = 13, Function value 1.60115, Residual: 0.00396689 18iter = 14, Function value 1.60115, Residual: 0.00147233 19iter = 15, Function value 1.60115, Residual: 0.00119981 20iter = 16, Function value 1.60115, Residual: 0.00101585 21iter = 17, Function value 1.60115, Residual: 0.00139896 22iter = 18, Function value 1.60115, Residual: 0.000311967 23iter = 19, Function value 1.60115, Residual: 0.000165684 24iter = 20, Function value 1.60115, Residual: 0.000124522 25iter = 21, Function value 1.60115, Residual: 0.000148965 26iter = 22, Function value 1.60115, Residual: 5.30587e-05 27Tao Object: 1 MPI process 28 type: bqnkls 29 Tao Object: (tao_bnk_cg_) 1 MPI process 30 type: bncg 31 CG Type: ssml_bfgs 32 Skipped Stepdirection Updates: 0 33 Scaled gradient steps: 0 34 Pure gradient steps: 0 35 Not a descent direction: 0 36 Line search fails: 0 37 Matrix has not been preallocated yet 38 TaoLineSearch Object: (tao_bnk_cg_) 1 MPI process 39 type: more-thuente 40 maximum function evaluations=30 41 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 42 total number of function evaluations=0 43 total number of gradient evaluations=0 44 total number of function/gradient evaluations=0 45 Termination reason: CONTINUE_ITERATING 46 Active Set subset type: subvec 47 convergence tolerances: gatol=1e-08, grtol=1e-08, steptol=0., gttol=0. 48 Residual in Function/Gradient:=0. 49 Objective value=0. 50 total number of iterations=0, (max: 2000) 51 Solver never run 52 Rejected BFGS updates: 0 53 CG steps: 0 54 Newton steps: 22 55 BFGS steps: 0 56 Scaled gradient steps: 0 57 Gradient steps: 0 58 KSP termination reasons: 59 atol: 0 60 rtol: 22 61 ctol: 0 62 negc: 0 63 dtol: 0 64 iter: 0 65 othr: 0 66 Mat Object: (tao_bqnk_) 1 MPI process 67 type: lmvmbfgs 68 rows=64, cols=64 69 Max. storage: 5 70 Used storage: 5 71 Number of updates: 21 72 Number of rejects: 0 73 Number of resets: 0 74 J0: 75 Mat Object: (tao_bqnk_mat_lmvm_J0_) 1 MPI process 76 type: diagonal 77 rows=64, cols=64 78 Vec Object: 1 MPI process 79 type: seq 80 Rescale type: diagonal 81 Rescale history: 1 82 Rescale params: alpha=1., beta=0.5, rho=1. 83 Rescale convex factor: theta=0.125 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_bqnk_) 1 MPI process 102 type: lmvmbfgs 103 rows=64, cols=64 104 Max. storage: 5 105 Used storage: 5 106 Number of updates: 21 107 Number of rejects: 0 108 Number of resets: 0 109 J0: 110 Mat Object: (tao_bqnk_mat_lmvm_J0_) 1 MPI process 111 type: diagonal 112 rows=64, cols=64 113 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: submatrix 122 rows=52, cols=52 123 total KSP iterations: 61 124 Active Set subset type: subvec 125 convergence tolerances: gatol=0.0001, grtol=1e-08, steptol=0., gttol=0. 126 Residual in Function/Gradient:=5.30587e-05 127 Objective value=1.60115 128 total number of iterations=22, (max: 50) 129 total number of function/gradient evaluations=25, (max: unlimited) 130 Solution converged: ||g(X)|| <= gatol 131