1 2---- Minimum Surface Area Problem ----- 3mx: 10 my: 8 4 5iter = 0, Function value 1.45591, Residual: 0.21372 6iter = 1, Function value 1.43049, Residual: 0.132023 7iter = 2, Function value 1.42069, Residual: 0.0887699 8iter = 3, Function value 1.41857, Residual: 0.0676407 9iter = 4, Function value 1.41781, Residual: 0.0161113 10iter = 5, Function value 1.41776, Residual: 0.00313094 11iter = 6, Function value 1.41776, Residual: 0.00280956 12iter = 7, Function value 1.41776, Residual: 0.000935101 13Tao Object: 1 MPI process 14 type: lmvm 15 Gradient steps: 1 16 LMVM Matrix: 17 Mat Object: (tao_lmvm_) 1 MPI process 18 type: lmvmbfgs 19 Max. storage: 5 20 Used storage: 5 21 Number of updates: 6 22 Number of rejects: 0 23 Number of resets: 1 24 J0: 25 Mat Object: (tao_lmvm_mat_lmvm_J0_) 1 MPI process 26 type: diagonal 27 rows=80, cols=80 28 Vec Object: 1 MPI process 29 type: seq 30 Rescale type: diagonal 31 Rescale history: 1 32 Rescale params: alpha=1., beta=0.5, rho=1. 33 Rescale convex factor: theta=0.125 34 TaoLineSearch Object: 1 MPI process 35 type: more-thuente 36 maximum function evaluations=30 37 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 38 total number of function evaluations=0 39 total number of gradient evaluations=0 40 total number of function/gradient evaluations=1 41 Termination reason: 1 42 convergence tolerances: gatol=0.001, grtol=1e-08, steptol=0., gttol=0. 43 Residual in Function/Gradient:=0.000935101 44 Objective value=1.41776 45 total number of iterations=7, (max: 2000) 46 total number of function/gradient evaluations=8, (max: 4000) 47 Solution converged: ||g(X)|| <= gatol 48