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 Scale type: DIAGONAL 20 Scale history: 1 21 Scale params: alpha=1., beta=0.5, rho=1. 22 Convex factors: phi=0., theta=0.125 23 Max. storage: 5 24 Used storage: 5 25 Number of updates: 6 26 Number of rejects: 0 27 Number of resets: 1 28 Mat Object: (tao_lmvm_J0_) 1 MPI process 29 type: lmvmdiagbroyden 30 Scale history: 1 31 Scale params: alpha=1., beta=0.5, rho=1. 32 Convex factor: theta=0.125 33 Max. storage: 1 34 Used storage: 1 35 Number of updates: 6 36 Number of rejects: 0 37 Number of resets: 1 38 TaoLineSearch Object: 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=1 45 Termination reason: 1 46 convergence tolerances: gatol=0.001, steptol=0., gttol=0. 47 Residual in Function/Gradient:=0.000935101 48 Objective value=1.41776 49 total number of iterations=7, (max: 2000) 50 total number of function/gradient evaluations=8, (max: 4000) 51 Solution converged: ||g(X)|| <= gatol 52