1 2---- Minimum Surface Area Problem ----- 3mx: 10 my: 10 4 5iter = 0, Function value 1.46076, Residual: 0.207785 6iter = 0, Function value 1.43581, Residual: 0.187715 7iter = 1, Function value 1.41867, Residual: 0.0159523 8iter = 2, Function value 1.41847, Residual: 0.000148677 9iter = 3, Function value 1.41847, Residual: < 1.0e-6 10Tao Object: 2 MPI processes 11 type: nls 12 Newton steps: 3 13 BFGS steps: 0 14 Gradient steps: 0 15 TaoLineSearch Object: 2 MPI processes 16 type: more-thuente 17 maximum function evaluations=30 18 tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 19 total number of function evaluations=0 20 total number of gradient evaluations=0 21 total number of function/gradient evaluations=1 22 Termination reason: 1 23 KSP Object: (tao_nls_) 2 MPI processes 24 type: stcg 25 maximum iterations=15, initial guess is zero 26 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 27 left preconditioning 28 using UNPRECONDITIONED norm type for convergence test 29 PC Object: (tao_nls_) 2 MPI processes 30 type: bjacobi 31 number of blocks = 2 32 Local solver information for first block is in the following KSP and PC objects on rank 0: 33 Use -tao_nls_ksp_view ::ascii_info_detail to display information for all blocks 34 KSP Object: (tao_nls_sub_) 1 MPI process 35 type: preonly 36 maximum iterations=10000, initial guess is zero 37 tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 38 left preconditioning 39 using NONE norm type for convergence test 40 PC Object: (tao_nls_sub_) 1 MPI process 41 type: ilu 42 out-of-place factorization 43 0 levels of fill 44 tolerance for zero pivot 2.22045e-14 45 matrix ordering: natural 46 factor fill ratio given 1., needed 1. 47 Factored matrix follows: 48 Mat Object: (tao_nls_sub_) 1 MPI process 49 type: seqaij 50 rows=50, cols=50 51 package used to perform factorization: petsc 52 total: nonzeros=364, allocated nonzeros=364 53 not using I-node routines 54 linear system matrix = precond matrix: 55 Mat Object: (tao_nls_sub_) 1 MPI process 56 type: seqaij 57 rows=50, cols=50 58 total: nonzeros=364, allocated nonzeros=364 59 total number of mallocs used during MatSetValues calls=0 60 not using I-node routines 61 linear system matrix = precond matrix: 62 Mat Object: 2 MPI processes 63 type: mpiaij 64 rows=100, cols=100 65 total: nonzeros=784, allocated nonzeros=784 66 total number of mallocs used during MatSetValues calls=0 67 total KSP iterations: 36 68 convergence tolerances: gatol=0.0001, steptol=0., gttol=0. 69 Residual in Function/Gradient:=2.64235e-08 70 Objective value=1.41847 71 total number of iterations=3, (max: 50) 72 total number of function evaluations=5, max: 4000 73 total number of function/gradient evaluations=5, (max: 4000) 74 total number of Hessian evaluations=4 75 Solution converged: ||g(X)|| <= gatol 76