1*c4762a1bSJed Brown 2*c4762a1bSJed Brown---- Minimum Surface Area Problem ----- 3*c4762a1bSJed Brownmx: 10 my: 10 4*c4762a1bSJed Brown 5*c4762a1bSJed Browniter = 0, Function value 1.46076, Residual: 0.207785 6*c4762a1bSJed Browniter = 0, Function value 1.43581, Residual: 0.187715 7*c4762a1bSJed Browniter = 1, Function value 1.41867, Residual: 0.0159523 8*c4762a1bSJed Browniter = 2, Function value 1.41847, Residual: 0.000148677 9*c4762a1bSJed Browniter = 3, Function value 1.41847, Residual: < 1.0e-6 10*c4762a1bSJed BrownTao Object: 2 MPI processes 11*c4762a1bSJed Brown type: nls 12*c4762a1bSJed Brown Newton steps: 3 13*c4762a1bSJed Brown BFGS steps: 0 14*c4762a1bSJed Brown Gradient steps: 0 15*c4762a1bSJed Brown TaoLineSearch Object: 2 MPI processes 16*c4762a1bSJed Brown type: more-thuente 17*c4762a1bSJed Brown maximum function evaluations=30 18*c4762a1bSJed Brown tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9 19*c4762a1bSJed Brown total number of function evaluations=0 20*c4762a1bSJed Brown total number of gradient evaluations=0 21*c4762a1bSJed Brown total number of function/gradient evaluations=1 22*c4762a1bSJed Brown Termination reason: 1 23*c4762a1bSJed Brown KSP Object: (tao_nls_) 2 MPI processes 24*c4762a1bSJed Brown type: stcg 25*c4762a1bSJed Brown maximum iterations=15, initial guess is zero 26*c4762a1bSJed Brown tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 27*c4762a1bSJed Brown left preconditioning 28*c4762a1bSJed Brown using UNPRECONDITIONED norm type for convergence test 29*c4762a1bSJed Brown PC Object: (tao_nls_) 2 MPI processes 30*c4762a1bSJed Brown type: bjacobi 31*c4762a1bSJed Brown number of blocks = 2 32*c4762a1bSJed Brown Local solve is same for all blocks, in the following KSP and PC objects: 33*c4762a1bSJed Brown KSP Object: (tao_nls_sub_) 1 MPI processes 34*c4762a1bSJed Brown type: preonly 35*c4762a1bSJed Brown maximum iterations=10000, initial guess is zero 36*c4762a1bSJed Brown tolerances: relative=1e-05, absolute=1e-50, divergence=10000. 37*c4762a1bSJed Brown left preconditioning 38*c4762a1bSJed Brown using NONE norm type for convergence test 39*c4762a1bSJed Brown PC Object: (tao_nls_sub_) 1 MPI processes 40*c4762a1bSJed Brown type: ilu 41*c4762a1bSJed Brown out-of-place factorization 42*c4762a1bSJed Brown 0 levels of fill 43*c4762a1bSJed Brown tolerance for zero pivot 2.22045e-14 44*c4762a1bSJed Brown matrix ordering: natural 45*c4762a1bSJed Brown factor fill ratio given 1., needed 1. 46*c4762a1bSJed Brown Factored matrix follows: 47*c4762a1bSJed Brown Mat Object: 1 MPI processes 48*c4762a1bSJed Brown type: seqaij 49*c4762a1bSJed Brown rows=50, cols=50 50*c4762a1bSJed Brown package used to perform factorization: petsc 51*c4762a1bSJed Brown total: nonzeros=364, allocated nonzeros=364 52*c4762a1bSJed Brown total number of mallocs used during MatSetValues calls=0 53*c4762a1bSJed Brown not using I-node routines 54*c4762a1bSJed Brown linear system matrix = precond matrix: 55*c4762a1bSJed Brown Mat Object: 1 MPI processes 56*c4762a1bSJed Brown type: seqaij 57*c4762a1bSJed Brown rows=50, cols=50 58*c4762a1bSJed Brown total: nonzeros=364, allocated nonzeros=364 59*c4762a1bSJed Brown total number of mallocs used during MatSetValues calls=0 60*c4762a1bSJed Brown not using I-node routines 61*c4762a1bSJed Brown linear system matrix = precond matrix: 62*c4762a1bSJed Brown Mat Object: 2 MPI processes 63*c4762a1bSJed Brown type: mpiaij 64*c4762a1bSJed Brown rows=100, cols=100 65*c4762a1bSJed Brown total: nonzeros=784, allocated nonzeros=784 66*c4762a1bSJed Brown total number of mallocs used during MatSetValues calls=0 67*c4762a1bSJed Brown total KSP iterations: 36 68*c4762a1bSJed Brown convergence tolerances: gatol=0.0001, steptol=0., gttol=0. 69*c4762a1bSJed Brown Residual in Function/Gradient:=2.64235e-08 70*c4762a1bSJed Brown Objective value=1.41847 71*c4762a1bSJed Brown total number of iterations=3, (max: 50) 72*c4762a1bSJed Brown total number of function/gradient evaluations=10, (max: 4000) 73*c4762a1bSJed Brown total number of Hessian evaluations=4 74*c4762a1bSJed Brown Solution converged: ||g(X)|| <= gatol 75