NEWNON 15 December 1992 An interactive program for solving systems of nonlinear equations. Command? (H for help) Enter name of variable to set (h for help) 0 = print out only result of iteration. 1 = print norms of x, f(x) and delta x. 2 = print x, f(x) and delta x Printout level set to 2 Enter name of variable to set (h for help) Set the damping option. 0 = no damping, 1 = repeated halving of Newton step 2 = strong damping. Damping option chosen was 0 Enter name of variable to set (h for help) Command? (H for help) step x fx step Mat Det error log(e-norm) 0 -1.20000 2.20 2.20 0.342 1.00000 -4.40 0.000E+00 2.20 new -10.0 -4.84 1 1.00000 0.000E+00 0.000E+00 0.685 -3.84000 -48.4 4.84 Bad step!. A norm increased. 0.000E+00 new -10.0 4.84 2 1.00000 0.000E+00 0.000E+00 0.000E+00 1.00000 0.000E+00 0.000E+00 Iteration halted, point accepted. Command? (H for help) The previous iteration is now cancelled. You may now iterate with the "I" command. Command? (H for help) Enter name of variable to set (h for help) Set the damping option. 0 = no damping, 1 = repeated halving of Newton step 2 = strong damping. Damping option chosen was 1 Enter name of variable to set (h for help) Command? (H for help) step x fx step Mat Det damping error log(e-norm) 0 -1.20000 2.20 2.20000 0.342 1.00000 -4.40 0.000000E+00 2.20 new -10.0 1.00 -4.84 1 1.00000 0.000E+00 0.000000E+00 0.685 -3.84000 -48.4 4.84000 1.10 old -10.0 0.500 -2.42 2 -0.650000 1.65 1.65000 0.217 -0.210000 -6.32 1.21000 0.550 old -10.0 0.250 -1.21 3 -1.06250 2.06 2.06250 0.314 0.697500 -4.31 0.302500 0.275 old -10.0 0.125 -0.605 4 -1.16563 2.17 2.16563 0.336 0.924375 -4.34 0.756250E-01 0.138 old -10.0 0.625E-01 -0.302 5 -1.19141 2.19 2.19141 0.341 0.981094 -4.38 0.189062E-01 0.688E-01 old -10.0 0.313E-01 -0.151 6 -1.19785 2.20 2.19785 0.342 0.995273 -4.40 0.472659E-02 Bad step!. A norm increased. 2.20 new -10.0 1.00 -4.83 7 1.00000 0.000E+00 0.000000E+00 0.684 -3.83055 -48.3 4.83055 1.10 old -10.0 0.500 -2.41 8 -0.648389 1.65 1.64839 0.217 -0.211183 -6.32 1.21118 0.549 old -10.0 0.250 -1.21 9 -1.06049 2.06 2.06049 0.314 0.693659 -4.31 0.306341 0.275 old -10.0 0.125 -0.603 10 -1.16351 2.16 2.16351 0.335 0.919870 -4.34 0.801301E-01 Bad step!. A norm increased. Maximum number of steps taken. Use the I command to continue iteration. Command? (H for help) The previous iteration is now cancelled. You may now iterate with the "I" command. Command? (H for help) Enter name of variable to set (h for help) Set the damping option. 0 = no damping, 1 = repeated halving of Newton step 2 = strong damping. Damping option chosen was 2 Enter name of variable to set (h for help) Command? (H for help) step x fx step Mat Det damping error log(e-norm) 0 -1.20000 2.20 2.20000 0.342 1.00000 -4.40 0.000000E+00 2.20 new -10.0 1.00 -4.84 1 1.00000 0.000E+00 0.000000E+00 0.685 -3.84000 -48.4 4.84000 0.227E-06 old -10.0 0.103E-06 -0.500E-06 2 -1.20000 2.20 2.20000 0.342 1.00000 -4.40 0.000000E+00 Bad step!. A norm increased. 2.20 new -10.0 1.00 -4.84 3 1.00000 0.000E+00 0.000000E+00 0.685 -3.84000 -48.4 4.84000 0.227E-06 old -10.0 0.103E-06 -0.500E-06 4 -1.20000 2.20 2.20000 0.342 1.00000 -4.40 0.000000E+00 2.20 new -10.0 1.00 -4.84 5 1.00000 0.000E+00 0.000000E+00 0.685 -3.84000 -48.4 4.84000 0.227E-06 old -10.0 0.103E-06 -0.500E-06 6 -1.20000 2.20 2.20000 0.342 1.00000 -4.40 0.000000E+00 2.20 new -10.0 1.00 -4.84 7 1.00000 0.000E+00 0.000000E+00 0.685 -3.84000 -48.4 4.84000 0.227E-06 old -10.0 0.103E-06 -0.500E-06 8 -1.20000 2.20 2.20000 0.342 1.00000 -4.40 0.000000E+00 2.20 new -10.0 1.00 -4.84 9 1.00000 0.000E+00 0.000000E+00 0.685 -3.84000 -48.4 4.84000 0.227E-06 old -10.0 0.103E-06 -0.500E-06 10 -1.20000 2.20 2.20000 0.342 1.00000 -4.40 0.000000E+00 Maximum number of steps taken. Use the I command to continue iteration. Command? (H for help) NEWNON has been requested to stop.