16-Dec-2018 08:56:42 CONTINUATION_TEST MATLAB version Test the CONTINUATION library. NEWTON_TEST Demonstrate the NEWTON function for continuation. Starting X0: 1: 0.5 2: -2 ||F(X0)|| = 3.25 Solution X: 1: 0.5 2: -0.866026 ||F(X)|| = 1.08217e-06 TANGENT_TEST Demonstrate the TANGENT function for continuation. At a point X, using continuation parameter P, compute the tangent vector of unit norm. Index of current continuation parameter P = 1 Current point X: 1: 0.5 2: -0.866025 Unit tangent vector T2: 1: 0.866025 2: 0.5 Index of next continuation parameter P2 = 1 STEP_TEST Demonstrate the STEP function for continuation. Starting X0: 1: 0.5 2: -0.866025 ||F(X0)|| = 1.11022e-16 Suggested stepsize H = 0.1 Solution X2: 1: 0.586603 2: -0.809875 ||F(X)|| = 5.3721e-10 0 0.5 -2 3.25e+00 1 0.5 -0.866026 1.08e-06 2 0.629904 -0.776673 1.70e-08 3 0.746405 -0.665492 4.17e-08 4 0.846229 -0.53282 1.50e-07 Switching parameters from 1 to 2 5 0.913924 -0.405886 6.52e-09 6 0.963197 -0.268797 4.78e-09 7 0.992242 -0.124318 4.01e-09 8 0.999699 0.0245187 3.84e-09 9 0.984662 0.174474 4.20e-09 10 0.946681 0.322173 5.29e-09 11 0.885744 0.464175 7.84e-09 12 0.802214 0.597037 1.40e-08 13 0.696694 0.717369 3.20e-08 14 0.569671 0.821873 1.02e-07 Switching parameters from 2 to 1 15 0.44639 0.894838 7.38e-09 16 0.312165 0.950028 5.18e-09 17 0.16966 0.985503 4.17e-09 18 0.0218351 0.999762 3.84e-09 19 -0.128129 0.991757 4.02e-09 20 -0.276893 0.960901 4.85e-09 21 -0.421028 0.907048 6.81e-09 22 -0.557085 0.830455 1.14e-08 23 -0.681653 0.731675 2.40e-08 24 -0.791405 0.611293 6.82e-08 25 -0.883099 0.469188 3.08e-07 Switching parameters from 1 to 2 26 -0.941604 0.336723 5.46e-09 27 -0.980707 0.195483 4.30e-09 28 -0.998829 0.0483764 3.86e-09 29 -0.994841 -0.101448 3.95e-09 30 -0.968072 -0.250674 4.64e-09 31 -0.9183 -0.395885 6.33e-09 32 -0.845718 -0.53363 1.03e-08 33 -0.750837 -0.660488 2.07e-08 34 -0.634268 -0.773113 5.51e-08 35 -0.496121 -0.868253 2.25e-07 Switching parameters from 2 to 1 Plot file saved as "circle_test.png" CONTINUATION_TEST Normal end of execution. 16-Dec-2018 08:56:42