A. Unconstrained Problem: ****************************************************************************** INITIAL DATA 0.00000000E+00 0.00000000E+00 0.10000000E+01 0.00000000E+00 0.00000000E+00 0.20000000E+00 0.00000000E+00 0.10000000E+01 0.00000000E+00 0.00000000E+00 0.40000000E+00 0.00000000E+00 0.10000000E+01 0.00000000E+00 0.00000000E+00 0.60000000E+00 0.00000000E+00 0.10000000E+01 0.00000000E+00 0.00000000E+00 0.80000000E+00 0.00000000E+00 0.10000000E+01 0.00000000E+00 0.00000000E+00 0.10000000E+01 0.00000000E+00 0.10000000E+01 0.00000000E+00 0.00000000E+00 N= 4 M= 6 MS= 0 PRESCRIBED RELATIVE PRECISION 0.10E-06 MAXIMUM PERMITTED NUMBER OF ITERATIONS 20 ****************************************************************************** IT ABS.ERR. LEVEL1 LEVEL2 LEVEL3 RELAX. NEW COND(M) NORM(M) 0 0.42E+01 0.42E+01 0.42E+01 0.25E+02 0 0.20E+02 0.14E+01 0.41E+01 0.41E+01 0.41E+01 0.24E+02 0.010 1 0.41E+01 0.41E+01 0.41E+01 0.24E+02 1 0.20E+02 0.14E+01 0.49E-26 0.49E-26 0.56E-24 0.24E-23 1.000 2 0.49E-26 0.50E-26 0.56E-24 0.24E-23 2 0.20E+02 0.14E+01 ****************************************************************************** SOLUTION OBTAINED AFTER 3 ITERATION STEPS SOLUTION DATA 0.00000000E+00 0.00000000E+00 0.10000000E+01-0.72423015E-14 0.20000000E+01 0.20000000E+00 0.16000000E+00 0.60000000E+00-0.72423015E-14 0.20000000E+01 0.40000000E+00 0.24000000E+00 0.20000000E+00-0.72423015E-14 0.20000000E+01 0.60000000E+00 0.24000000E+00-0.20000000E+00-0.72423015E-14 0.20000000E+01 0.80000000E+00 0.16000000E+00-0.60000000E+00-0.72423015E-14 0.20000000E+01 0.10000000E+01 0.29113134E-16-0.10000000E+01-0.72423015E-14 0.20000000E+01 ****************************************************************************** t x v Lx Lv Ziel u Ham ***************************************************************************** 0.0000000000E+00 0.0000000000E+00 0.1000000000E+01 -0.7242301507E-14 0.2000000000E+01 0.0000000000E+00 -0.2000000000E+01 -0.2000000000E+01 ***************************************************************************** 0.2000000000E+00 0.1600000000E+00 0.6000000000E+00 -0.7242301507E-14 0.2000000000E+01 0.4000000000E+00 -0.2000000000E+01 -0.2000000000E+01 ***************************************************************************** 0.4000000000E+00 0.2400000000E+00 0.2000000000E+00 -0.7242301507E-14 0.2000000000E+01 0.8000000000E+00 -0.2000000000E+01 -0.2000000000E+01 ***************************************************************************** 0.6000000000E+00 0.2400000000E+00 -0.2000000000E+00 -0.7242301507E-14 0.2000000000E+01 0.1200000000E+01 -0.2000000000E+01 -0.2000000000E+01 ***************************************************************************** 0.8000000000E+00 0.1600000000E+00 -0.6000000000E+00 -0.7242301507E-14 0.2000000000E+01 0.1600000000E+01 -0.2000000000E+01 -0.2000000000E+01 ***************************************************************************** 0.1000000000E+01 0.2363066916E-14 -0.1000000000E+01 -0.7242301507E-14 0.2000000000E+01 0.2000000000E+01 -0.2000000000E+01 -0.2000000000E+01 ***************************************************************************** B. One Contact Point: ****************************************************************************** INITIAL DATA 0.00000000E+00 0.00000000E+00 0.10000000E+01-0.72423015E-14 0.20000000E+01 0.00000000E+00 0.20000000E+00 0.16000000E+00 0.60000000E+00-0.72423015E-14 0.20000000E+01 0.00000000E+00 0.40000000E+00 0.24000000E+00 0.20000000E+00-0.72423015E-14 0.20000000E+01 0.00000000E+00 0.60000000E+00 0.24000000E+00-0.20000000E+00-0.72423015E-14 0.20000000E+01 0.00000000E+00 0.80000000E+00 0.16000000E+00-0.60000000E+00-0.72423015E-14 0.20000000E+01 0.00000000E+00 0.10000000E+01 0.29113134E-16-0.10000000E+01-0.72423015E-14 0.20000000E+01 0.00000000E+00 SWITCHING POINTS 0.30000000E+00 N= 5 M= 6 MS= 1 PRESCRIBED RELATIVE PRECISION 0.10E-06 MAXIMUM PERMITTED NUMBER OF ITERATIONS 20 ****************************************************************************** IT ABS.ERR. LEVEL1 LEVEL2 LEVEL3 RELAX. NEW COND(M) NORM(M) 0 0.16E+00 0.16E+00 0.56E+03 0.22E+04 0 0.27E+03 0.26E+01 0.16E+00 0.16E+00 0.55E+03 0.22E+04 0.010 1 0.16E+00 0.16E+00 0.54E+03 0.21E+04 1 0.27E+03 0.26E+01 0.70E+03 0.69E+03 0.74E+03 0.43E+03 1.000 2 0.70E+03 0.69E+03 0.86E+03 0.64E+03 0 0.13E+04 0.27E+01 0.24E+00 0.34E+00 0.90E+00 0.37E+01 1.000 3 0.24E+00 0.22E+01 0.22E+01 0.18E+00 1 0.29E+04 0.20E+02 0.25E-01 0.24E+00 0.30E+00 0.20E+00 1.000 4 0.25E-01 0.14E+00 0.14E+00 0.29E-01 0 0.99E+03 0.13E+02 0.26E-04 0.21E-04 0.35E-04 0.23E-03 1.000 5 0.26E-04 0.20E-04 0.33E-04 0.23E-03 1 0.98E+03 0.13E+02 0.70E-06 0.55E-06 0.72E-06 0.24E-05 1.000 6 0.70E-06 0.56E-06 0.75E-06 0.26E-05 2 0.10E+04 0.14E+02 0.30E-09 0.11E-08 0.13E-08 0.23E-08 1.000 7 0.30E-09 0.11E-08 0.13E-08 0.23E-08 3 0.10E+04 0.14E+02 0.53E-12 0.77E-12 0.80E-12 0.53E-12 1.000 8 0.53E-12 0.77E-12 0.80E-12 0.54E-12 4 0.10E+04 0.14E+02 0.10E-14 0.23E-14 0.30E-14 0.12E-13 1.000 9 0.10E-14 0.23E-14 0.29E-14 0.10E-13 5 0.97E+03 0.14E+02 ****************************************************************************** SOLUTION OBTAINED AFTER 10 ITERATION STEPS SOLUTION DATA 0.00000000E+00 0.00000000E+00 0.10000000E+01 0.48000000E+01 0.32000000E+01 0.96000000E+01 0.20000000E+00 0.14240000E+00 0.45600000E+00 0.48000000E+01 0.22400000E+01 0.96000000E+01 0.40000000E+00 0.19520000E+00 0.10400000E+00 0.48000000E+01 0.12800000E+01 0.96000000E+01 0.50000000E+00 0.20000000E+00-0.54915090E-09-0.48000000E+01 0.80000000E+00 0.96000000E+01 0.60000000E+00 0.19520000E+00-0.10400000E+00-0.48000000E+01 0.12800000E+01 0.96000000E+01 0.80000000E+00 0.14240000E+00-0.45600000E+00-0.48000000E+01 0.22400000E+01 0.96000000E+01 0.10000000E+01 0.58017490E-16-0.10000000E+01-0.48000000E+01 0.32000000E+01 0.96000000E+01 SWITCHING POINTS 0.50000000E+00 ****************************************************************************** t x v Lx Lv Ziel u Ham ***************************************************************************** 0.0000000000E+00 0.0000000000E+00 0.1000000000E+01 0.4799999997E+01 0.3199999999E+01 0.0000000000E+00 -0.3199999999E+01 -0.3200000016E+00 ***************************************************************************** 0.2000000000E+00 0.1424000000E+00 0.4560000000E+00 0.4799999997E+01 0.2240000000E+01 0.7475199999E+00 -0.2240000000E+01 -0.3200000016E+00 ***************************************************************************** 0.4000000000E+00 0.1952000000E+00 0.1040000000E+00 0.4799999997E+01 0.1280000001E+01 0.1064960000E+01 -0.1280000001E+01 -0.3200000016E+00 ***************************************************************************** 0.5000000005E+00 0.2000000000E+00 -0.5491509034E-09 -0.4800000015E+01 0.7999999987E+00 0.1120000000E+01 -0.7999999987E+00 -0.3199999963E+00 ***************************************************************************** 0.6000000000E+00 0.1952000000E+00 -0.1040000002E+00 -0.4800000015E+01 0.1279999997E+01 0.1175040000E+01 -0.1279999997E+01 -0.3199999931E+00 ***************************************************************************** 0.8000000000E+00 0.1424000000E+00 -0.4559999998E+00 -0.4800000015E+01 0.2240000000E+01 0.1492479999E+01 -0.2240000000E+01 -0.3199999931E+00 ***************************************************************************** 0.1000000000E+01 -0.5544566175E-14 -0.1000000000E+01 -0.4800000015E+01 0.3200000003E+01 0.2240000000E+01 -0.3200000003E+01 -0.3199999931E+00 ***************************************************************************** C. One Boundary Subarc: ****************************************************************************** INITIAL DATA 0.00000000E+00 0.00000000E+00 0.10000000E+01 0.48000000E+01 0.32000000E+01 0.96000000E+01 0.20000000E+00 0.14240000E+00 0.45600000E+00 0.48000000E+01 0.22400000E+01 0.96000000E+01 0.40000000E+00 0.19520000E+00 0.10400000E+00 0.48000000E+01 0.12800000E+01 0.96000000E+01 0.60000000E+00 0.19520000E+00-0.10400000E+00-0.48000000E+01 0.12800000E+01 0.96000000E+01 0.80000000E+00 0.14240000E+00-0.45600000E+00-0.48000000E+01 0.22400000E+01 0.96000000E+01 0.10000000E+01 0.58017490E-16-0.10000000E+01-0.48000000E+01 0.32000000E+01 0.96000000E+01 SWITCHING POINTS 0.40000200E+00 0.60000200E+00 N= 5 M= 6 MS= 2 PRESCRIBED RELATIVE PRECISION 0.10E-06 MAXIMUM PERMITTED NUMBER OF ITERATIONS 20 ****************************************************************************** IT ABS.ERR. LEVEL1 LEVEL2 LEVEL3 RELAX. NEW COND(M) NORM(M) 0 0.49E+02 0.40E+01 0.84E+01 0.26E+02 0 0.38E+03 0.14E+02 0.14E+03 0.81E+01 0.12E+02 0.25E+02 0.010 1 0.14E+03 0.81E+01 0.12E+02 0.20E+02 0 0.37E+03 0.14E+02 0.14E+03 0.77E+01 0.11E+02 0.20E+02 0.021 2 0.14E+03 0.77E+01 0.11E+02 0.20E+02 1 0.38E+03 0.14E+02 0.75E+00 0.45E+00 0.56E+00 0.12E+01 1.000 3 0.75E+00 0.45E+00 0.32E+00 0.73E+00 2 0.54E+03 0.18E+02 0.47E+00 0.25E+00 0.14E+00 0.34E+00 1.000 4 0.47E+00 0.25E+00 0.17E+00 0.51E+00 0 0.19E+04 0.24E+02 0.15E-01 0.58E-02 0.45E-02 0.45E-02 1.000 5 0.15E-01 0.67E-02 0.53E-02 0.44E-02 1 0.23E+04 0.28E+02 0.16E-04 0.41E-04 0.56E-04 0.99E-04 1.000 6 0.16E-04 0.51E-04 0.60E-04 0.64E-04 2 0.25E+04 0.31E+02 0.76E-05 0.16E-05 0.22E-05 0.45E-05 1.000 7 0.76E-05 0.16E-05 0.28E-05 0.84E-05 3 0.27E+04 0.32E+02 0.26E-06 0.55E-07 0.92E-07 0.26E-06 1.000 8 0.26E-06 0.55E-07 0.81E-07 0.19E-06 4 0.26E+04 0.31E+02 0.16E-10 0.36E-11 0.51E-11 0.11E-10 1.000 9 0.16E-10 0.36E-11 0.51E-11 0.11E-10 5 0.26E+04 0.31E+02 0.73E-13 0.44E-13 0.99E-14 0.18E-13 1.000 10 0.73E-13 0.44E-13 0.99E-14 0.18E-13 6 0.26E+04 0.31E+02 0.20E-17 0.99E-18 0.87E-18 0.23E-17 1.000 11 0.20E-17 0.99E-18 0.87E-18 0.23E-17 7 0.26E+04 0.31E+02 ****************************************************************************** SOLUTION OBTAINED AFTER 12 ITERATION STEPS SOLUTION DATA 0.00000000E+00 0.00000000E+00 0.10000000E+01 0.22222222E+02 0.66666667E+01 0.22222222E+02 0.20000000E+00 0.96296296E-01 0.11111111E+00 0.22222222E+02 0.22222222E+01 0.22222222E+02 0.30000000E+00 0.10000000E+00 0.41180294E-10 0.00000000E+00-0.30606875E-09 0.22222222E+02 0.40000000E+00 0.10000000E+00 0.38455266E-25-0.29608268E-28-0.14602073E-23 0.22222222E+02 0.60000000E+00 0.10000000E+00-0.95185169E-25-0.18664429E-27-0.16642237E-23 0.22222222E+02 0.70000000E+00 0.10000000E+00-0.95185169E-25-0.22222222E+02-0.16642237E-23 0.22222222E+02 0.80000000E+00 0.96296296E-01-0.11111111E+00-0.22222222E+02 0.22222222E+01 0.22222222E+02 0.10000000E+01-0.10239216E-15-0.10000000E+01-0.22222222E+02 0.66666667E+01 0.22222222E+02 SWITCHING POINTS 0.30000000E+00 0.70000000E+00 ****************************************************************************** t x v Lx Lv Ziel u Ham ***************************************************************************** 0.0000000000E+00 0.0000000000E+00 0.1000000000E+01 0.2222222222E+02 0.6666666667E+01 0.0000000000E+00 -0.6666666667E+01 0.9151229878E-09 ***************************************************************************** 0.2000000000E+00 0.9629629630E-01 0.1111111111E+00 0.2222222222E+02 0.2222222222E+01 0.2139917695E+01 -0.2222222222E+01 0.9151176605E-09 ***************************************************************************** 0.3000000000E+00 0.1000000000E+00 0.4118029429E-10 0.0000000000E+00 -0.3060687488E-09 0.2222222222E+01 0.0000000000E+00 -0.4683903949E-19 ***************************************************************************** 0.4000000000E+00 0.1000000000E+00 0.3845526620E-25 -0.2960826810E-28 -0.1460207301E-23 0.2222222222E+01 0.0000000000E+00 -0.1066103820E-47 ***************************************************************************** 0.6000000000E+00 0.1000000000E+00 -0.9518516860E-25 -0.1866442882E-27 -0.1664223652E-23 0.2222222222E+01 0.0000000000E+00 -0.1384802416E-47 ***************************************************************************** 0.7000000000E+00 0.1000000000E+00 -0.9518516860E-25 -0.2222222222E+02 -0.1664223652E-23 0.2222222222E+01 0.1664223652E-23 0.2115225969E-23 ***************************************************************************** 0.8000000000E+00 0.9629629630E-01 -0.1111111111E+00 -0.2222222222E+02 0.2222222222E+01 0.2304526749E+01 -0.2222222222E+01 0.8538886872E-10 ***************************************************************************** 0.1000000000E+01 0.1528882326E-14 -0.1000000000E+01 -0.2222222222E+02 0.6666666667E+01 0.4444444444E+01 -0.6666666667E+01 0.8581856059E-10 *****************************************************************************