A = 2. 1. 3. 1. - 1. 2. 2. 1. 1. 0. 1. 0. - 1. - 1. - 1. 1. The L R and A matrix are : 1. 0. 0. 0. - 0.5 1. 0. 0. - 0.5 - 0.2 1. 0. 0.5 - 0.2 0.1667 1. 2. 1. 3. 1. 0. 2.5 3.5 1.5 0. 0. 1.2 1.8 0. 0. 0. - 0.5 2.5 0.2 1.5 3. - 0.25 1.5 2.0833 3.5 - 0.3 - 0.6 2. 1.2 0.25 0.1 - 0.5 0. The L R and A matrix are : 1. 0. 0. 0. - 0.1 1. 0. 0. - 0.12 - 0.3789 1. 0. 0.1 0.0526 - 0.2536 1. 2.5 0.2 1.5 3. 0. 1.52 2.2333 3.8 0. 0. 3.0263 3. 0. 0. 0. 0.2609 2.6 - 0.2105 0.7391 3. - 0.04 0.8737 1.2696 3.8 - 0.0632 - 0.9889 2.2654 3. 0.0261 0.0137 - 0.0662 0.2609 The L R and A matrix are : 1. 0. 0. 0. - 0.0243 1. 0. 0. - 0.0154 - 0.8757 1. 0. 0.0100 - 0.0159 - 0.0113 1. 2.6 - 0.2105 0.7391 3. 0. - 0.9940 2.2834 3.0729 0. 0. 3.2804 6.537 0. 0. 0. 0.3538 2.6154 0.8757 - 0.2445 3. - 0.0093 3.1049 - 1.0289 3.0729 - 0.0141 3.1763 - 0.0741 6.537 0.0036 - 0.0056 - 0.0040 0.3538 The L R and A matrix are : 1. 0. 0. 0. - 0.0054 1. 0. 0. - 0.0036 0.9771 1. 0. 0.0014 - 0.0021 0.0040 1. 2.6154 0.8757 - 0.2445 3. 0. 3.181 - 0.0754 6.5531 0. 0. - 0.9561 - 3.3192 0. 0. 0. 0.3772 2.6176 0.6046 0.8877 3. - 0.0021 3.0185 3.2073 6.5531 0.0006 - 0.9489 - 0.0133 - 3.3192 0.0005 - 0.0008 0.0015 0.3772 The L R and A matrix are : 1. 0. 0. 0. - 0.0008 1. 0. 0. 0.0002 - 0.3144 1. 0. 0.0002 - 0.0003 0.0023 1. 2.6176 0.6046 0.8877 3. 0. 3.019 3.208 6.5555 0. 0. 0.9949 - 1.2591 0. 0. 0. 0.3815 2.618 0.3246 0.8947 3. - 0.0003 2.0085 3.2233 6.5555 - 1.D-17 - 0.3124 0.992 - 1.2591 7.D-05 - 0.0001 0.0009 0.3815 The L R and A matrix are : 1. 0. 0. 0. - 0.0001 1. 0. 0. - 4.D-18 - 0.1555 1. 0. 3.D-05 - 6.D-05 0.0007 1. 2.618 0.3246 0.8947 3. 0. 2.0085 3.2234 6.5559 0. 0. 1.4933 - 0.2395 0. 0. 0. 0.3820 2.618 0.1853 0.8969 3. - 4.D-05 1.5067 3.2281 6.5559 - 7.D-06 - 0.2323 1.4932 - 0.2395 1.D-05 - 2.D-05 0.0003 0.3820 The (1,1) and (4,4) elements have converged to real eigenva lues 2.618 0.1853 0.8969 3. - 4.D-05 1.5067 3.2281 6.5559 - 7.D-06 - 0.2323 1.4932 - 0.2395 1.D-05 - 2.D-05 0.0003 0.3820 Although submatrix themselves are not converging their eige n values converges. 1.5 + 0.8658i 1.5 - 0.8658i