nag_dtgevc (f08ykc) Example Program Results
Matrix A after balancing
1 2 3 4 5
1 1.0000 1.0000 0.1000 0.1000 0.1000
2 2.0000 4.0000 0.8000 1.6000 3.2000
3 0.3000 0.9000 0.2700 0.8100 2.4300
4 0.4000 1.6000 0.6400 2.5600 10.2400
5 0.5000 2.5000 1.2500 6.2500 31.2500
Matrix B after balancing
1 2 3 4 5
1 1.0000 2.0000 0.3000 0.4000 0.5000
2 1.0000 4.0000 0.9000 1.6000 2.5000
3 0.1000 0.8000 0.2700 0.6400 1.2500
4 0.1000 1.6000 0.8100 2.5600 6.2500
5 0.1000 3.2000 2.4300 10.2400 31.2500
Matrix A in Hessenberg form
1 2 3 4 5
1 -2.1898 -0.3181 2.0547 4.7371 -4.6249
2 -0.8395 -0.0426 1.7132 7.5194 -17.1850
3 0.0000 -0.2846 -1.0101 -7.5927 26.4499
4 0.0000 0.0000 0.0376 1.4070 -3.3643
5 0.0000 0.0000 0.0000 0.3813 -0.9937
Matrix B in Hessenberg form
1 2 3 4 5
1 -1.4248 -0.3476 2.1175 5.5813 -3.9269
2 0.0000 -0.0782 0.1189 8.0940 -15.2928
3 0.0000 0.0000 1.0021 -10.9356 26.5971
4 0.0000 0.0000 0.0000 0.5820 -0.0730
5 0.0000 0.0000 0.0000 0.0000 0.5321
Generalized eigenvalues
1 ( -2.437, 0.000)
2 ( 0.607, 0.795)
3 ( 0.607, -0.795)
4 ( 1.000, 0.000)
5 ( -0.410, 0.000)
Right eigenvectors
1 2 3 4 5
1 -0.4655 1.0000 0.0000 -0.5469 -0.5106
2 1.0000 -0.7945 -0.5235 1.0000 1.0000
3 -0.9428 0.2277 0.2509 -0.7383 -0.7350
4 0.4126 -0.0300 -0.0700 0.1953 0.2343
5 -0.0662 0.0014 0.0102 -0.0273 -0.0261
Left eigenvectors
1 2 3 4 5
1 -0.5106 1.0000 0.0000 -0.5469 -0.4655
2 1.0000 -0.7945 -0.5235 1.0000 1.0000
3 -0.7350 0.2277 0.2509 -0.7383 -0.9428
4 0.2343 -0.0300 -0.0700 0.1953 0.4126
5 -0.0261 0.0014 0.0102 -0.0273 -0.0662