Research Article
On the Singularity of Multivariate Hermite Interpolation of Total Degree
Table 2
All the solutions of (
2) in Lemma
8.
| | | | | Singular/regular |
| 4 | 6 | | 5 | Almost regular | | 7 | Almost regular |
| 4 | 7 | | 9 | |
| 4 | 8 | | 5 | Almost regular | | 7 | Almost regular | | 7 | Almost regular | | 9 | | | 11 | | | 13 | |
| 4 | 9 | | 9 | | | 9 | | | 11 | | | 13 | | | 17 | | | 19 | |
| 4 | 10 | | 5 | Almost regular | | 5 | Almost regular | | 7 | Almost regular | | 7 | Almost regular | | 7 | Almost regular | | 9 | | | 9 | | | 9 | | | 11 | | | 13 | | | 13 | | | 15 | | | 17 | | | 19 | | | 21 | | | 25 | | | 29 | | | 33 | |
| 5 | 7 | | 5 | Almost regular |
| 5 | 12 | | 5 | Almost regular | | 5 | Almost regular | | 7 | | | 7 | | | 9 | |
| 5 | 14 | | 13 | |
| 5 | 15 | | 13 | |
| 6 | 12 | | 5 | Almost regular |
| 6 | 15 | | 5 | Almost regular |
| 6 | 17 | | 7 | |
| 6 | 18 | | 5 | Almost regular | | 5 | Almost regular |
| 6 | 19 | | 7 | |
| 6 | 20 | | 7 | | | 9 | |
| 6 | 21 | | 9 | | | 7 | | | 5 | Almost regular |
| 7 | 15 | | 5 | |
| 7 | 22 | | 5 | | | 5 | |
| 7 | 23 | | 7 | |
| 8 | 23 | | 5 | |
| 8 | 27 | | 5 | |
| 8 | 31 | | 5 | | | 5 | | | 7 | |
| 8 | 35 | | 5 | | | 5 | |
| 9 | 31 | | 5 | |
| 9 | 40 | | 5 | | | 5 | |
| 9 | 43 | | 7 | |
| 10 | 38 | | 5 | |
| 10 | 43 | | 5 | |
| 10 | 48 | | 5 | | | 5 | |
| 10 | 53 | | 5 | | | 5 | |
| 11 | 45 | | 5 | |
| 11 | 56 | | 5 | | | 5 | |
| 12 | 56 | | 5 | |
| 13 | 79 | | 5 | | | 5 | |
| 14 | 92 | | 5 | |
| 14 | 99 | | 5 | |
| 15 | 99 | | 5 | |
| 15 | 114 | | 5 | | | 5 | |
| 16 | 117 | | 5 | |
| 16 | 125 | | 5 | |
| 16 | 133 | | 5 | |
| 17 | 137 | | 5 | |
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