4.iii. Computational evidence
The links in the table below are to documented Maple V.5 scripts which
describe the computations in more detail, and may be used to replicate them.
We generated the totally positive matrices randomly, but recorded the seed
so that the computations may be checked.
Instances of totally positive conjecture
tested:
| Schubert data
| (J1)6
| (J2)5
| (135)4
| (J1)8
| (J2)6
| (135)(136)(J1)5
|
|---|
| m,p
| 3,2
| 5,2
| 4,3
| 4,2
| 6,2
|
4,3
|
|---|
| d
| 5
| 6
| 8
| 14
| 15
| 25
|
|---|
| Number checked
| 12000
| 4000
| 4000
| 1500
| 300
| 150
|
|---|
These data are correct, but the conmjecture is not.