| Title:
|
Triangular stochastic matrices generated by infinitesimal elements (English) |
| Author:
|
Chon, Inheung |
| Author:
|
Min, Hyesung |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
49 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
249-254 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that each element in the semigroup $S_n$ of all $n \times n$ non-singular upper (or lower) triangular stochastic matrices is generated by the infinitesimal elements of $S_n$, which form a cone consisting of all $n \times n$ upper (or lower) triangular intensity matrices. (English) |
| MSC:
|
15A51 |
| MSC:
|
22E15 |
| MSC:
|
22E99 |
| MSC:
|
34A30 |
| idZBL:
|
Zbl 0949.22021 |
| idMR:
|
MR1692481 |
| . |
| Date available:
|
2009-09-24T10:22:09Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127485 |
| . |
| Reference:
|
[1] I. Chon: Lie group and control theory.Ph.D. thesis at Louisiana state university, 1988. |
| Reference:
|
[2] F. R. Gantmacher: The Theory of Matrices vol. 1 and vol. 2.Chelsea Publ. Comp., New York, 1960. MR 1657129 |
| Reference:
|
[3] C. Loewner: On totally positive matrices.Math. Zeitschr. 63 (1955), 338–340. Zbl 0068.25004, MR 0073657, 10.1007/BF01187945 |
| Reference:
|
[4] C. Loewner: A theorem on the partial order derived from a certain transformation semigroup.Math. Zeitschr. 72 (1959), 53–60. Zbl 0091.26101, MR 0107068, 10.1007/BF01162936 |
| Reference:
|
[5] H. Min: One parameter semigroups in Lie groups.Master’s thesis at Seoul women’s university, 1995. |
| Reference:
|
[6] V. S. Varadarajan: Lie Groups, Lie Algebras, and Their Representations.SpringerVerlag, New York, 1984. Zbl 0955.22500, MR 0746308 |
| . |
