| Title:
|
Inversion of quasi-triangular matrices (English) |
| Author:
|
Kamasová, Hana |
| Author:
|
Šimek, Antonín |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
15 |
| Issue:
|
2 |
| Year:
|
1970 |
| Pages:
|
146-148 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the problem of the inversion of quasitriangular matrices is considered. Formulas for the blocks of the inverse matrix are derived and the conditions are given under which these formulas may be used. (English) |
| Keyword:
|
linear algebra |
| Keyword:
|
forms |
| MSC:
|
15-15 |
| idZBL:
|
Zbl 0194.05904 |
| idMR:
|
MR0252409 |
| DOI:
|
10.21136/AM.1970.103278 |
| . |
| Date available:
|
2008-05-20T17:47:34Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103278 |
| . |
| Reference:
|
[1] W. J. Duncan: Reciprocation of Triply Partitioned Matrices.Journal of the Royal Aeronautical Society, Vol. 60., Feb. 1956, 131-132. MR 0081541, 10.1017/S0368393100133450 |
| Reference:
|
[2] M. Fiedler: On inverting partitioned matrices.Czechoslovak Mathematical Journal, 13 (88), 4, 1963, 574-586. Zbl 0121.26104, MR 0160793 |
| Reference:
|
[3] Ф. Р. Гантмахер: Теория матриц.Москва, 1966. Zbl 1155.78304 |
| Reference:
|
[4] H. Kamasová A. Šimek: Metoda inverze matice rozdělené na bloky.Aplikace matematiky, sv. 14 (1969), č. 2, 105-114. MR 0237519 |
| Reference:
|
[5] E. Kosko: Matrix Inversion by Partitioning.The Aeronautical Quarterly, Vol. VIII., 1957, 157-184. MR 0090113, 10.1017/S0001925900010465 |
| Reference:
|
[6] E. Kosko: Reciprocation of Triply Partitioned Matrices.Journal of the Royal Aeronautical Society, Vol. 60., July 1956, 490-491. MR 0081541, 10.1017/S0001924000124236 |
| . |
