Article
Full entry |
PDF
(0.4 MB)
Feedback
PDF
(0.4 MB)
Feedback
Keywords:
linear algebra; forms
linear algebra; forms
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.
References:
[1] W. J. Duncan: Reciprocation of Triply Partitioned Matrices. Journal of the Royal Aeronautical Society, Vol. 60., Feb. 1956, 131-132. MR 0081541
[2] M. Fiedler: On inverting partitioned matrices. Czechoslovak Mathematical Journal, 13 (88), 4, 1963, 574-586. MR 0160793 | Zbl 0121.26104
[3] Ф. Р. Гантмахер: Теория матриц. Москва, 1966. Zbl 1155.78304
[4] H. Kamasová A. Šimek: Metoda inverze matice rozdělené na bloky. Aplikace matematiky, sv. 14 (1969), č. 2, 105-114. MR 0237519
[5] E. Kosko: Matrix Inversion by Partitioning. The Aeronautical Quarterly, Vol. VIII., 1957, 157-184. MR 0090113
[6] E. Kosko: Reciprocation of Triply Partitioned Matrices. Journal of the Royal Aeronautical Society, Vol. 60., July 1956, 490-491. MR 0081541
Search
Partner of
