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Kamasová, Hana ; Šimek, Antonín
Inversion of quasi-triangular matrices. (English). Aplikace matematiky, vol. 15 (1970), issue 2, pp. 146-148
MSC: 15-15 | MR 0252409 | Zbl 0194.05904 | DOI: 10.21136/AM.1970.103278
Keywords:
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:
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[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. DOI 10.1017/S0001925900010465 | MR 0090113
[6] E. Kosko: Reciprocation of Triply Partitioned Matrices. Journal of the Royal Aeronautical Society, Vol. 60., July 1956, 490-491. DOI 10.1017/S0001924000124236 | MR 0081541
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