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Keywords:
numerical analysis
numerical analysis
Summary:
In this paper the problem of the inversion of a block matrix is considered. Formulas for the blocks of the inverse matrix are derived and conditions are given under which these formulas can be used.
References:
[1] E. Bodewig: Matrix calculus. Amsterdam 1956. MR 0080363
[2] B. P. Děmidovič I. A. Maron: Základy numerické matematiky. Praha 1966.
[3] W. J. Duncan: Reciprocation of Triply Partitioned Matrices. Journal of the Royal Aeronautical Society, Vol. 60, Feb. 1956, str. 131 - 132. DOI 10.1017/S0368393100133450 | MR 0081541
[4] Ф. Р. Гантмахер: Теория матриц. Москва 1966. Zbl 1155.78304
[5] E. Kosko: Matrix Inversion by Partitioning. The Aeronautical Quarterly, Vol. VIII, 1957, str. 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, str. 490-491. DOI 10.1017/S0001924000124236 | MR 0081541
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