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Title: Metoda inverze matice rozdělené na bloky (Czech)
Title: A method of inversion of a partitioned matrix (English)
Author: Kamasová, Hana
Author: Šimek, Antonín
Language: Czech
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 14
Issue: 2
Year: 1969
Pages: 105-114
Summary lang: English
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Category: math
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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. (English)
Keyword: numerical analysis
MSC: 15-15
idZBL: Zbl 0181.17101
idMR: MR0237519
DOI: 10.21136/AM.1969.103213
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Date available: 2008-05-20T17:44:34Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/103213
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Reference: [1] E. Bodewig: Matrix calculus.Amsterdam 1956. MR 0080363
Reference: [2] B. P. Děmidovič I. A. Maron: Základy numerické matematiky.Praha 1966.
Reference: [3] W. J. Duncan: Reciprocation of Triply Partitioned Matrices.Journal of the Royal Aeronautical Society, Vol. 60, Feb. 1956, str. 131 - 132. MR 0081541, 10.1017/S0368393100133450
Reference: [4] Ф. Р. Гантмахер: Теория матриц.Москва 1966. Zbl 1155.78304
Reference: [5] E. Kosko: Matrix Inversion by Partitioning.The Aeronautical Quarterly, Vol. VIII, 1957, str. 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, str. 490-491. MR 0081541, 10.1017/S0001924000124236
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