A method of inversion of a partitioned matrix

Hana Kamasová; Antonín Šimek

Aplikace matematiky (1969)

  • Volume: 14, Issue: 2, page 105-114
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Kamasová, Hana, and Šimek, Antonín. "Metoda inverze matice rozdělené na bloky." Aplikace matematiky 14.2 (1969): 105-114. <http://eudml.org/doc/14582>.

@article{Kamasová1969,
author = {Kamasová, Hana, Šimek, Antonín},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {cze},
number = {2},
pages = {105-114},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Metoda inverze matice rozdělené na bloky},
url = {http://eudml.org/doc/14582},
volume = {14},
year = {1969},
}

TY - JOUR
AU - Kamasová, Hana
AU - Šimek, Antonín
TI - Metoda inverze matice rozdělené na bloky
JO - Aplikace matematiky
PY - 1969
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 14
IS - 2
SP - 105
EP - 114
LA - cze
KW - numerical analysis
UR - http://eudml.org/doc/14582
ER -

References

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  1. E. Bodewig, Matrix calculus, Amsterdam 1956. (1956) MR0080363
  2. B. P. Děmidovič I. A. Maron, Základy numerické matematiky, Praha 1966. (1966) 
  3. W. J. Duncan, Reciprocation of Triply Partitioned Matrices, Journal of the Royal Aeronautical Society, Vol. 60, Feb. 1956, str. 131 - 132. (1956) MR0081541
  4. Ф. Р. Гантмахер, Теория матриц, Москва 1966. (1966) Zbl1155.78304
  5. E. Kosko, Matrix Inversion by Partitioning, The Aeronautical Quarterly, Vol. VIII, 1957, str. 157-184. (1957) MR0090113
  6. E. Kosko, Reciprocation of Triply Partitioned Matrices, Journal of the Royal Aeronautical Society, Vol. 60, July 1956, str. 490-491. (1956) MR0081541

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