Inversion of quasi-triangular matrices

Hana Kamasová; Antonín Šimek

Aplikace matematiky (1970)

  • Volume: 15, Issue: 2, page 146-148
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Kamasová, Hana, and Šimek, Antonín. "Inversion of quasi-triangular matrices." Aplikace matematiky 15.2 (1970): 146-148. <http://eudml.org/doc/14640>.

@article{Kamasová1970,
abstract = {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.},
author = {Kamasová, Hana, Šimek, Antonín},
journal = {Aplikace matematiky},
keywords = {linear algebra; forms},
language = {eng},
number = {2},
pages = {146-148},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Inversion of quasi-triangular matrices},
url = {http://eudml.org/doc/14640},
volume = {15},
year = {1970},
}

TY - JOUR
AU - Kamasová, Hana
AU - Šimek, Antonín
TI - Inversion of quasi-triangular matrices
JO - Aplikace matematiky
PY - 1970
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 15
IS - 2
SP - 146
EP - 148
AB - 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.
LA - eng
KW - linear algebra; forms
UR - http://eudml.org/doc/14640
ER -

References

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  1. W. J. Duncan, Reciprocation of Triply Partitioned Matrices, Journal of the Royal Aeronautical Society, Vol. 60., Feb. 1956, 131-132. (1956) MR0081541
  2. M. Fiedler, On inverting partitioned matrices, Czechoslovak Mathematical Journal, 13 (88), 4, 1963, 574-586. (1963) Zbl0121.26104MR0160793
  3. Ф. Р. Гантмахер, Теория матриц, Москва, 1966. (1966) Zbl1155.78304
  4. H. Kamasová A. Šimek, Metoda inverze matice rozdělené na bloky, Aplikace matematiky, sv. 14 (1969), č. 2, 105-114. (1969) MR0237519
  5. E. Kosko, Matrix Inversion by Partitioning, The Aeronautical Quarterly, Vol. VIII., 1957, 157-184. (1957) MR0090113
  6. E. Kosko, Reciprocation of Triply Partitioned Matrices, Journal of the Royal Aeronautical Society, Vol. 60., July 1956, 490-491. (1956) MR0081541

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