Inversion of quasi-triangular matrices

Hana Kamasová; Antonín Šimek

Aplikace matematiky (1970)

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

Abstract

top
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

top

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

top
  1. W. J. Duncan, 10.1017/S0368393100133450, Journal of the Royal Aeronautical Society, Vol. 60., Feb. 1956, 131-132. (1956) MR0081541DOI10.1017/S0368393100133450
  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, 10.1017/S0001925900010465, The Aeronautical Quarterly, Vol. VIII., 1957, 157-184. (1957) MR0090113DOI10.1017/S0001925900010465
  6. E. Kosko, 10.1017/S0001924000124236, Journal of the Royal Aeronautical Society, Vol. 60., July 1956, 490-491. (1956) MR0081541DOI10.1017/S0001924000124236

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.