Detail publikace
Reduction of matrices over orders of imaginary quadratic field
KUREŠ, M. SKULA, L.
Anglický název
Reduction of matrices over orders of imaginary quadratic field
Typ
Článek recenzovaný mimo WoS a Scopus
Jazyk
en
Originální abstrakt
A special decomposition (called the near standard form) of (1,2)-matrices over a ring is introduced and a method for a reduction of such matrices is explained. This can be applied for a detection of elementary second order matrices among invertible second order matrices. The tool is used in detail over orders of imaginary quadratic fields, where an algorithm, a number of properties and examples are presented.
Klíčová slova anglicky
Order of an imaginary quadratic field, Normed ring, Generalized Euclidean ring, Invertible matrix, Elementary matrix, (1,2)-Matrix
Vydáno
2011-06-10
Nakladatel
Elsevier
ISSN
0024-3795
Časopis
LINEAR ALGEBRA AND ITS APPLICATIONS
Ročník
435
Číslo
6
Strany od–do
1903–1919
Počet stran
17
BIBTEX
@article{BUT50911,
author="Miroslav {Kureš} and Ladislav {Skula}",
title="Reduction of matrices over orders of imaginary quadratic field",
journal="LINEAR ALGEBRA AND ITS APPLICATIONS",
year="2011",
volume="435",
number="6",
pages="1903--1919",
issn="0024-3795"
}