Detail publikačního výsledku

Reduction of matrices over orders of imaginary quadratic field

KUREŠ, M.; SKULA, L.

Originální název

Reduction of matrices over orders of imaginary quadratic field

Anglický název

Reduction of matrices over orders of imaginary quadratic field

Druh

Článek recenzovaný mimo WoS a Scopus

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.

Anglický 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

Order of an imaginary quadratic field, Normed ring, Generalized Euclidean ring, Invertible matrix, Elementary matrix, (1,2)-Matrix

Klíčová slova v angličtině

Order of an imaginary quadratic field, Normed ring, Generalized Euclidean ring, Invertible matrix, Elementary matrix, (1,2)-Matrix

Autoři

KUREŠ, M.; SKULA, L.

Rok RIV

2012

Vydáno

10.06.2011

Nakladatel

Elsevier

ISSN

0024-3795

Periodikum

LINEAR ALGEBRA AND ITS APPLICATIONS

Svazek

435

Číslo

6

Stát

Spojené státy americké

Strany od

1903

Strany do

1919

Strany počet

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"
}