Publication detail

Reduction of matrices over orders of imaginary quadratic field

KUREŠ, M. SKULA, L.

Original Title

Reduction of matrices over orders of imaginary quadratic field

Type

journal article - other

Language

English

Original Abstract

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.

Keywords

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

Authors

KUREŠ, M.; SKULA, L.

RIV year

2011

Released

10. 6. 2011

Publisher

Elsevier

ISBN

0024-3795

Periodical

LINEAR ALGEBRA AND ITS APPLICATIONS

Year of study

435

Number

6

State

United States of America

Pages from

1903

Pages to

1919

Pages count

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"
}