Publication detail

Reduction of matrices over orders of imaginary quadratic field

KUREŠ, M. SKULA, L.

English title

Reduction of matrices over orders of imaginary quadratic field

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

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 in English

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

Released

2011-06-10

Publisher

Elsevier

ISSN

0024-3795

Journal

LINEAR ALGEBRA AND ITS APPLICATIONS

Volume

435

Number

6

Pages from–to

1903–1919

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"
}