Detail publikace

Reduction of matrices over orders of imaginary quadratic field

Originální název

Reduction of matrices over orders of imaginary quadratic field

Anglický název

Reduction of matrices over orders of imaginary quadratic field

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.

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.

BibTex


@article{BUT50911,
  author="Miroslav {Kureš} and Ladislav {Skula}",
  title="Reduction of matrices over orders of imaginary quadratic field",
  annote="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.",
  address="Elsevier",
  chapter="50911",
  institution="Elsevier",
  journal="LINEAR ALGEBRA AND ITS APPLICATIONS",
  number="6",
  volume="435",
  year="2011",
  month="june",
  pages="1903--1919",
  publisher="Elsevier",
  type="journal article - other"
}