Publication detail

Special orthogonal matrices over dual numbers and their applications

HRDINA, J. VAŠÍK, P. MATOUŠEK, R.

English title

Special orthogonal matrices over dual numbers and their applications

Type

Scopus Article

Language

en

Original abstract

We show that the classification of the geometric errors follows directly from the algebraic properties of the matrices over dual numbers and thus the calculus over the dual numbers is the proper tool for the methodology of multi--axis machines error modeling. To study orthogonal and special orthogonal matrices over dual numbers $\mathbb D$ we show the explicit description for dimesnion two and three. In this way the multi--axis machines error modeling is set in the context of modern differential geometry and linear algebra.

Keywords in English

matrices; dual numbers; kinematics; error modeling; Weyl algebras

Released

2015-06-19

ISSN

1803-3814

Volume

2015

Number

6

Pages from–to

121–126

Pages count

6

BIBTEX


@article{BUT115147,
  author="Jaroslav {Hrdina} and Petr {Vašík} and Radomil {Matoušek}",
  title="Special orthogonal matrices over dual numbers and their applications",
  journal="Mendel Journal series",
  year="2015",
  volume="2015",
  number="6",
  pages="121--126",
  issn="1803-3814"
}