Detail publikace

Special orthogonal matrices over dual numbers and their applications

HRDINA, J. VAŠÍK, P. MATOUŠEK, R.

Anglický název

Special orthogonal matrices over dual numbers and their applications

Typ

Článek Scopus

Jazyk

en

Originální abstrakt

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.

Klíčová slova anglicky

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

Vydáno

2015-06-19

ISSN

1803-3814

Ročník

2015

Číslo

6

Strany od–do

121–126

Počet stran

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"
}