Publication detail

Special orthogonal matrices over dual numbers and their applications

HRDINA, J. VAŠÍK, P. MATOUŠEK, R.

Original Title

Special orthogonal matrices over dual numbers and their applications

Type

journal article in Scopus

Language

English

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

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

Authors

HRDINA, J.; VAŠÍK, P.; MATOUŠEK, R.

RIV year

2015

Released

19. 6. 2015

ISBN

1803-3814

Periodical

Mendel Journal series

Year of study

2015

Number

6

State

Czech Republic

Pages from

121

Pages to

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"
}