Detail publikačního výsledku

Special orthogonal matrices over dual numbers and their applications

HRDINA, J.; VAŠÍK, P.; MATOUŠEK, R.

Originální název

Special orthogonal matrices over dual numbers and their applications

Anglický název

Special orthogonal matrices over dual numbers and their applications

Druh

Článek Scopus

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.

Anglický 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

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

Klíčová slova v angličtině

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

Autoři

HRDINA, J.; VAŠÍK, P.; MATOUŠEK, R.

Rok RIV

2016

Vydáno

19.06.2015

ISSN

1803-3814

Periodikum

Mendel Journal series

Svazek

2015

Číslo

6

Stát

Česká republika

Strany od

121

Strany do

126

Strany počet

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"
}