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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
Number
6
State
Czech Republic
Pages from
121
Pages to
126
Pages count
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" }