Exploring Symmetry in Dual Quaternion Matrices and Matrix Equations
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: 30 November 2024 | Viewed by 22
Special Issue Editor
Interests: Matrix Theory; linear and multilinear algebra; numerical linear algebra
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Symmetry plays a crucial role in various mathematical fields, including in the study of matrices and equations. Dual quaternions, an extension of the concept of quaternions, are a powerful mathematical tool used in computer graphics, robotics, and physics.
Symmetry plays a crucial role in the study of dual quaternion matrices and matrix equations. Dual quaternions, as mathematical objects, possess inherent symmetries that reflect their geometric interpretations and allow for efficient computations. These symmetries can be exploited to simplify matrix equations and to develop more efficient algorithms for solving them.
By studying the symmetries of dual quaternion matrices within matrix equations, researchers can uncover deeper connections between geometric transformations and algebraic structures. This interdisciplinary approach paves the way for innovative applications in fields such as computer animation, robotic control, and mathematical physics.
Prof. Dr. Qing-Wen Wang
Guest Editor
Manuscript Submission Information
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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- dual quaternion matrices
- matrix equations
- matrix symmetry
- symmetric matrices
- orthogonal matrices
- unitary matrices
- matrix equations
- Hermitian matrices
- skew-symmetric matrices
- Cayley transform
- Lie groups and Lie algebras
