Dual quaternion singular value decomposition based on bidiagonalization to a dual number matrix using dual quaternion householder transformations

DOI10.1016/j.aml.2024.109021zbMath1540.15009MaRDI QIDQ6540955

Wenxv Ding, Tao Wang, Musheng Wei, Ying Li

Publication date: 17 May 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

singular value decompositiondual quaternionbidiagonalizationdual quaternion householder transformation

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Diagonalization, Jordan forms (15A20)

Cites Work

• Preliminary sketch of biquaternons.
• Dual quaternions and dual quaternion vectors
• Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations
• Standard dual quaternion optimization and its applications in hand-eye calibration and SLAM
• Unnamed Item

Related Items (3)

Moore determinant of dual quaternion Hermitian matrices ⋮ Eigenvalues of dual Hermitian matrices with application in formation control ⋮ Dual complex structure-preserving algorithm of dual quaternion singular value decomposition and its applications

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