On SVD and polar decomposition in real and complexified Clifford algebras
From MaRDI portal
Publication:6568779
DOI10.1007/s00006-024-01328-9zbMATH Open1543.15015MaRDI QIDQ6568779
Publication date: 8 July 2024
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
symplectic groupsingular value decompositionorthogonal groupunitary groupClifford algebrapolar decompositiongeometric algebra
Eigenvalues, singular values, and eigenvectors (15A18) Clifford algebras, spinors (15A66) Applications of Clifford algebras to physics, etc. (15A67)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symplectic, orthogonal and linear Lie groups in Clifford algebra
- On some Lie groups containing spin group in Clifford algebra
- Clifford algebra to geometric calculus. A unified language for mathematics and physics
- Quaternion singular value decomposition based on bidiagonalization to a real or complex matrix using quaternion Householder transformations
- Unitary spaces on Clifford algebras
- Mémoire sur les formes bilinéaires.
- Sur la réduction des formes bilinéaires.
- A note on the existence of the hyperbolic singular value decomposition
- Basis-free formulas for characteristic polynomial coefficients in geometric algebras
- Hyperbolic singular value decomposition in the study of Yang-Mills and Yang-Mills-Proca equations
- Basis-free solution to Sylvester equation in Clifford algebra of arbitrary dimension
- On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension
- Lanczos method for large-scale quaternion singular value decomposition
- Polar decomposition of complexified quaternions and octonions
- Existence of the hyperbolic singular value decomposition
- A note on the hyperbolic singular value decomposition without hyperexchange matrices
- Classification of Lie algebras of specific type in complexified Clifford algebras
- Clifford algebras and their applications to Lie groups and spinors
- Quaternions and matrices of quaternions
- On noncommutative Vieta theorem in geometric algebras
This page was built for publication: On SVD and polar decomposition in real and complexified Clifford algebras