Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6892172 | Computers & Mathematics with Applications | 2018 | 12 Pages |
Abstract
A new real structure-preserving Jacobi algorithm is proposed for solving the eigenvalue problem of quaternion Hermitian matrix. By employing the generalized JRS-symplectic Jacobi rotations, the new quaternion Jacobi algorithm can preserve the symmetry and JRS-symmetry of the real counterpart of quaternion Hermitian matrix. Moreover, the proposed algorithm only includes real operations without dimension-expanding and is generally superior to the state-of-the-art algorithm. Numerical experiments are reported to indicate its efficiency and accuracy.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Ru-Ru Ma, Zhi-Gang Jia, Zheng-Jian Bai,