Name
Abstract | ||
|---|---|---|
In this paper we propose a novel structure-preserving algorithm for solving the right eigenvalue problem of quaternion Hermitian matrices. The algorithm is based on the structure-preserving tridiagonalization of the real counterpart for quaternion Hermitian matrices by applying orthogonal JRS-symplectic matrices. The algorithm is numerically stable because we use orthogonal transformations; the algorithm is very efficient, it costs about a quarter arithmetical operations, and a quarter to one-eighth CPU times, comparing with standard general-purpose algorithms. Numerical experiments are provided to demonstrate the efficiency of the structure-preserving algorithm. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.cam.2012.09.018 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
real counterpart,structure-preserving tridiagonalization,numerical experiment,orthogonal jrs-symplectic matrix,orthogonal transformation,new structure-preserving method,quaternion hermitian matrix,quaternion hermitian eigenvalue problem,standard general-purpose algorithm,one-eighth cpu time,structure-preserving algorithm,quarter arithmetical operation | Arithmetic function,Mathematical optimization,Algebra,Mathematical analysis,Matrix (mathematics),Quaternion,Divide-and-conquer eigenvalue algorithm,Hermitian matrix,Eigenvalues and eigenvectors,Mathematics | Journal |
Volume | ISSN | Citations |
239, | 0377-0427 | 14 |
PageRank | References | Authors |
1.01 | 4 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhigang Jia | 1 | 43 | 9.02 |
| Musheng Wei | 2 | 129 | 24.67 |
| Sitao Ling | 3 | 39 | 6.01 |