Name
Abstract | ||
|---|---|---|
New real structure-preserving decompositions are introduced to develop fast and robust algorithms for the (right) eigenproblem of general quaternion matrices. Under the orthogonally JRS-symplectic transformations, the Francis JRS-QR step and the JRS-QR algorithm are firstly proposed for JRS-symmetric matrices and then applied to calculate the Schur form of quaternion matrices. A novel quaternion Givens matrix is defined and utilized to compute the QR factorization of quaternion Hessenberg matrices. An implicit double shift quaternion QR algorithm is presented with a technique for automatically choosing shifts and within real operations. Numerical experiments are provided to demonstrate the efficiency and accuracy of newly proposed algorithms. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.cam.2018.04.019 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Structured matrices,Structure-preserving method,Quaternion QR algorithm,Quaternion eigenvalue problem | Real structure,Algebra,Matrix (mathematics),Quaternion,Hypercomplex analysis,Mathematics,QR decomposition,QR algorithm | Journal |
Volume | ISSN | Citations |
343 | 0377-0427 | 6 |
PageRank | References | Authors |
0.47 | 6 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhigang Jia | 1 | 43 | 9.02 |
| Musheng Wei | 2 | 129 | 24.67 |
| Meixiang Zhao | 3 | 17 | 3.69 |
| Yong Chen | 4 | 750 | 118.44 |