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Content Provider | IEEE Xplore Digital Library |
---|---|
Author | Huang Jing-pin Ma Lu-lu |
Copyright Year | 2012 |
Description | Author affiliation: College of Science, Guangxi University for Nationalities, Nanning 530006, China (Huang Jing-pin; Ma Lu-lu) |
Abstract | In this paper, we discuss convergent splittings of sub-positive definite matrix A over quaternion field. Meanwhile, the QSOR iterative algorithm of the sub-positive definite linear systems AX = B over quaternion field are structured, and convergence of the algorithm is described by using right eigenvalue maximum norm of the quaternion matrix, and the optimal range of parameters are obtained. Secondly, applying the structure preserving iterative of QSOR to realize numerical solutions of the linear systems. The numerical results indicate the method presented in this paper is feasible and efficient. |
Starting Page | 62 |
Ending Page | 65 |
File Size | 136979 |
Page Count | 4 |
File Format | |
ISBN | 9781467325813 |
ISSN | 21612927 |
e-ISBN | 9789881563811 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2012-07-25 |
Publisher Place | China |
Access Restriction | Subscribed |
Rights Holder | Chinese Assoc of Automati |
Subject Keyword | Linear systems convergent splitting Quaternions sub-positive definite matrix Eigenvalues and eigenfunctions right eigenvalue maximum norm Iterative methods Matrix decomposition QSOR iterative Equations Convergence |
Content Type | Text |
Resource Type | Article |
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