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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Feng Ding Ming Li Jiyang Dai |
| Copyright Year | 2006 |
| Description | Author affiliation: Control Sci. & Eng. Res. Center, Southern Yangtze Univ., Wuxi, China (Feng Ding) |
| Abstract | In this paper, we extend the well-known Jacobi and Gauss-Seidel iterations to present a large family of iterative methods. The proposed methods are applied to develop iterative solutions to the matrix equation AXB = F and the generalized Sylvester matrix equation AXB + CXD = F by means of a hierarchical identification principle. We prove that the iterative solutions converge to the exact solutions for any initial values. The algorithms proposed require less storage capacity than the existing numerical ones. The iterative methods can be applied to system parameter identification problems. |
| Sponsorship | IEEE Control Syst. Soc. SICE, ICASE, Harbin Inst. of Technol |
| Starting Page | 418 |
| Ending Page | 422 |
| File Size | 5022895 |
| Page Count | 5 |
| File Format | |
| ISBN | 7810778021 |
| DOI | 10.1109/CHICC.2006.280586 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2006-08-07 |
| Publisher Place | China |
| Access Restriction | Subscribed |
| Rights Holder | TECH COMMITTEE ON CONTROL THEORY |
| Subject Keyword | Jacobi iteration Laboratories Nondestructive testing Sylvester matrix equation Educational technology Speech synthesis Equations gradient iteration Jacobian matrices estimation identification least squares Gaussian processes hierarchical identification principle Field-flow fractionation Control engineering education Gauss-Seidel iteration Iterative methods Lyapunov matrix equation |
| Content Type | Text |
| Resource Type | Article |
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