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| Content Provider | Springer Nature Link |
|---|---|
| Author | Xie, Dongxiu Huang, Ningjun Zhang, Qin |
| Copyright Year | 2007 |
| Abstract | Based on the theory of inverse eigenvalue problem, a correction of an approximate model is discussed, which can be formulated as NX=XΛ, where X and Λ are given identified modal and eigenvalues matrices, respectively. The solvability conditions for a symmetric skew-Hamiltonian matrix N are established and an explicit expression of the solutions is derived. For any estimated matrix C of the analytical model, the best approximation matrix $\widehat{N}$ to minimize the Frobenius norm of C − N is provided and some numerical results are presented. A perturbation analysis of the solution $\widehat{N}$ is also performed, which has scarcely appeared in existing literatures. |
| Starting Page | 23 |
| Ending Page | 34 |
| Page Count | 12 |
| File Format | |
| ISSN | 10171398 |
| Journal | Numerical Algorithms |
| Volume Number | 46 |
| Issue Number | 1 |
| e-ISSN | 15729265 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2007-09-27 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Symmetric skew-Hamiltonian matrices Inverse eigenvalue problem Matrix norm The best approximation Theory of Computation Algebra Mathematics Algorithms Numeric Computing |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
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