Name
Title | ||
|---|---|---|
Solutions of a Quadratic Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems. |
Abstract | ||
|---|---|---|
Given k pairs of complex numbers and vectors (closed under conjugation), we consider the inverse quadratic eigenvalue problem of constructing n x n real matrices M, D, G, and K, where M > 0, K and D are symmetric, and G is skew-symmetric, so that the quadratic pencil Q(lambda) = lambda M-2 + lambda (D + G) + K has the given k pairs as eigenpairs. First, we construct a general solution to this problem with k <= n. Then, with the special properties D = 0 and K < 0, we construct a particular solution. Numerical results illustrate these solutions. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1155/2014/703178 | JOURNAL OF APPLIED MATHEMATICS |
Field | DocType | Volume |
Inverse,Mathematical optimization,Complex number,Mathematical analysis,2 × 2 real matrices,Quadratic equation,Quadratic programming,Method of undetermined coefficients,Quadratic eigenvalue problem,Mathematics,Eigenvalues and eigenvectors | Journal | 2014 |
Issue | ISSN | Citations |
null | 1110-757X | 0 |
PageRank | References | Authors |
0.34 | 4 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hong-xiu Zhong | 1 | 5 | 1.11 |
| Guo-Liang Chen | 2 | 106 | 17.84 |
| Xiangyun Zhang | 3 | 4 | 2.24 |