An inverse eigenvalue problem and a matrix approximation problem for symmetric skew-hamiltonian matrices Export

@article{citeulike:1957171, abstract = {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 to minimize the Frobenius norm of C − N is provided and some numerical results are presented. A perturbation analysis of the solution is also performed, which has scarcely appeared in existing literatures.}, author = {Xie, Dongxiu and Huang, Ningjun and Zhang, Qin}, citeulike-article-id = {1957171}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/s11075-007-9124-0}, day = {30}, doi = {10.1007/s11075-007-9124-0}, journal = {Numerical Algorithms}, keywords = {eigenproblem, inverse, updating}, number = {1}, pages = {23--34}, posted-at = {2007-11-22 08:08:57}, priority = {2}, title = {An inverse eigenvalue problem and a matrix approximation problem for symmetric skew-hamiltonian matrices}, url = {http://dx.doi.org/10.1007/s11075-007-9124-0}, volume = {46}, year = {2007} }

TY - JOUR ID - citeulike:1957171 L3 - citeulike-article-id:1957171 N2 - 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 to minimize the Frobenius norm of C − N is provided and some numerical results are presented. A perturbation analysis of the solution is also performed, which has scarcely appeared in existing literatures. IS - 1 JF - Numerical Algorithms EP - 34 TI - An inverse eigenvalue problem and a matrix approximation problem for symmetric skew-hamiltonian matrices VL - 46 SP - 23 KW - eigenproblem KW - inverse KW - updating AU - Xie, Dongxiu AU - Huang, Ningjun AU - Zhang, Qin PY - 2007//30/ UR - http://dx.doi.org/10.1007/s11075-007-9124-0 ER -