SIAM Review
Theory and computations of partial eigenvalue and eigenstructure assignment problems in matrix second-order and distributed-parameter systems
Solutions of the Partially Described Inverse Quadratic Eigenvalue Problem
SIAM Journal on Matrix Analysis and Applications
Structured Quadratic Inverse Eigenvalue Problem, I. Serially Linked Systems
SIAM Journal on Scientific Computing
| Hi-index | 7.29 |
Linear undamped gyroscopic systems are defined by three real matrices, M0,K0, and G(G^T=-G); the mass, stiffness, and gyroscopic matrices, respectively. In this paper an inverse problem is considered: given complete information about eigenvalues and eigenvectors, @L=diag{@l"1,@l"2,...,@l"2"n"-"1,@l"2"n}@?C^2^n^x^2^n and X=[x"1,x"2,...,x"2"n"-"1,x"2"n]@?C^n^x^2^n, where the diagonal elements of @L are all purely imaginary, X is of full row rank n, and both @L and X are closed under complex conjugation in the sense that @l"2"j=@l@?"2"j"-"1@?C,x"2"j=x@?"2"j"-"1@?C^n for j=1,...,n, find M,K and G such that MX@L^2+GX@L+KX=0. The solvability condition for the inverse problem and a solution to the problem are presented, and the results of the inverse problem are applied to develop a method for model updating.