A REAL-VALUED SPECTRAL DECOMPOSITION OF THE UNDAMPED GYROSCOPIC SYSTEM WITH APPLICATIONS

作者：Jia, Zhigang; Wei, Musheng^*

来源：SIAM Journal on Matrix Analysis and Applications, 2011, 32(2): 584-604.

DOI：10.1137/100792020

• gyroscopic system
• spectral decomposition
• real standard pair
• skew-Hankel matrix
• quadratic inverse eigenvalue problem
• no spill-over eigenvalue updating problem

Given an undamped gyroscopic system G(lambda) = M lambda(2) + C lambda + K with M, K symmetric and C skew-symmetric, this paper presents a real-valued spectral decomposition of G(lambda) by a real standard pair (X, T) and a skew-symmetric parameter matrix S. When T is assumed to be a block diagonal matrix, the parameter matrix S has a special structure. This spectral decomposition is applied to solve the quadratic inverse eigenvalue problem and the no spill-over quadratic eigenvalue updating problem.

• 单位
  江苏师范大学; 上海大学; 上海师范大学