Two kinds of the quadratic inverse eigenvalue problem constrained by double eigenvalues
Yan Shen-hai · Journal of Jiangxi University of Science and Technology · 2012
The paper studies two kinds of the quadratic inverse eigenvalue problem constrained by double eigenvalues,namely,solving the simultaneous equation of |λ2M+λC+K|=0,and |μ2M+μC+K|=0 and getting the values of the unknown elements in the specially symmetry matrix M or K.The existence and the detailed expressions of the solutions are presented.The numerical experiments demonstrate that the algorithms are effective.