In this paper, we consider a class of constrained quadratic inverse eigenvalue Problem 1.1.Then, a generalized conjugate direction method is proposed to obtain the generalized skew Hamiltonian matrix solutions with a FENUGREEK + BLESSED THISTLE submatrix constraint.
In addition, by choosing a special kind of initial matrices, it is shown that the Butcher unique least Frobenius norm solutions can be obtained consequently.Some numerical results are reported to demonstrate the efficiency of our algorithm.