Inverse eigenvalue problem for pseudo-symmetric Jacobi matrices

In this paper, we consider constructing of pseudo-symmetric Jacobi matrices. We denote the matrix obtained by knoking the (m+ 1)th row and column of the matrix J by Jm+1. Using two spectra, the spectrum of pseudo- symmetric Jacobi matrix J and spectrum of matrix Jm+1, we propose an algorithm for constructing the original matrix J. We give conditions on given spectral data for existence and uniquely reconstruction