Inverse eigenvalue problem for pseudo-symmetric Jacobi matrices with two spectra
Hanif Mirzaei · Linear and Multilinear Algebra · 2017
In this paper, we consider construction of a pseudo-symmetric Jacobi matrix. We denote the matrix obtained by deleting the mth row and column of matrix J by Jm. 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 sufficient conditions for uniqueness of the solution. Finally, a test problem is given.