In this paper, the theory on direct and inverse spectral problems for Jacobi matrices is
revisited in a kind of pseudo-Jacobi matrices J (n, r, β) with a mixed path as its graph in the …

In this paper, we investigate an inverse eigenvalue problem for matrices that are obtained
from pseudo-Jacobi matrices by only modifying the (1, r)-th and (r, 1)-th entries, 3≤ r≤ n …

For the given signature operator H= I r⊕− I n− r, a pseudo-Jacobi matrix is a self-adjoint
matrix relatively to a symmetric bilinear form<⋅,⋅> H, and it is the counterpart of a classical …

Non-selfadjoint tridiagonal matrices play a role in the discretization and truncation of the
Schrödinger equation in some extensions of quantum mechanics, a research field …

In this paper, we investigate a direct and an inverse eigenvalue problem to recover doubly
periodic pseudo-Jacobi matrices from three spectra λ, μ 1, μ 2 and two positive numbers β⋆ …

The periodic Jacobi inverse eigenvalue problem concerns the reconstruction of a periodic
Jacobi matrix from prescribed spectral data. In Minkowski spaces, with a given signature …

In this paper, we consider construction of a pseudo-symmetric Jacobi matrix. We denote the
matrix obtained by deleting the m th row and column of matrix J by J m. Using two spectra …

Inverse spectral problems for Jacobi and periodic Jacobi matrices with certain sign patterns
are investigated. Necessary and sufficient conditions under which the problems are solvable …

The set of eigenvalues of a square matrix P is denoted by σ (P), and the set of eigenvalues
of the submatrix obtained from P by deleting its first i rows and columns of P is denoted by σ i …

Using a discrete version of Floquet theory in a space with indefinite metric we reconstruct
periodic pseudo-Jacobi matrices from given spectral data. We use two methods to …