Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices
Anne Monvel, Lech Zielinski (2014)
Open Mathematics
Similarity:
We consider an infinite Jacobi matrix with off-diagonal entries dominated by the diagonal entries going to infinity. The corresponding self-adjoint operator J has discrete spectrum and our purpose is to present results on the approximation of eigenvalues of J by eigenvalues of its finite submatrices.