Abstract
In a recent paper [3] a method was proposed for solving the inverse SturmLiouville problem by finding a piecewise constant potential whose leading eigenvalues agree with the specified eigenvalues. The numerical evidence presented there indicated that the method worked well, but that the recovered solution was sensitive to perturbations in the specified eigenvalues. In this note the sensitivity of the recovered potential with respect to errors in the eigenvalues is investigated and a regularization technique for reducing the influence of such errors is proposed.
Information