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The application of Schur's algorithm to an inverse eigenvalue problem

Andersson (1990) recently developed an algorithm for the inverse eigenvalue problem for the Sturm-Liouville equation in impedance form. The impedance A(x) is assumed to be piecewise constant over N equal intervals. The author shows that Andersson's algorithm is equivalent to Schur's algorithm, which is well known in one-dimensional seismology and transmission line theory, and is known to be numerically efficient and stable.