A Least Squares Functional for Solving Inverse Sturm-Liouville Problems
We present a method to numerically solve the Sturm-Liouville inverse problem using least squares following (Röhrl, 2005, 2006). We show its merits by computing potential and boundary conditions from two sequences of spectral data in several examples. Finally we prove theorems which show why this approach works particularly well.
KeywordsInverse Problem Conjugate Gradient Algorithm Exponential Convergence Inverse Spectral Problem Separate Boundary Condition
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