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The Inverse Sturm-Liouville Problem and Finite Differences

by M. H. Pirovino

(Report number 1993-04)

Abstract
In this paper we give a summary of the main results in concerning the inverse Sturm-Liouville problem. We emphasize a convergence result for a Newton method based on finite difference approximation together with a correction technique first introduced by Paine, de Hoog and Anderssen.

Keywords: inverse eigenvalue problems, newton method,finite differences

@Techreport{P93_29,
  author = {M. H. Pirovino},
  title = {The Inverse Sturm-Liouville Problem and Finite Differences},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1993-04},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1993/1993-04.pdf },
  year = {1993}
}

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