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VOL. 17 | 1988 Regularization applied to the recovery of piecewise constant strum-liouville potentials


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.


Published: 1 January 1988
First available in Project Euclid: 18 November 2014

zbMATH: 0679.34022
MathSciNet: MR1000359

Rights: Copyright © 1988, Centre for Mathematical Analysis, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.


Vol. 17 • 1 January 1988
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