Computation of the Hessian for least-squares solutions of inverse problems of reflection seismology

Fadil Santosa, William W. Symes

Research output: Contribution to journalArticle

32 Scopus citations

Abstract

The authors show that the Hessian of the least-squares cost functional arising in the data-fitting approach to inverse problems in reflection seismology may be computed by a minor extension of the adjoint state technique. They examine the implementation of such a calculation using finite differences for a model problem. They give numerical evidence which shows that the Hessian may be computed with considerable accuracy by this technique, and that it may differ considerably from the Gauss-Newton approximation, while costing approximately 50% more computational effort.

Original languageEnglish (US)
Article number017
Pages (from-to)211-233
Number of pages23
JournalInverse Problems
Volume4
Issue number1
DOIs
StatePublished - Dec 1 1988

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