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Proceedings Paper

Tomographic resolution without singular value decomposition
Author(s): James G. Berryman
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Paper Abstract

An explicit procedure is presented for computing both model and data resolution matrices within a Paige-Saunders LSQR algorithm for iterative inversion in seismic tomography. These methods are designed to avoid the need for an additional singular value decomposition of the ray-path matrix. The techniques discussed are completely general since they are based on the multiplicity of equivalent exact formulas that may be used to define the resolution matrix. Thus, resolution matrices may also be computed for a wide variety of iterative inversion algorithms using the same ideas.

Paper Details

Date Published: 23 September 1994
PDF: 12 pages
Proc. SPIE 2301, Mathematical Methods in Geophysical Imaging II, (23 September 1994); doi: 10.1117/12.187487
Show Author Affiliations
James G. Berryman, Lawrence Livermore National Lab. (United States)


Published in SPIE Proceedings Vol. 2301:
Mathematical Methods in Geophysical Imaging II
Siamak Hassanzadeh, Editor(s)

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