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gradient methods

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15 - Gradient Methods for Nonlinear Inversion
from Part IV - Inversion for Earth Structure
Brian L. N. Kennett, Australian National University, Canberra, Andreas Fichtner
Book:

Exploiting Seismic Waveforms

Published online:

16 November 2020

Print publication:

03 December 2020, pp 355-377
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Summary

We provide a broad survey of methods for inversion relevant to waveforms, showing how inversions can be performed for models described by very large numbers of parameters. As are needed for seismic tomography We concentrate on numerical optimisation of a composite misfit function using descent methods . We discuss steepest descent, conjugate gradient, quasi-Newton and subspace methods providing specific algorithms and illustrations.