Open AccessSome aspects of non‐linearity in inversion
Author(s) -
Kennett B. L. N.
Publication year - 1978
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1978.tb04278.x
Subject(s) - inverse theory , linearity , bounded function , inversion (geology) , mathematics , nonlinear system , inverse problem , inverse , perturbation (astronomy) , mathematical analysis , computer science , geology , physics , geometry , structural basin , surface wave , telecommunications , paleontology , quantum mechanics
Summary. A direct attempt is made to examine the influence of non‐linearity, in the dependence of data on parameters, on model resolution. An extension of the Marquardt approach to the non‐linear case leads to bounded domains in discrete parameter space for a specified level of data misfit. The simplest class of non‐linear influences on these domains may be simulated by modified linear terms via perturbation theory. Asymmetric non‐linear effects are considered using an ensemble of attempts at the solution of the inverse problem.