Determination of an optimal regularization factor in system identification with Tikhonov regularization for linear elastic continua

• DOI: 10.1002/nme.219
• Publication Date: 2002-08-25T21:59:21Z
• Authors: Hyun Woo Park; Soobong Shin; Hae Sung Lee
• Keywords: Regularization; Backus–Gilbert method; Singular value

Abstract This paper presents a geometric mean scheme (GMS) to determine an optimal regularization factor for Tikhonov technique in the system identification problems of linear elastic continua. The characteristics non‐linear inverse and role are investigated by singular value decomposition sensitivity matrix responses. It is shown that results solution generalized average between priori estimates posteriori solution. Based on this observation, defined as maximum minimum validity GMS demonstrated through two numerical examples with measurement errors modelling errors. Copyright © 2001 John Wiley & Sons, Ltd.