The role of the generalized inverse in structural dynamics

W. M. To, D. J. Ewins

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


The generalized inverse is proving to be a very useful tool in modern linear matrix theory, in particular as a means of determining the least squares solution of a set of simultaneous equations which is overdetermined. However, application of the generalized inverse in structural identification and model updating exercises is not completely successful, and it is found that its occasional failure may be due to a lack of understanding of the fundamental principals of the generalized inverse. The objective of this paper is to review the basic theory of the generalized inverse and to discuss its applicability in structural dynamics applications.

Original languageEnglish
Pages (from-to)185-195
Number of pages11
JournalJournal of Sound and Vibration
Issue number2
Publication statusPublished - 21 Sept 1995
Externally publishedYes


Dive into the research topics of 'The role of the generalized inverse in structural dynamics'. Together they form a unique fingerprint.

Cite this