USE OF SPECTRAL THEORY OF MATRICES TO STUDY SEISMIC MOVEMENTS

Mircea Cîrnu () and Gabriela Cîrţală ()
Additional contact information
Mircea Cîrnu: University “Politehnica” of Buchares
Gabriela Cîrţală: University “Politehnica” of Buchares

Journal of Information Systems & Operations Management, 2011, vol. 5, issue 2, 275-283

Abstract: To the worldwide efforts made for understand the dynamics of seismic movements, a significant contribution was made by the research group of Massachusetts Institute of Technology. Such a contribution was given in 1983 by L. R. Lines and S. Treitel, [4]. Starting from ideas contained in this paper [4], we present here, in all mathematical details, how the stages of development of earthquake can be characterized. The impulse response of the main filter that characterizes the seismic movement is obtained by minimizing a second moment norm. This is made by Lagrange multipliers method. The obtained impulse responses are found to be eigenvectors of some matrix, named moment of inertia matrix. The properties of this matrix are specified. A simple example to emphasize the theory, including the deduction of relations between the main parameters of the earthquake is given, using discrete convolution and deconvolution. Several conclusions are finally presented.

Keywords: earthquake; second moment norm minimization; Lagrange multipliers method; eigenvalues and eigenvectors of a matrix (search for similar items in EconPapers)
Date: 2011
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.rebe.rau.ro/RePEc/rau/jisomg/WI11/JISOM-WI11-A6.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:rau:jisomg:v:5:y:2011:i:2:p:275-283

Access Statistics for this article

More articles in Journal of Information Systems & Operations Management from Romanian-American University Contact information at EDIRC.
Bibliographic data for series maintained by Alex Tabusca ().