Stability Analysis of a Variant of the Prony Method
Joint Authors
Lentini, Marianela
Jaramillo, Rodney
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-30
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
Prony type methods are used in many engineering applications to determine the exponential fit corresponding to a dataset.
In this paper we study a variant of Prony's method that was used by Martín-Landrove et al., in a process of segmentation of T2-weighted MRI brain images.
We show the equivalence between that method and the classical Prony method and study the stability of the computed solutions with respect to noise in the data set.
In particular, we show that the relative error in the calculation of the exponential fit parameters is linear with respect to noise in the data.
Our analysis is based on classical results from linear algebra, matrix computation theory, and the theory of stability for roots of polynomials.
American Psychological Association (APA)
Jaramillo, Rodney& Lentini, Marianela. 2012. Stability Analysis of a Variant of the Prony Method. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1001560
Modern Language Association (MLA)
Jaramillo, Rodney& Lentini, Marianela. Stability Analysis of a Variant of the Prony Method. Mathematical Problems in Engineering No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-1001560
American Medical Association (AMA)
Jaramillo, Rodney& Lentini, Marianela. Stability Analysis of a Variant of the Prony Method. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1001560
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001560