A bootstrap method for sum-of-poles approximations

Xu, Kuan, Jiang, Shidong (2012) A bootstrap method for sum-of-poles approximations. Journal of Scientific Computing, 55 (1). ISSN 0885-7474. (doi:10.1007/s10915-012-9620-9)

Abstract

A bootstrap method is presented for finding efficient sum-of-poles approximations of causal functions. The method is based on a recursive application of the nonlinear least squares optimization scheme developed in (Alpert et al. in SIAM J. Numer. Anal. 37:1138–1164, 2000), followed by the balanced truncation method for model reduction in computational control theory as a final optimization step. The method is expected to be useful for a fairly large class of causal functions encountered in engineering and applied physics. The performance of the method and its application to computational physics are illustrated via several numerical examples.

Item Type:	Article
DOI/Identification number:	10.1007/s10915-012-9620-9
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis
Divisions:	Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User:	Kuan Xu
Date Deposited:	09 Nov 2016 17:24 UTC
Last Modified:	29 May 2019 18:09 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/58494 (The current URI for this page, for reference purposes)