On the existence of Darboux transformations for banded matrices

D. Barrios Rolanía and D. Manrique

Applied Mathematics and Computation, 2015, vol. 253, issue C, 116-125

Abstract: The Darboux transformations provide, joint with other applications, a method for obtaining solutions of some integrable systems. In this work, the concepts of Darboux factorization and Darboux transformations for arbitrary Hessenberg banded matrices are analyzed. Specifically, the existence of this kind of factorization is studied, and some sufficient conditions for the uniqueness are determined.

Keywords: Factorization of matrices; Banded matrices; Darboux transformations (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S009630031401707X
Full text for ScienceDirect subscribers only

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:eee:apmaco:v:253:y:2015:i:c:p:116-125

DOI: 10.1016/j.amc.2014.12.053

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().