Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A fixed point approach to homological perturbation theory


Authors: Donald W. Barnes and Larry A. Lambe
Journal: Proc. Amer. Math. Soc. 112 (1991), 881-892
MSC: Primary 55U15
MathSciNet review: 1057939
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We show that the problem addressed by classical homological perturbation theory can be reformulated as a fixed point problem leading to new insights into the nature of its solutions. We show, under mild conditions, that the solution is essentially unique.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 55U15

Retrieve articles in all journals with MSC: 55U15


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1057939-0
PII: S 0002-9939(1991)1057939-0
Keywords: Chain homotopy, homological perturbation, fixed point, iterative methods
Article copyright: © Copyright 1991 American Mathematical Society