An Inverse Function Theorem via Continuous Newton’s Method

Authors

Alfonso Castro, Harvey Mudd CollegeFollow
J. W. Neuberger, University of North Texas

Document Type

Article - postprint

Department

Mathematics (HMC)

Publication Date

8-2001

Abstract

We prove an inverse function theorem of the Nash-Moser type. The main difference between our method and that of [4] is that we use continuous steepest descent while [4] uses a combination of Newton type iterations and approximate inverses. We bypass the loss of derivatives problem by working on finite dimensional subspaces of infinitely differentiable functions.

Comments

Author's post-print manuscript available for download.

For the publisher's PDF, please visit http://dx.doi.org/10.1016/S0362-546X(01)00439-4

Rights Information

© 2001 Elsevier

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1016/S0362-546X(01)00439-4

Recommended Citation

Castro, Alfonso and J. W. Neuberger. “An inverse function theorem via continuous Newton’s method”, Nonlinear Analysis 47 (2001), pp. 3223-3229.