Newton's method in the context of gradients
MetadataShow full metadata
This paper gives a common theoretical treatment for gradient and Newton type methods for general classes of problems. First, for Euler-Lagrange equations Newton's method is characterized as an (asymptotically) optimal variable steepest descent method. Second, Sobolev gradient type minimization is developed for general problems using a continuous Newton method which takes into account a "boundary condition" operator.
CitationKaratson, J., & Neuberger, J. W. (2007). Newton's method in the context of gradients. Electronic Journal of Differential Equations, 2007(124), pp. 1-13.
This work is licensed under a Creative Commons Attribution 4.0 International License.