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This article gives a common theoretical treatment for gradient and Newton type methods for general classes of problems.
Physical Description
13 p.
Notes
Abstract: 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.
Publication Title:
Electronic Journal of Differential Equations
Volume:
2007
Issue:
124
Peer Reviewed:
Yes
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