Abstract
In this work we explore the relation of the problem of satisfying a sufficient decrease criterion in a damped Newton's method to the problem of stepsize selection for continuation methods. We show that there is a strong connection between the two, and that standard line search techniques used for computing damping parameters have direct application to the stepsize selection problem. The performance of the resulting continuation technique is demonstrated for several standard example problems.
Original language | English (US) |
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Pages (from-to) | 67-77 |
Number of pages | 11 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 26 |
Issue number | 1-2 |
DOIs | |
State | Published - Jun 1989 |
Keywords
- Continuation
- damped Newton's method
- nonlinear systems
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics