Abstract
This paper proposes a verification method for the existence of solutions of nonsmooth equations. We generalize the Krawczyk operator to nonsmooth equations by using the mean-value theorem for nonsmooth functions. We establish a semi-local convergence theorem for the generalized Newton method for nonsmooth equations. The proposed method is a combination of the generalized Krawczyk operator and the semi-local convergence theorem.
| Original language | English |
|---|---|
| Pages (from-to) | 281-294 |
| Number of pages | 14 |
| Journal | Computing (Vienna/New York) |
| Volume | 58 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Jan 1997 |
| Externally published | Yes |
Keywords
- Nonsmooth equations
- Verification of solutions
ASJC Scopus subject areas
- Software
- Theoretical Computer Science
- Numerical Analysis
- Computer Science Applications
- Computational Theory and Mathematics
- Computational Mathematics
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