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