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An ordinary differential equation for modeling Halpern fixed-point algorithm.
- Source :
-
Applied Mathematics Letters . Feb2024, Vol. 148, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- The ordinary differential equation is a powerful tool for analyzing optimization algorithm. Motivated by the fact, this paper revisits Halpern fixed-point algorithm from an ordinary differential equation. More specifically, we establish a second-order ordinary differential equation with Hessian-driven damping, which is the limit of Halpern fixed-point algorithm. The Hessian-driven damping makes it possible to significantly attenuate the oscillations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *OPTIMIZATION algorithms
*ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 08939659
- Volume :
- 148
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 173435065
- Full Text :
- https://doi.org/10.1016/j.aml.2023.108889