Abstract
In this paper, a new hybrid conjugate gradient method for solving monotone nonlinear equations is introduced. The scheme is a combination of the Fletcher-Reeves (FR) and Polak-Ribiére-Polyak (PRP) conjugate gradient methods with the Solodov and Svaiter projection strategy. Using suitable assumptions, the global convergence of the scheme with monotone line search is provided. Lastly, a numerical experiment was used to enumerate the suitability of the proposed scheme for large-scale problems.
| Original language | English |
|---|---|
| Pages (from-to) | 17-26 |
| Number of pages | 10 |
| Journal | Journal of Mathematical and Fundamental Sciences |
| Volume | 52 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2020 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2020 Published by ITB Institute for Research and Community Services,.
Keywords
- Global convergence
- Line search
- Monotone equations
- Projection strategy
ASJC Scopus subject areas
- General Chemistry
- General Mathematics
- General Biochemistry, Genetics and Molecular Biology
- General Agricultural and Biological Sciences
- General
- General Physics and Astronomy
- General Earth and Planetary Sciences
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