Global convergence of new three terms conjugate gradient for unconstrained optimization

Autor:	Ahmed Anwer Mustafa, Salah Gazi Shareef
Rok vydání:	2021
Předmět:	MathematicsofComputing_NUMERICALANALYSIS descent condition Unconstrained optimization sufficient descent conjugate gradient method global convergent Conjugate gradient method Convergence (routing) QA1-939 Applied mathematics unconstrained optimizations conjugacy condition Mathematics
Zdroj:	General Letters in Mathematics, Vol 11, Iss 1, Pp 1-9 (2021)
ISSN:	2519-9277 2519-9269
DOI:	10.31559/glm2021.11.1.1
Popis:	In this paper, a new formula of 𝛽𝑘 is suggested for the conjugate gradient method of solving unconstrained optimization problems based on three terms and step size of cubic. Our new proposed CG method has descent condition, sufficient descent condition, conjugacy condition, and global convergence properties. Numerical comparisons with two standard conjugate gradient algorithms show that this algorithm is very effective depending on the number of iterations and the number of functions evaluated.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60e6ac5d08039063d5d1349a13fc386e https://doi.org/10.31559/glm2021.11.1.1 Zobrazit plný text záznamu