An optimal choice Dai-Liao conjugate gradient algorithm for unconstrained optimization and portfolio selection

In this research, we propose an optimal choice for the non-negative constant in the Dai-Liao conjugate gradient formula based on the prominent Barzilai-Borwein approach by leveraging the nice features of the Frobenius matrix norm. The global convergence of the new modification is demonstrated using...

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Vydáno v:AIMS mathematics Ročník 9; číslo 1; s. 642 - 664
Hlavní autoři: Sabi'u, Jamilu, Sulaiman, Ibrahim Mohammed, Kaelo, P., Malik, Maulana, Kamaruddin, Saadi Ahmad
Médium: Journal Article
Jazyk:angličtina
Vydáno: AIMS Press 01.01.2024
Témata:
bb approach
descent property
global convergence
unconstrained optimization
ISSN:2473-6988, 2473-6988
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Abstract In this research, we propose an optimal choice for the non-negative constant in the Dai-Liao conjugate gradient formula based on the prominent Barzilai-Borwein approach by leveraging the nice features of the Frobenius matrix norm. The global convergence of the new modification is demonstrated using some basic assumptions. Numerical comparisons with similar algorithms show that the new approach is reliable in terms of the number of iterations, computing time, and function evaluations for unconstrained minimization, portfolio selection and image restoration problems.
AbstractList In this research, we propose an optimal choice for the non-negative constant in the Dai-Liao conjugate gradient formula based on the prominent Barzilai-Borwein approach by leveraging the nice features of the Frobenius matrix norm. The global convergence of the new modification is demonstrated using some basic assumptions. Numerical comparisons with similar algorithms show that the new approach is reliable in terms of the number of iterations, computing time, and function evaluations for unconstrained minimization, portfolio selection and image restoration problems.
Author Kamaruddin, Saadi Ahmad
Sulaiman, Ibrahim Mohammed
Kaelo, P.
Sabi'u, Jamilu
Malik, Maulana
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SubjectTerms bb approach
descent property
global convergence
unconstrained optimization
Title An optimal choice Dai-Liao conjugate gradient algorithm for unconstrained optimization and portfolio selection
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