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Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization


Citation

Hong, Seng Sim and Wah, June Leong and Chuei, Yee Chen and Ibrahim, Siti Nur Iqmal (2018) Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization. Numerical Algebra, Control and Optimization, 8 (3). 377 - 387. ISSN 2155-3289, ESSN: 2155-3297

Abstract

In this paper, we aim to propose some spectral gradient methods via variational technique under log-determinant norm. The spectral parameters satisfy the modified weak secant relations that inspired by the multistep approximation for solving large scale unconstrained optimization. An executable code is developed to test the efficiency of the proposed method with spectral gradient method using standard weak secant relation as constraint. Numerical results are presented which suggest a better performance has been achieved.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.3934/naco.2018024
Publisher: AIMS
Keywords: Modified weak secant relation; Spectral gradient methods; Log-determinant norm; Large scale; Unconstrained optimization.
Depositing User: Mr. Sazali Mohamad
Date Deposited: 17 Mar 2020 08:16
Last Modified: 17 Mar 2020 08:16
Altmetrics: http://www.altmetric.com/details.php?domain=psair.upmedu.my&doi= 10.3934/naco.2018024
URI: http://psasir.upm.edu.my/id/eprint/75051
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