A Look at the Tool of BYRD and NOCEDAL

Huang, Linghua and Li, Guoyin and Yuan, Gonglin (2011) A Look at the Tool of BYRD and NOCEDAL. American Journal of Computational Mathematics, 01 (04). pp. 240-246. ISSN 2161-1203

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Official URL: https://doi.org/10.4236/ajcm.2011.14028

Abstract

A power tool for the analysis of quasi-Newton methods has been proposed by Byrd and Nocedal ([1], 1989). The purpose of this paper is to make a study to the basic property (BP) given in [1]. As a result of the BP, a sufficient condition of global convergence for a class of quasi-Newton methods for solving unconstrained minimization problems without convexity assumption is given. A modified BFGS formula is designed to match the requirements of the sufficient condition. The numerical results show that the proposed method is very encouraging.

Item Type:	Article
Subjects:	Science Repository > Mathematical Science
Depositing User:	Managing Editor
Date Deposited:	22 Jun 2023 04:52
Last Modified:	26 Oct 2023 03:43
URI:	http://research.manuscritpub.com/id/eprint/2504

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