用一类新的拟牛顿方程求解无约束优化问题

IF 1.1 Q1 MATHEMATICS JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI:10.47974/jim-1493

Basim A. Hassan, Hawraz N. Jabbar

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引用次数: 0

摘要

拟牛顿在构造Hessian近似中起着基础作用，在此基础上建立了拟牛顿算法。本文给出了一类新的拟牛顿方程。该方法总能生成一个新的下降搜索方向。在适当的条件下，证明了该方法具有全局收敛性。对比结果表明了所提方法的计算效率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Using a new class quasi-Newton equation for solving unconstrained optimization problems

The quasi-Newton plays a basic role in constructing the Hessian approximation, and quasi-Newton algorithms are built based on it. In this paper, a new class quasi-Newton equation is presented. The proposed method always generates a new descent search direction. Under appropriate conditions, the new method is proved to possess global convergence. Comparative results show the computational efficiency of the proposed method.

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来源期刊

JOURNAL OF INTERDISCIPLINARY MATHEMATICS MATHEMATICS-

CiteScore

2.70

自引率

23.50%

发文量

141

期刊介绍： The Journal of Interdisciplinary Mathematics (JIM) is a world leading journal publishing high quality, rigorously peer-reviewed original research in mathematical applications to different disciplines, and to the methodological and theoretical role of mathematics in underpinning all scientific disciplines. The scope is intentionally broad, but papers must make a novel contribution to the fields covered in order to be considered for publication. Topics include, but are not limited, to the following: • Interface of Mathematics with other Disciplines • Theoretical Role of Mathematics • Methodological Role of Mathematics • Interface of Statistics with other Disciplines • Cognitive Sciences • Applications of Mathematics • Industrial Mathematics • Dynamical Systems • Mathematical Biology • Fuzzy Mathematics The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Editor-in-Chief’s discretion. Special issue proposals in cutting-edge and timely areas of research in interdisciplinary mathematical research are encouraged – please contact the Editor-in-Chief in the first instance.