求解无约束优化问题的共轭梯度法:新的研究与应用

IF 1.1 Q1 MATHEMATICS

JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI:10.47974/jim-1465

Huda Y. Najm, Huda I. Ahmed

{"title":"求解无约束优化问题的共轭梯度法:新的研究与应用","authors":"Huda Y. Najm, Huda I. Ahmed","doi":"10.47974/jim-1465","DOIUrl":null,"url":null,"abstract":"Conjugate gradient (CG) is a simple and inexpensive method for solving large-scale unconstrained optimization problems. A new value for the Dai-Liao formula’s parameter is offered based on this property. For the sake of this discussion, the following characteristics are relevant: descent conditions and global convergence may be found for the Wolfe-Powell line. The algorithm provided here outperforms other techniques. The conjugate gradient was also utilized in regression analysis and showed a better result than least squares and trend lines.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Conjugate gradient method for solving unconstrained optimization problems: A new investigation and application\",\"authors\":\"Huda Y. Najm, Huda I. Ahmed\",\"doi\":\"10.47974/jim-1465\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Conjugate gradient (CG) is a simple and inexpensive method for solving large-scale unconstrained optimization problems. A new value for the Dai-Liao formula’s parameter is offered based on this property. For the sake of this discussion, the following characteristics are relevant: descent conditions and global convergence may be found for the Wolfe-Powell line. The algorithm provided here outperforms other techniques. The conjugate gradient was also utilized in regression analysis and showed a better result than least squares and trend lines.\",\"PeriodicalId\":46278,\"journal\":{\"name\":\"JOURNAL OF INTERDISCIPLINARY MATHEMATICS\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JOURNAL OF INTERDISCIPLINARY MATHEMATICS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47974/jim-1465\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47974/jim-1465","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

共轭梯度法是求解大规模无约束优化问题的一种简单、廉价的方法。基于这一性质，给出了代辽公式参数的新值。为了便于讨论，以下特征是相关的:沃尔夫-鲍威尔线可能存在下降条件和全局收敛。这里提供的算法优于其他技术。共轭梯度法也被用于回归分析，其结果优于最小二乘法和趋势线。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Conjugate gradient method for solving unconstrained optimization problems: A new investigation and application

Conjugate gradient (CG) is a simple and inexpensive method for solving large-scale unconstrained optimization problems. A new value for the Dai-Liao formula’s parameter is offered based on this property. For the sake of this discussion, the following characteristics are relevant: descent conditions and global convergence may be found for the Wolfe-Powell line. The algorithm provided here outperforms other techniques. The conjugate gradient was also utilized in regression analysis and showed a better result than least squares and trend lines.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.