A Cauchy Point Direction Trust Region Algorithm for Nonlinear Equations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-24
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, a Cauchy point direction trust region algorithm is presented to solve nonlinear equations.
The search direction is an optimal convex combination of the trust region direction and the Cauchy point direction with the sufficiently descent property and the automatic trust region property.
The global convergence of the proposed algorithm is proven under some conditions.
The preliminary numerical results demonstrate that the proposed algorithm is promising and has better convergence behaviors than the other two existing algorithms for solving large-scale nonlinear equations.
American Psychological Association (APA)
Sheng, Zhou& Luo, Dan. 2020. A Cauchy Point Direction Trust Region Algorithm for Nonlinear Equations. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1194938
Modern Language Association (MLA)
Sheng, Zhou& Luo, Dan. A Cauchy Point Direction Trust Region Algorithm for Nonlinear Equations. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1194938
American Medical Association (AMA)
Sheng, Zhou& Luo, Dan. A Cauchy Point Direction Trust Region Algorithm for Nonlinear Equations. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1194938
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194938