Two Improved Conjugate Gradient Methods with Application in Compressive Sensing and Motion Control
Joint Authors
Sun, Min
Tian, Maoying
Liu, Jing
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
To solve the monotone equations with convex constraints, a novel multiparameterized conjugate gradient method (MPCGM) is designed and analyzed.
This kind of conjugate gradient method is derivative-free and can be viewed as a modified version of the famous Fletcher–Reeves (FR) conjugate gradient method.
Under approximate conditions, we show that the proposed method has global convergence property.
Furthermore, we generalize the MPCGM to solve unconstrained optimization problem and offer another novel conjugate gradient method (NCGM), which satisfies the sufficient descent property without any line search.
Global convergence of the NCGM is also proved.
Finally, we report some numerical results to show the efficiency of two novel methods.
Specifically, their practical applications in compressive sensing and motion control of robot manipulator are also investigated.
American Psychological Association (APA)
Sun, Min& Liu, Jing& Tian, Maoying. 2020. Two Improved Conjugate Gradient Methods with Application in Compressive Sensing and Motion Control. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1202049
Modern Language Association (MLA)
Sun, Min…[et al.]. Two Improved Conjugate Gradient Methods with Application in Compressive Sensing and Motion Control. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1202049
American Medical Association (AMA)
Sun, Min& Liu, Jing& Tian, Maoying. Two Improved Conjugate Gradient Methods with Application in Compressive Sensing and Motion Control. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1202049
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1202049