Modified Three-Term Conjugate Gradient Method and Its Applications

Joint Authors

Liu, Jiankun
Du, Shouqiang

Source

Mathematical Problems in Engineering

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-04-17

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Civil Engineering

Abstract EN

We propose a modified three-term conjugate gradient method with the Armijo line search for solving unconstrained optimization problems.

The proposed method possesses the sufficient descent property.

Under mild assumptions, the global convergence property of the proposed method with the Armijo line search is proved.

Due to simplicity, low storage, and nice convergence properties, the proposed method is used to solve M-tensor systems and a kind of nonsmooth optimization problems with l1-norm.

Finally, the given numerical experiments show the efficiency of the proposed method.

American Psychological Association (APA)

Liu, Jiankun& Du, Shouqiang. 2019. Modified Three-Term Conjugate Gradient Method and Its Applications. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1196304

Modern Language Association (MLA)

Liu, Jiankun& Du, Shouqiang. Modified Three-Term Conjugate Gradient Method and Its Applications. Mathematical Problems in Engineering No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1196304

American Medical Association (AMA)

Liu, Jiankun& Du, Shouqiang. Modified Three-Term Conjugate Gradient Method and Its Applications. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1196304

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1196304