A Fractional Trust Region Method for Linear Equality Constrained Optimization

Joint Authors

Ni, Qin
Zhu, Honglan
Zhang, Liwei
Weiwei, Yang

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-07-14

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

A quasi-Newton trust region method with a new fractional model for linearly constrained optimization problems is proposed.

We delete linear equality constraints by using null space technique.

The fractional trust region subproblem is solved by a simple dogleg method.

The global convergence of the proposed algorithm is established and proved.

Numerical results for test problems show the efficiency of the trust region method with new fractional model.

These results give the base of further research on nonlinear optimization.

American Psychological Association (APA)

Zhu, Honglan& Ni, Qin& Zhang, Liwei& Weiwei, Yang. 2016. A Fractional Trust Region Method for Linear Equality Constrained Optimization. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103620

Modern Language Association (MLA)

Zhu, Honglan…[et al.]. A Fractional Trust Region Method for Linear Equality Constrained Optimization. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1103620

American Medical Association (AMA)

Zhu, Honglan& Ni, Qin& Zhang, Liwei& Weiwei, Yang. A Fractional Trust Region Method for Linear Equality Constrained Optimization. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103620

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1103620