Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming

Joint Authors

Zhu, Zhichuan
Liou, Yeong-Cheng

Source

Journal of Mathematics

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-12-15

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

In the paper, the aggregate constraint-shifting homotopy method for solving general nonconvex nonlinear programming is considered.

The aggregation is only about inequality constraint functions.

Without any cone condition for the constraint functions, the existence and convergence of the globally convergent solution to the K-K-T system are obtained for both feasible and infeasible starting points under much weaker conditions.

American Psychological Association (APA)

Zhu, Zhichuan& Liou, Yeong-Cheng. 2020. Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1188260

Modern Language Association (MLA)

Zhu, Zhichuan& Liou, Yeong-Cheng. Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming. Journal of Mathematics No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1188260

American Medical Association (AMA)

Zhu, Zhichuan& Liou, Yeong-Cheng. Strong Convergence on the Aggregate Constraint-Shifting Homotopy Method for Solving General Nonconvex Programming. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1188260

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1188260