A Double Nonmonotone Quasi-Newton Method for Nonlinear Complementarity Problem Based on Piecewise NCP Functions

Joint Authors

Yu, Zhensheng
Wang, Zilun
Su, Ke

Source

Mathematical Problems in Engineering

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-12-16

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Civil Engineering

Abstract EN

In this paper, a double nonmonotone quasi-Newton method is proposed for the nonlinear complementarity problem.

By using 3-1 piecewise and 4-1 piecewise nonlinear complementarity functions, the nonlinear complementarity problem is reformulated into a smooth equation.

By a double nonmonotone line search, a smooth Broyden-like algorithm is proposed, where a single solution of a smooth equation at each iteration is required with the reduction in the scale of the calculation.

Under suitable conditions, the global convergence of the algorithm is proved, and numerical results with some practical applications are given to show the efficiency of the algorithm.

American Psychological Association (APA)

Yu, Zhensheng& Wang, Zilun& Su, Ke. 2020. A Double Nonmonotone Quasi-Newton Method for Nonlinear Complementarity Problem Based on Piecewise NCP Functions. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1197032

Modern Language Association (MLA)

Yu, Zhensheng…[et al.]. A Double Nonmonotone Quasi-Newton Method for Nonlinear Complementarity Problem Based on Piecewise NCP Functions. Mathematical Problems in Engineering No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1197032

American Medical Association (AMA)

Yu, Zhensheng& Wang, Zilun& Su, Ke. A Double Nonmonotone Quasi-Newton Method for Nonlinear Complementarity Problem Based on Piecewise NCP Functions. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1197032

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1197032