The Primal-Dual Active Set Method for a Class of Nonlinear Problems with T-Monotone Operators
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-17
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The family of primal-dual active set methods is drawing more attention in scientific and engineering applications due to its effectiveness and robustness for variational inequality problems.
In this work, we introduce and study a primal-dual active set method for the solution of the variational inequality problems with T-monotone operators.
We show that the sequence generated by the proposed method globally and monotonously converges to the unique solution of the variational inequality problem.
Moreover, the convergence rate of the proposed scheme is analyzed under the framework of the algebraic setting; i.e., the established convergence results show that the iteration number of the methods is bounded by the number of the unknowns.
Finally, numerical results show that the efficiency can be achieved by the primal-dual active set method.
American Psychological Association (APA)
He, Xiahui& Yang, Peng. 2019. The Primal-Dual Active Set Method for a Class of Nonlinear Problems with T-Monotone Operators. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1194953
Modern Language Association (MLA)
He, Xiahui& Yang, Peng. The Primal-Dual Active Set Method for a Class of Nonlinear Problems with T-Monotone Operators. Mathematical Problems in Engineering No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1194953
American Medical Association (AMA)
He, Xiahui& Yang, Peng. The Primal-Dual Active Set Method for a Class of Nonlinear Problems with T-Monotone Operators. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1194953
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194953