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Author:

Zhang, Kaili (Zhang, Kaili.) | Chen, Haibin (Chen, Haibin.) | Zhao, Pengfei (Zhao, Pengfei.)

Indexed by:

Scopus SCIE

Abstract:

As an extension of linear complementary problem, tensor complementary problem has been effectively applied in n-person noncooperative game. And a multitude of researchers have focused on its properties and theories, while the valid algorithms for tensor complementary problem is still deficient. In this paper, stimulated by the potential reduction method for linear complementarity problem, we present a new algorithm for the tensor complementarity problem, which combines the idea of damped Newton method and the interior point method. Utilizing the new algorithm, we settle the tensor complementary problem with the underlying tensor being diagonalizable and positive definite. Furthermore, the global convergence of the iterative scheme is theoretically guaranteed and the given preliminary numerical experiments indicate the efficiency of the method.

Keyword:

diagonalizable tensor complementary problem Positive definiteness potential reduction algorithm interior point method

Author Community:

  • [ 1 ] [Zhang, Kaili]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Chen, Haibin]Qufu Normal Univ, Sch Management Sci, Rizhao 276800, Shandong, Peoples R China
  • [ 3 ] [Zhao, Pengfei]Beijing Univ Technol, Coll Architecture & Civil Engn, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Chen, Haibin]Qufu Normal Univ, Sch Management Sci, Rizhao 276800, Shandong, Peoples R China

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Source :

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION

ISSN: 1547-5816

Year: 2019

Issue: 2

Volume: 15

Page: 429-443

1 . 3 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:136

JCR Journal Grade:3

Cited Count:

WoS CC Cited Count: 29

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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