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论文类型：期刊论文
第一作者：Lu, Yue
通讯作者：Lu, Y (reprint author), Dalian Univ Technol, Sch Math Sci, Inst Operat Res & Control Theory, Dalian 116024, Peoples R China.
合写作者：Zhang, Liwei
发表时间：2015-12-01
发表刊物：COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
收录刊物：SCIE、EI、Scopus
卷号：62
期号：3
页面范围：815-850
ISSN号：0926-6003
关键字：Inverse damped gyroscopic eigenvalue problem; Augmented Lagrangian method; Accelerated proximal gradient method; Iteration-complexity
摘要：In this paper, we propose an augmented Lagrangian method based on the accelerated proximal gradient (APG) strategy for an inverse damped gyroscopic eigenvalue problem (IDGEP), which is a special case of the classical inverse quadratic eigenvalue problem. Under mild conditions, we show that the whole sequence of iterations generated by the proposed algorithm converges to the unique solution of the IDGEP. In view of the iteration-complexity, the proposed algorithm requires at most outer iterations and at most APG calls to obtain an -feasible and -optimal solution of the IDGEP. Numerical results indicate that the proposed algorithm can solve the test problems efficiently.