Author(s):
Júdice, Joaquim 
; Sherali, Hanif ; Ribeiro, Isabel M.
Date: 2007
Persistent ID: http://hdl.handle.net/10316/7723
Origin: Estudo Geral - Universidade de Coimbra
Document details
The eigenvalue complementarity problem
Description
Abstract In this paper an eigenvalue complementarity problem (EiCP) is studied, which finds its origins in the solution of a contact problem in mechanics. The EiCP is shown to be equivalent to a Nonlinear Complementarity Problem, a Mathematical Programming Problem with Complementarity Constraints and a Global Optimization Problem. A finite Reformulation–Linearization Technique (Rlt)-based tree search algorithm is introduced for processing the EiCP via the lattermost of these formulations. Computational experience is included to highlight the efficacy of the above formulations and corresponding techniques for the solution of the EiCP. http://dx.doi.org/10.1007/s10589-007-9017-0
Abstract In this paper an eigenvalue complementarity problem (EiCP) is studied, which finds its origins in the solution of a contact problem in mechanics. The EiCP is shown to be equivalent to a Nonlinear Complementarity Problem, a Mathematical Programming Problem with Complementarity Constraints and a Global Optimization Problem. A finite Reformulation–Linearization Technique (Rlt)-based tree search algorithm is introduced for processing the EiCP via the lattermost of these formulations. Computational experience is included to highlight the efficacy of the above formulations and corresponding techniques for the solution of the EiCP. http://dx.doi.org/10.1007/s10589-007-9017-0
Document Type
Article
Language English
Language English
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