Power iteration and inverse power iteration for eigenvalue complementarity problem

2019 ◽  
Vol 26 (4) ◽  
Author(s):  
Fatemeh Abdi ◽  
Fatemeh Shakeri
Keyword(s):  
Complementarity Problem ◽  
Inverse Power ◽  
Power Iteration ◽  
Eigenvalue Complementarity Problem

scholarly journals On the asymmetric eigenvalue complementarity problem

2009 ◽  
Vol 24 (4-5) ◽  
pp. 549-568 ◽  
Author(s):  
Joaquim J. Júdice ◽  
Hanif D. Sherali ◽  
Isabel M. Ribeiro ◽  
Silvério S. Rosa
Keyword(s):  
Complementarity Problem ◽  
Eigenvalue Complementarity Problem

scholarly journals The eigenvalue complementarity problem

2007 ◽  
Vol 37 (2) ◽  
pp. 139-156 ◽  
Author(s):  
Joaquim J. Júdice ◽  
Hanif D. Sherali ◽  
Isabel M. Ribeiro
Keyword(s):  
Complementarity Problem ◽  
Eigenvalue Complementarity Problem

Algebraic Connectivity Estimation Based on Decentralized Inverse Power Iteration

2016 ◽  
Vol 19 (2) ◽  
pp. 805-812
Author(s):  
Yue Wei ◽  
Hao Fang ◽  
Jie Chen ◽  
Bin Xin
Keyword(s):  
Inverse Power ◽  
Algebraic Connectivity ◽  
Power Iteration

On the Quadratic Eigenvalue Complementarity Problem over a general convex cone

2015 ◽  
Vol 271 ◽  
pp. 594-608 ◽  
Author(s):  
Carmo P. Brás ◽  
Masao Fukushima ◽  
Alfredo N. Iusem ◽  
Joaquim J. Júdice
Keyword(s):  
Complementarity Problem ◽  
Convex Cone ◽  
Eigenvalue Complementarity Problem ◽  
General Convex ◽  
Quadratic Eigenvalue

On the numerical solution of the quadratic eigenvalue complementarity problem

2015 ◽  
Vol 72 (3) ◽  
pp. 721-747 ◽  
Author(s):  
Alfredo N. Iusem ◽  
Joaquim J. Júdice ◽  
Valentina Sessa ◽  
Hanif D. Sherali
Keyword(s):  
Numerical Solution ◽  
Complementarity Problem ◽  
Eigenvalue Complementarity Problem ◽  
Quadratic Eigenvalue

scholarly journals A Kind of Stochastic Eigenvalue Complementarity Problems

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Ying-xiao Wang ◽  
Shou-qiang Du
Keyword(s):  
Complementarity Problem ◽  
Eigenvalue Problems ◽  
Complementarity Problems ◽  
Smoothing Newton Method ◽  
Convergence Properties ◽  
Eigenvalue Complementarity Problem ◽  
Interest In Research ◽  
Global And Local ◽  
The Given ◽  
Nonnegative Constraints

With the development of computer science, computational electromagnetics have also been widely used. Electromagnetic phenomena are closely related to eigenvalue problems. On the other hand, in order to solve the uncertainty of input data, the stochastic eigenvalue complementarity problem, which is a general formulation for the eigenvalue complementarity problem, has aroused interest in research. So, in this paper, we propose a new kind of stochastic eigenvalue complementarity problem. We reformulate the given stochastic eigenvalue complementarity problem as a system of nonsmooth equations with nonnegative constraints. Then, a projected smoothing Newton method is presented to solve it. The global and local convergence properties of the given method for solving the proposed stochastic eigenvalue complementarity problem are also given. Finally, the related numerical results show that the proposed method is efficient.

On the symmetric quadratic eigenvalue complementarity problem

2013 ◽  
Vol 29 (4) ◽  
pp. 751-770 ◽  
Author(s):  
Luís M. Fernandes ◽  
Joaquim J. Júdice ◽  
Masao Fukushima ◽  
Alfredo Iusem
Keyword(s):  
Complementarity Problem ◽  
Eigenvalue Complementarity Problem ◽  
Quadratic Eigenvalue
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