scholarly journals A Newton-type algorithm for the tensor eigenvalue complementarity problem and some applications

2020 ◽  
Vol 90 (327) ◽  
pp. 215-231
Author(s):  
Liping Zhang ◽  
Chiyu Chen
Keyword(s):  
Complementarity Problem ◽  
Eigenvalue Complementarity Problem ◽  
Type Algorithm ◽  
Tensor Eigenvalue

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

scholarly journals A local Jacobian smoothing method for solving Nonlinear Complementarity Problems

2020 ◽  
Vol 25 (1) ◽  
pp. 149-174
Author(s):  
Favian E Arenas ◽  
Héctor Jairo Martínez ◽  
Rosana Pérez
Keyword(s):  
Complementarity Problem ◽  
Complementarity Problems ◽  
Nonlinear Complementarity Problem ◽  
Smoothing Method ◽  
System Of Equations ◽  
Nonlinear Complementarity ◽  
Complementarity Functions ◽  
Type Algorithm ◽  
Numerical Performance ◽  
Generalized Newton

In this paper, we present a smoothing of a family of nonlinear complementarity functions and use its properties in combination with the smooth Jacobian strategy to present a new generalized Newton-type algorithm to solve a nonsmooth system of equations equivalent to the Nonlinear Complementarity Problem. In addition, we prove that the algorithm converges locally and q-quadratically, and analyze its numerical performance.

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
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