DC programming and DCA: thirty years of developments
HA Le Thi, T Pham Dinh - Mathematical Programming, 2018 - Springer
The year 2015 marks the 30th birthday of DC (Difference of Convex functions) programming
and DCA (DC Algorithms) which constitute the backbone of nonconvex programming and …
and DCA (DC Algorithms) which constitute the backbone of nonconvex programming and …
On the cone eigenvalue complementarity problem for higher-order tensors
In this paper, we consider the tensor generalized eigenvalue complementarity problem
(TGEiCP), which is an interesting generalization of matrix eigenvalue complementarity …
(TGEiCP), which is an interesting generalization of matrix eigenvalue complementarity …
[HTML][HTML] Complementary eigenvalues of graphs
R Fernandes, J Judice, V Trevisan - Linear Algebra and its Applications, 2017 - Elsevier
In this paper, we study the Eigenvalue Complementarity Problem (EiCP) when its matrix A
belongs to the class S (G)={A=[aij]: aij= aji≠ 0 iff ij∈ E}, where G=(V, E) is a connected …
belongs to the class S (G)={A=[aij]: aij= aji≠ 0 iff ij∈ E}, where G=(V, E) is a connected …
A DC programming approach for solving the symmetric eigenvalue complementarity problem
In this paper, we investigate a DC (Difference of Convex functions) programming technique
for solving large scale Eigenvalue Complementarity Problems (EiCP) with real symmetric …
for solving large scale Eigenvalue Complementarity Problems (EiCP) with real symmetric …
A new method for solving Pareto eigenvalue complementarity problems
S Adly, H Rammal - Computational Optimization and Applications, 2013 - Springer
In this paper, we introduce a new method, called the Lattice Projection Method (LPM), for
solving eigenvalue complementarity problems. The original problem is reformulated to find …
solving eigenvalue complementarity problems. The original problem is reformulated to find …
Efficient DC programming approaches for the asymmetric eigenvalue complementarity problem
In this paper, we propose nonlinear programming (NLP) formulations and difference of
convex functions (DC) programming approaches for the asymmetric eigenvalue …
convex functions (DC) programming approaches for the asymmetric eigenvalue …
A new method for solving second-order cone eigenvalue complementarity problems
S Adly, H Rammal - Journal of Optimization Theory and Applications, 2015 - Springer
In this paper, we study numerical methods for solving eigenvalue complementarity problems
involving the product of second-order cones (or Lorentz cones). We reformulate such …
involving the product of second-order cones (or Lorentz cones). We reformulate such …
Higher-degree eigenvalue complementarity problems for tensors
In this paper, we introduce a unified framework of Tensor Higher-Degree Eigenvalue
Complementarity Problem (THDEiCP), which goes beyond the framework of the typical …
Complementarity Problem (THDEiCP), which goes beyond the framework of the typical …
Copositivity and constrained fractional quadratic problems
P Amaral, IM Bomze, J Júdice - Mathematical Programming, 2014 - Springer
Abstract We provide Completely Positive and Copositive Optimization formulations for the
Constrained Fractional Quadratic Problem (CFQP) and Standard Fractional Quadratic …
Constrained Fractional Quadratic Problem (CFQP) and Standard Fractional Quadratic …