[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 …

On the computation of all eigenvalues for the eigenvalue complementarity problem

LM Fernandes, JJ Júdice, HD Sherali… - Journal of Global …, 2014 - Springer
In this paper, a parametric algorithm is introduced for computing all eigenvalues for two
Eigenvalue Complementarity Problems discussed in the literature. The algorithm searches a …

A block active set algorithm with spectral choice line search for the symmetric eigenvalue complementarity problem

CP Brás, A Fischer, JJ Júdice, K Schönefeld… - Applied Mathematics and …, 2017 - Elsevier
In this paper, we address the solution of the symmetric eigenvalue complementarity problem
(EiCP) by treating an equivalent reformulation of finding a stationary point of a fractional …

Splitting methods for the eigenvalue complementarity problem

AN Iusem, JJ Júdice, V Sessa… - … Methods and Software, 2019 - Taylor & Francis
We study splitting methods for solving the Eigenvalue Complementarity Problem (EiCP). We
introduce four variants, which depend on the properties (symmetry, nonsymmetry, positive …

Improved dc programming approaches for solving the quadratic eigenvalue complementarity problem

YS Niu, J Júdice, HA Le Thi, DT Pham - Applied Mathematics and …, 2019 - Elsevier
In this paper, we discuss the solution of a Quadratic Eigenvalue Complementarity Problem
(QEiCP) by using Difference of Convex (DC) programming approaches. We first show that …

On an enumerative algorithm for solving eigenvalue complementarity problems

LM Fernandes, JJ Júdice, HD Sherali… - Computational …, 2014 - Springer
In this paper, we discuss the solution of linear and quadratic eigenvalue complementarity
problems (EiCPs) using an enumerative algorithm of the type introduced by Júdice et …

A sequential partial linearization algorithm for the symmetric eigenvalue complementarity problem

M Fukushima, J Júdice, W de Oliveira… - Computational …, 2020 - Springer
In this paper, we introduce a Sequential Partial Linearization (SPL) algorithm for finding a
solution of the symmetric Eigenvalue Complementarity Problem (EiCP). The algorithm can …

Solving the quadratic eigenvalue complementarity problem by DC programming

YS Niu, J Júdice, HA Le Thi, TP Dinh - Modelling, Computation and …, 2015 - Springer
We present in this paper some results for solving the Quadratic Eigenvalue Complementarity
Problem (QEiCP) by using DC (Difference of Convex functions) programming approaches …

On the quadratic eigenvalue complementarity problem

CP Brás, AN Iusem, JJ Júdice - Journal of Global Optimization, 2016 - Springer
We introduce several new results on the Quadratic Eigenvalue Complementarity Problem
(QEiCP), focusing on the nonsymmetric case, ie, without making symmetry assumptions on …

On the splitting iteration method for Pareto eigenvalue complementarity problems of H+-matrices

L Zou, Y Lei - Linear and Multilinear Algebra, 2024 - Taylor & Francis
We present a class of inexact splitting-modulus iteration methods for solving the Pareto
Eigenvalue Complementarity Problem (EiCP) when the system matrix A is an H+-matrix. Our …