%0 Journal Article
%T Numerical resolution of cone-constrained eigenvalue problems
%A A. Pinto da Costa
%A Alberto Seeger
%J Computational and Applied Mathematics
%D 2009
%I 
%X Given a convex cone K and matrices A and B, one wishes to find a scalar ¦Ë and a nonzero vector x satisfying the complementarity system K   x ¡Í(Ax-¦Ë Bx) ¡Ê K+. This problem arises in mechanics and in other areas of applied mathematics. Two numerical techniques for solving such kind of cone-constrained eigenvalue problem are discussed, namely, the Power Iteration Method and the Scaling and Projection Algorithm.
%K complementarity condition
%K generalized eigenvalue problem
%K power iteration method
%K scaling
%K projection algorithm
%U http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022009000100003