Publicação

Structure-preserving schur methods for computing square roots of real skew-hamiltonian matrices

Ver documento

Detalhes bibliográficos
Resumo:The contribution in this paper is two-folded. First, a complete characterization is given of the square roots of a real nonsingular skew-Hamiltonian matrix W. Using the known fact that every real skew-Hamiltonian matrix has infinitely many real Hamiltonian square roots, such square roots are described. Second, a structure-exploiting method is proposed for computing square roots of W, skew-Hamiltonian and Hamiltonian square roots. Compared to the standard real Schur method, which ignores the structure, this method requires significantly less arithmetic.
Autores principais:Liu Zhongyun
Outros Autores:Zhang Yulin; Ferreira, Carla; Ralha, Rui
Assunto:Matrix square root Skew-Hamiltonian Schur decomposition Structure-preserving algorithm
Ano:2012
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho

Registos relacionados

Registos relacionados