Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/47617
Título: | The inverse eigenvector problem for real tridiagonal matrices |
Autor(es): | Parlett, Beresford Dopico, Froilán M. Ferreira, Carla |
Palavras-chave: | Backward errors Tridiagonal matrices Eigenvector |
Data: | 27-Abr-2016 |
Editora: | Society for Industrial and Applied Mathematics |
Revista: | SIAM Journal on Matrix Analysis and Applications |
Resumo(s): | A little known property of a pair of eigenvectors (column and row) of a real tridiagonal matrix is presented. With its help we can define necessary and sufficient conditions for the unique real tridiagonal matrix for which an approximate pair of complex eigenvectors is exact. Similarly, we can designate the unique real tridiagonal matrix for which two approximate real eigenvectors, with different real eigenvalues, are also exact. We close with an illustration that these unique “backward error” matrices are sensitive to small rounding errors in certain partial sums which play a key role in determining the matrices. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/47617 |
DOI: | 10.1137/15M1025293 |
ISSN: | 0895-4798 |
Versão da editora: | http://epubs.siam.org/doi/abs/10.1137/15M1025293 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
inverse_eigvector_tridiagonals_ParlettDopicoFerreira.pdf | 420,37 kB | Adobe PDF | Ver/Abrir |