Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/16504
Título: | Spectrally arbitrary factorization: the nonderogatory case |
Autor(es): | Johnson, Charles R. Zhang Yulin |
Palavras-chave: | Jordan form Special LU factorization Nonderogatory Exceptional Minor Total multiplicity |
Data: | 2006 |
Editora: | Universidade de Coimbra |
Resumo(s): | It is known that a nonsingular, nonscalar, n-by-n complex matrix A may be factored as A = BC, in which the spectra of B and C are arbitrary, subject to detBdetC = detA. We show further that B and C may be taken to be nonderogatory, even when the target spectra include repeated eigenvalues. This is a major step in a broader question of how arbitrary the Jordan forms of B and C may be, given their target spectra. In the process, a number of tools are developed, such as a special LU factorization under similarity, that may be of independent interest. |
Tipo: | Capítulo de livro |
URI: | https://hdl.handle.net/1822/16504 |
ISBN: | 972-8564-43-0 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
LUforsa.pdf | 190,95 kB | Adobe PDF | Ver/Abrir |