http://www.cnr.it/ontology/cnr/individuo/prodotto/ID7817
On the inverse problem of constructing symmetric pentadiagonal toeplitz matrices from three largest eigenvalues (Articolo in rivista)
- Type
- Label
- On the inverse problem of constructing symmetric pentadiagonal toeplitz matrices from three largest eigenvalues (Articolo in rivista) (literal)
- Anno
- 2005-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1088/0266-5611/21/6/005 (literal)
- Alternative label
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Chu M.T.; Diele F.; Ragni S. (literal)
- Pagina inizio
- Pagina fine
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
- http://iopscience.iop.org/0266-5611/21/6/005 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
- Rivista
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
- Note
- Scopu (literal)
- ISI Web of Science (WOS) (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
- CHU Moody T., North Carolina State University, USA
DIELE Fasma, Istituto per le Applicazioni del Calcolo \"Mauro Picone\"
RAGNI Stefania, Università degli Studi di Bari (literal)
- Titolo
- On the inverse problem of constructing symmetric pentadiagonal toeplitz matrices from three largest eigenvalues (literal)
- Abstract
- The inverse problem of constructing a symmetric Toeplitz matrix with
prescribed eigenvalues has been a challenge both theoretically and
computationally in the literature. It is now known in theory that symmetric
Toeplitz matrices can have arbitrary real spectra. This paper addresses a
similar problem--can the three largest eigenvalues of symmetric pentadiagonal
Toeplitz matrices be arbitrary? Given three real numbers ? ? ? ? ?, this paper
finds that the ratio ? = ?-?
?-? , including infinity if ? = ?, determines whether
there is a symmetric pentadiagonal Toeplitz matrix with ?, ? and ? as its three
largest eigenvalues. It is shown that such a matrix of size n × n does not exist
if n is even and ? is too large or if n is odd and ? is too close to 1. When such
a matrix does exist, a numerical method is proposed for the construction. (literal)
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- Autore CNR
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