UNICA IRIS Institutional Research Information System
IRIS è il sistema di gestione integrata dei dati della ricerca (persone, progetti, pubblicazioni, attività) adottato dall'Università degli Studi di Cagliari dal mese di luglio 2015.
EnglishThe following results on the block Cholesky factorization of bi-infinite and semi-infinite matrices are obtained. A method is proposed for computing the $LDM^T$- and block Cholesky factors of a bi-infinite banded block Toeplitz matrix. An equivalence relation is introduced to describe when two semi-infinite matrices with entries $A_{ij}$ coincide exponentially as $i,j,i+j\to\infty$. If two equivalent bi-infinite matrices have block Cholesky factorizations, then their block Cholesky factors and their inverses are equivalent. If a bi-infinite block matrix $A$ has a block Cholesky factorization whose lower triangular factor $L$ and its lower triangular inverse decay exponentially away from the diagonal, then the semi-infinite truncation of $A$ has a lower triangular block Cholesky factor whose elements approach those of $L$ exponentially. These results are then applied to studying the asymptotic behavior of vectors of functions obtained by orthonormalizing a large finite set of integer translates of an exponentially decaying vector of functions.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | Block Cholesky factorization of infinite matrices and orthonormalization of vectors of functions | |
| Autori: | ||
| Data di pubblicazione: | 1998 | |
| Serie: | ||
| Handle: | http://hdl.handle.net/11584/7849 | |
| ISBN: | 0-8247-1946-8 | |
| Tipologia: | 2.1 Contributo in volume (Capitolo o Saggio) |
File in questo prodotto:
Copyright © 2021