Warning: pg_query(): Query failed: ERROR: missing chunk number 0 for toast value 29512337 in pg_toast_2619 in /dati/webiit-old/includes/database.pgsql.inc on line 138 Warning: ERROR: missing chunk number 0 for toast value 29512337 in pg_toast_2619 query: SELECT data, created, headers, expire, serialized FROM cache_page WHERE cid = 'https://www-old.iit.cnr.it/node/636' in /dati/webiit-old/includes/database.pgsql.inc on line 159 Warning: pg_query(): Query failed: ERROR: missing chunk number 0 for toast value 29512337 in pg_toast_2619 in /dati/webiit-old/includes/database.pgsql.inc on line 138 Warning: ERROR: missing chunk number 0 for toast value 29512337 in pg_toast_2619 query: SELECT data, created, headers, expire, serialized FROM cache_page WHERE cid = 'https://www-old.iit.cnr.it/node/636' in /dati/webiit-old/includes/database.pgsql.inc on line 159 A Framework for Studying the Regularizing Properties of Krylov Subspace Methods | IIT - CNR - Istituto di Informatica e Telematica
IIT Home Page CNR Home Page

A Framework for Studying the Regularizing Properties of Krylov Subspace Methods

Krylov subspace iterative methods have recently received considerable attention as regularizing techniques for solving linear systems with a coefficient matrix of ill-determined rank and a right-hand side vector perturbed by noise. For many of them little is known from this point of view. In this paper the regularizing properties of some methods of Krylov type (CGLS, GMRES, QMR, CGS, BiCG, Bi-CGSTAB) are examined. CGLS, for which a theoretical analysis is available, is taken as reference method. Tools for measuring the regularization efficiency and the consistency with the discrepancy principle are introduced. An extensive experimentation validates the proposed measures for the studied methods.


INVERSE PROBLEMS (06570J0), 2006

Autori: P. Brianzi, P. Favati, O. Menchi, F. Romani
Autori IIT:

Tipo: Articoli su riviste ISI
Area di disciplina: Mathematics
Da pagina 1007 a pagina 1021

Attività: Metodi numerici per problemi di grandi dimensioni