Lavrentiev regularization is a popular approach to the solution of linear discrete ill-posed problems with a Hermitian positive semidefinite matrix. This paper describes Lavrentiev-type regularization methods that can be applied to the solution of linear discrete ill-posed problems with a general Hermitian matrix. Fractional Lavrentiev-type methods as well as modifications suggested by the solution of certain matrix nearness problems are described. Computed examples illustrate the competitiveness of modified fractional Lavrentiev-type methods. © 2014 Springer-Verlag Italia.
Lavrentiev-type regularization methods for Hermitian problems / Noschese, Silvia; Lothar, Reichel. - In: CALCOLO. - ISSN 0008-0624. - ELETTRONICO. - 52:(2014), pp. 187-205. [10.1007/s10092-014-0113-0]
Lavrentiev-type regularization methods for Hermitian problems
NOSCHESE, Silvia;
2014
Abstract
Lavrentiev regularization is a popular approach to the solution of linear discrete ill-posed problems with a Hermitian positive semidefinite matrix. This paper describes Lavrentiev-type regularization methods that can be applied to the solution of linear discrete ill-posed problems with a general Hermitian matrix. Fractional Lavrentiev-type methods as well as modifications suggested by the solution of certain matrix nearness problems are described. Computed examples illustrate the competitiveness of modified fractional Lavrentiev-type methods. © 2014 Springer-Verlag Italia.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
