Lavrentiev-type Regularization Methods for Hermitian Problems

نویسندگان

  • SILVIA NOSCHESE
  • LOTHAR REICHEL
چکیده

Lavrentiev regularization is a popular approach to the solution of linear discrete illposed 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.

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تاریخ انتشار 2014