A method of successive approximations for selecting the regularization parameter in the numerical solution of Ill-posed problems

✍ Scribed by A.R. Poluektov

• Publisher: Elsevier Science
• Year: 1989
• Weight: 160 KB
• Volume: 29
• Category: Article
• ISSN: 0041-5553
• DOI: 10.1016/s0041-5553(89)80013-8

✦ Synopsis

An algorithm is proposed for the numerical solution of ill-posed problems which an be reduced to systems of linear algebraic equations with inaccurately specified operator and vector.

The algorithm is based on the method of successive approximations.

It is proved that the algorithm converges to the required solution.