On the conditions of convergence for one class of methods used for the solution of ill-posed problems

• Date: 2008
• Main Authors: Lebedeva, E. V., Лебедева, Є. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3201
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We propose a new class of projection methods for the solution of ill-posed problems with inaccurately specified coefficients. For methods from this class, we establish the conditions of convergence to the normal solution of an operator equation of the first kind. We also present additional condition...