The properties of Craig's procedure for solving linear ill-posed problems
type: Item
instance of: scholarly article
title: The properties of Craig's procedure for solving linear ill-posed problems
zbMATH Open document ID: 0851.65034
author: A. A. Abramov
published in: Computational Mathematics and Mathematical Physics
publication date: 1996-03-24T00:00:00Z
review text: A conjugate gradient method was proposed by \textit{E. J. Craig} [J. Math. Physics 34, 64-73 (1955; Zbl 0065.10901)] for problems of linear algebra. In the present paper, the method is applied to solve ill-posed problems in Hilbert spaces. The author establishes the convergence of the method in the case of exact data, and some other properties of the algorithm.
Mathematics Subject Classification ID: 65J10
Mathematics Subject Classification ID: 65J20
Mathematics Subject Classification ID: 47A50
zbMATH DE Number: 859633
zbMATH Keywords: conjugate gradient method
zbMATH Keywords: ill-posed problems
zbMATH Keywords: Hilbert spaces
zbMATH Keywords: convergence
reviewed by: G. Vainikko
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 859633