November 24, 2024
Saeed Karimi

Saeed Karimi

Academic Rank: Associate professor
Address:
Degree: Ph.D in Applied Mathematics
Phone: 07733447965
Faculty: Faculty of Intelligent Systems and Data Science

Research

Title An iterative method to compute minimum norm solutions of ill-posed problems in Hilbert spaces
Type Article
Keywords
Journal AFRIKA MATEMATIKA
DOI
Researchers Saeed Karimi (Second researcher) ,

Abstract

We study an algorithm to compute minimum norm solution of ill-posed problems in Hilbert space and investigate its regularizing properties with discrepancy principle stopping rule. This algorithm results from straightly applying the LSQR method to the main problem before discretizing. In fact, the proposed algorithm obtains a sequence of approximate solutions of the original problem.