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Mashallah Matinfar

Mashallah Matinfar

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 35302496

Research

Title
GMRES implementations and residual smoothing techniques for solving ill-posed linear systems
Type
JournalPaper
Keywords
Least squareGMRESGivens rotationsHouseholder
Year
2013
Journal Computers & Mathematics with Applications
DOI
Researchers Mashallah Matinfar ، Hossein Zaremoghaddam ، Mostafa Eslami ، Mohammad Saeidy

Abstract

There are verities of useful Krylov subspace methods to solve nonsymmetric linear system of equations. GMRES is one of the best Krylov solvers with several different variants to solve large sparse linear systems. Any GMRES implementation has some advantages. As the solution of ill-posed problems are important. In this paper, some GMRES variants are discussed and applied to solve these kinds of problems. Residual smoothing techniques are efficient ways to accelerate the convergence speed of some iterative methods like CG variants. At the end of this paper, some residual smoothing techniques are applied for different GMRES methods to test the influence of these techniques on GMRES implementations.