A Kind of Preconditioned IGMRES(m) Algorithm

2012 ◽  
Vol 482-484 ◽  
pp. 413-416
Author(s):  
Chun Xiao Yu
Keyword(s):  
Krylov Subspace ◽  
Matrix Decomposition ◽  
Coefficient Matrix ◽  
Algebraic Equations ◽  
Residual Method ◽  
Minimal Residual Method ◽  
Algorithm Convergence ◽  
Minimal Residual

Fundamental theories are studied for an Incomplete Generalized Minimal Residual Method(IGMRES(m)) in Krylov subspace. An algebraic equations generated from the IGMRES(m) algorithm is presented. The relationships are deeply researched for the algorithm convergence and the coefficient matrix of the equations. A kind of preconditioned method is proposed to improve the convergence of the IGMRES(m) algorithm. It is proved that the best convergence can be obtained through appropriate matrix decomposition.

Regularized minimal residual method for permittivity reconstruction in microwave imaging

2020 ◽  
Vol 62 (12) ◽  
pp. 3682-3694
Author(s):  
Amit Magdum ◽  
Mallikarjun Erramshetty ◽  
Ravi Prasad K. Jagannath
Keyword(s):  
Microwave Imaging ◽  
Residual Method ◽  
Minimal Residual Method ◽  
Minimal Residual
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