Efficient solution of dense linear system of equations arising in the investigation of electromagnetic scattering by truncated periodic structures

2002 ◽  
Author(s):  
J.R. Poirier ◽  
P. Borderies ◽  
E. Gimonet ◽  
R. Mittra ◽  
V. Varadarajan
Keyword(s):  
Linear System ◽  
Electromagnetic Scattering ◽  
Efficient Solution ◽  
Periodic Structures ◽  
System Of Equations ◽  
Linear System Of Equations ◽  
Dense Linear System

scholarly journals New iterative methods for dense linear systems

2021 ◽  
Vol 293 ◽  
pp. 02013
Author(s):  
Jinmei Wang ◽  
Lizi Yin ◽  
Ke Wang
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Iterative Methods ◽  
Parallel Implementation ◽  
System Of Equations ◽  
Systems Of Equations ◽  
Linear System Of Equations ◽  
Dense Linear System ◽  
Linear Systems Of Equations

Solving dense linear systems of equations is quite time consuming and requires an efficient parallel implementation on powerful supercomputers. Du, Zheng and Wang presented some new iterative methods for linear systems [Journal of Applied Analysis and Computation, 2011, 1(3): 351-360]. This paper shows that their methods are suitable for solving dense linear system of equations, compared with the classical Jacobi and Gauss-Seidel iterative methods.

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