On the optimal convergence factor of the accelerated parameterized inexact Uzawa method with three parameters for augmented systems

2018 ◽  
Vol 25 (5) ◽  
pp. e2189 ◽  
Author(s):  
Zheng-Da Huang ◽  
Hui-Di Wang
Keyword(s):  
Uzawa Method ◽  
Convergence Factor ◽  
Optimal Convergence ◽  
Augmented Systems ◽  
Parameterized Inexact Uzawa Method

On a New SSOR-Like Method with Four Parameters for the Augmented Systems

2017 ◽  
Vol 7 (1) ◽  
pp. 82-100 ◽  
Author(s):  
Hui-Di Wang ◽  
Zheng-Da Huang
Keyword(s):  
Convergence Factor ◽  
Successive Overrelaxation ◽  
Optimal Convergence ◽  
Augmented System ◽  
Augmented Systems ◽  
Numer Math

AbstractIn this paper, we propose a new SSOR-like method with four parameters to solve the augmented system. And we analyze the convergence of the method and get the optimal convergence factor under suitable conditions. It is proved that the optimal convergence factor is the same as the GMPSD method [M.A. Louka and N.M. Missirlis, A comparison of the extrapolated successive overrelaxation and the preconditioned simultaneous displacement methods for augmented systems, Numer. Math. 131(2015) 517-540] with five parameters under the same assumption.

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