Generalized AOR method for the augmented system

DOI10.1080/00207160410001661663zbMath1076.65032OpenAlexW2031028466MaRDI QIDQ4831435

Zheng Li, Chang-jun Li, Yi-Yong Nie, David J. Evans

Publication date: 29 December 2004

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160410001661663

zbMATH Keywords

numerical examplesiterative methodsuccessive overrelaxationaugmented systemAOR methodsaddle point problemGAOR methodSOR-like methodaccelerated overrelaxationoptimum parametergeneralized accelerated overrelaxation method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (16)

Some generalizations of the new SOR-like method for solving symmetric saddle-point problems ⋮ Modified accelerated parameterized inexact Uzawa method for singular and nonsingular saddle point problems ⋮ On the generalized AOR and CG iteration methods for a class of block two-by-two linear systems ⋮ On semi-convergence of a class of relaxation methods for singular saddle point problems ⋮ A modified SOR-like method for the augmented systems ⋮ On convergence and semi-convergence of SSOR-like methods for augmented linear systems ⋮ Convergence of relaxation iterative methods for saddle point problem ⋮ On generalized stationary iterative method for solving the saddle point problems ⋮ On a New SSOR-Like Method with Four Parameters for the Augmented Systems ⋮ Generalized AOR method for solving a class of generalized saddle point problems ⋮ On the GTSOR-like Method for the Augmented systems ⋮ Mappings onto multiplicative subsets of function algebras and spectral properties of their products ⋮ On the minimum convergence factor of a class of GSOR-like methods for augmented systems ⋮ Generalized skew-Hermitian triangular splitting iteration methods for saddle-point linear systems ⋮ A variant of the AOR method for augmented systems ⋮ A modified ASOR-like method for augmented linear systems

Cites Work

• A generalized successive overrelaxation method for least squares problems
• Minimum residual methods for augmented systems
• Stability of Augmented System Factorizations in Interior-Point Methods
• Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
• A new iterative method for large sparse saddle point problems
• SOR-like methods for augmented systems

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