Convergence analysis of the splitting-based iterative method for solving generalized saddle point problems

DOI10.1007/s00009-021-01906-2OpenAlexW3214523256MaRDI QIDQ2243953

Li-Fang Dai, Qun Li, Mao-Lin Liang

Publication date: 11 November 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01906-2

zbMATH Keywords

generalized saddle point problemsinexact Uzawa methodparameterized Uzawa methodthe GPIU method

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10)

Cites Work

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• A preconditioned GLHSS iteration method for non-Hermitian singular saddle point problems
• A generalization of parameterized inexact Uzawa method for generalized saddle point problems
• On parameterized inexact Uzawa methods for generalized saddle point problems
• On semi-convergence of parameterized Uzawa methods for singular saddle point problems
• On preconditioned Uzawa methods and SOR methods for saddle-point problems
• Fast Uzawa algorithm for generalized saddle point problems
• A note on GPIU method for generalized saddle point problems
• A new generalized parameterized inexact Uzawa method for solving saddle point problems
• Preconditioners for saddle point problems arising in computational fluid dynamics
• Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
• Motivations and realizations of Krylov subspace methods for large sparse linear systems
• On generalized parameterized inexact Uzawa method for a block two-by-two linear system
• Semi-convergence analysis of Uzawa methods for singular saddle point problems
• A generalization of the inexact parameterized Uzawa methods for saddle point problems
• On generalized successive overrelaxation methods for augmented linear systems
• A splitting preconditioner for saddle point problems
• Structured preconditioners for nonsingular matrices of block two-by-two structures
• Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems
• Numerical solution of saddle point problems
• Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
• Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
• Restrictively preconditioned conjugate gradient methods for systems of linear equations
• A Preconditioner for Generalized Saddle Point Problems

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