The algebraic eigenvalue problem
The algebraic eigenvalue problem
The convergence factor of preconditioned algorithms of the Arrow-Hurwicz type
SIAM Journal on Numerical Analysis
A domain decomposition technique for Stokes problems
Applied Numerical Mathematics - Domain Decomposition
A preconditioned iterative method for saddlepoint problems
SIAM Journal on Matrix Analysis and Applications
Inexact and preconditioned Uzawa algorithms for saddle point problems
SIAM Journal on Numerical Analysis - Special issue: the articles in this issue are dedicated to Seymour V. Parter
Fast iterative solution of stabilised Stokes systems part II: using general block preconditioners
SIAM Journal on Numerical Analysis
Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations
SIAM Journal on Scientific Computing - Special issue on iterative methods in numerical linear algebra; selected papers from the Colorado conference
Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
SIAM Journal on Numerical Analysis
An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term
SIAM Journal on Scientific Computing
Preconditioning for the Steady-State Navier--Stokes Equations with Low Viscosity
SIAM Journal on Scientific Computing
Uzawa type algorithms for nonsymmetric saddle point problems
Mathematics of Computation
On the Nonlinear Inexact Uzawa Algorithm for Saddle-Point Problems
SIAM Journal on Numerical Analysis
A sufficient condition for the convergence of the inexact Uzawa algorithm for saddle point problems
Journal of Computational and Applied Mathematics
Fast uzawa algorithm for generalized saddle point problems
Applied Numerical Mathematics
Application of modified homotopy perturbation method for solving the augmented systems
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Variational piecewise constant level set methods for shape optimization of a two-density drum
Journal of Computational Physics
Applied Numerical Mathematics
A preconditioned GLHSS iteration method for non-Hermitian singular saddle point problems
Computers & Mathematics with Applications
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In this paper, we consider the convergence criteria for iterative algorithms of Uzawa type for solving linear saddle point problems. Theoretically weaker convergence criteria than before are established for the general case and these are used to deduce conditions for convergence of two special cases: the exact Uzawa algorithm and the linear one-step method. The conclusions given here hold for both symmetric and nonsymmetric saddle point problems. These new sufficient conditions are compared with some known results and illustrated by two examples. Numerical experiments to verify the conclusions in this paper for the preconditioned exact Uzawa algorithm are provided.