Variable parameter Uzawa method for solving a class of block three-by-three saddle point problems
From MaRDI portal
Publication:827073
DOI10.1007/s11075-019-00863-yzbMath1455.65049OpenAlexW3002636558WikidataQ126314854 ScholiaQ126314854MaRDI QIDQ827073
Publication date: 6 January 2021
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-019-00863-y
Computational methods for sparse matrices (65F50) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Iterative numerical methods for linear systems (65F10)
Related Items (12)
Structured backward error analysis for a class of block three-by-three saddle point problems ⋮ Three effective preconditioners for double saddle point problem ⋮ On GSOR, the Generalized Successive Overrelaxation Method for Double Saddle-Point Problems ⋮ A simplified relaxed alternating positive semi-definite splitting preconditioner for saddle point problems with three-by-three block structure ⋮ A block triangular preconditioner for a class of three-by-three block saddle point problems ⋮ Two block preconditioners for a class of double saddle point linear systems ⋮ A modified preconditioner for three-by-three block saddle point problems ⋮ A new block triangular preconditioner for three-by-three block saddle-point problem. ⋮ An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems with Semidefinite (2,2) Block and its Application to DLM/FD Method for Elliptic Interface Problems ⋮ On parameterized block symmetric positive definite preconditioners for a class of block three-by-three saddle point problems ⋮ A new block-diagonal preconditioner for a class of \(3\times 3\) block saddle point problems ⋮ Unnamed Item
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal relaxation parameter for the Uzawa method
- On block-diagonally preconditioned accelerated parameterized inexact Uzawa method for singular saddle point problems
- On parameterized inexact Uzawa methods for generalized saddle point problems
- On preconditioned Uzawa methods and SOR methods for saddle-point problems
- Variants of the Uzawa method for three-order block saddle point problem
- A class of iterative methods for solving saddle point problems
- Inertia-controlling factorizations for optimization algorithms
- Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems
- Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
- On generalized parameterized inexact Uzawa method for a block two-by-two linear system
- The Uzawa-HSS method for saddle-point problems
- A generalization of parameterized inexact Uzawa method for singular saddle point problems
- A generalization of the inexact parameterized Uzawa methods for saddle point problems
- A comparison of reduced and unreduced KKT systems arising from interior point methods
- A generalized inexact Uzawa method for stable principal component pursuit problem with nonnegative constraints
- Solving Complex-Valued Linear Systems via Equivalent Real Formulations
- On the Solution of Equality Constrained Quadratic Programming Problems Arising in Optimization
- Analysis of iterative methods for saddle point problems: a unified approach
- An Iterative Method with Variable Relaxation Parameters for Saddle-Point Problems
- Unified analysis of preconditioning methods for saddle point matrices
- Spectral estimates for unreduced symmetric KKT systems arising from Interior Point methods
- The Numerical Solution of Equality-Constrained Quadratic Programming Problems
- Algorithm 866
- Mixed and Hybrid Finite Element Methods
- Solution of Sparse Indefinite Systems of Linear Equations
- Optical tomography in medical imaging
- Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
- Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
- An Efficient Iterative Method for the Generalized Stokes Problem
- An Iteration for Indefinite Systems and Its Application to the Navier--Stokes Equations
- Discrete Fredholm properties and convergence estimates for the electric field integral equation
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients
- Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems
- The Factorization of Sparse Symmetric Indefinite Matrices
- A null space algorithm for mixed finite-element approximations of Darcy's equation
- Iterative Krylov Methods for Large Linear Systems
- Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations
- Bounds on Eigenvalues of Matrices Arising from Interior-Point Methods
- Bunch–Kaufman Factorization for Real Symmetric Indefinite Banded Matrices
- Local Linear Convergence of the Alternating Direction Method of Multipliers for Quadratic Programs
- CUTEr and SifDec
- Nonlinear Inexact Uzawa Algorithms for Linear and Nonlinear Saddle-point Problems
- Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations
- On the reduction of a symmetric matrix to tridiagonal form
- Methods of conjugate gradients for solving linear systems
- SOR-like methods for augmented systems
This page was built for publication: Variable parameter Uzawa method for solving a class of block three-by-three saddle point problems
