Adaptive preconditioners for nonlinear systems of equations
From MaRDI portal
Publication:818192
DOI10.1016/j.cam.2005.04.060zbMath1088.65048OpenAlexW2001911203MaRDI QIDQ818192
Daniel Loghin, Daniel Ruiz, Ahmed Touhami
Publication date: 24 March 2006
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2005.04.060
AlgorithmNewton's methodNumerical experimentsIterative methodsPreconditioningKrylov methodAugmented systemsDomain decomposition techiques
Numerical computation of solutions to systems of equations (65H10) Numerical computation of matrix norms, conditioning, scaling (65F35)
Related Items
Preconditioning Newton-Krylov methods in nonconvex large scale optimization ⋮ Updating Constraint Preconditioners for KKT Systems in Quadratic Programming Via Low-Rank Corrections ⋮ Preconditioner updates applied to CFD model problems ⋮ The role eigenvalues play in forming GMRES residual norms with non-normal matrices ⋮ Improving Triangular Preconditioner Updates for Nonsymmetric Linear Systems ⋮ Arnoldi decomposition, GMRES, and preconditioning for linear discrete ill-posed problems ⋮ Block preconditioners for linear systems in interior point methods for convex constrained optimization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inertia characteristics of self-adjoint matrix polynomials
- A new look at the Lanczos algorithm for solving symmetric systems of linear equations
- Preconditioning techniques for Newton's method for the incompressible Navier-Stokes equations
- Projection techniques for iterative solution of \(A\underline x=\underline b\) with successive right-hand sides
- Inexact Newton Methods
- Adaptively Preconditioned GMRES Algorithms
- Truncation Strategies for Optimal Krylov Subspace Methods
- A Deflation Technique for Linear Systems of Equations
- A Class of Spectral Two-Level Preconditioners
- Implicitly Restarted GMRES and Arnoldi Methods for Nonsymmetric Systems of Equations
- On the Lanczos Method for Solving Symmetric Linear Systems with Several Right-Hand Sides
- GMRES with Deflated Restarting
- A Restarted GMRES Method Augmented with Eigenvectors
- Using spectral low rank preconditioners for large electromagnetic calculations