Iterative preconditioned methods in Krylov spaces: trends of the 21st century

DOI10.1134/S0965542521110099zbMath1485.65032MaRDI QIDQ2059545

Publication date: 14 December 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

preconditioning decomposition algorithms approximate factorization iterative methods Krylov subspaces multigrid approaches symmetric and asymmetric matrices

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (1)

Multigrid incomplete factorization methods in Krylov subspaces

Cites Work

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The additive Peaceman-Rachford method
Problems of parallel solution of large systems of linear algebraic equations
Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections
Comparison of two-level preconditioners derived from deflation, domain decomposition and multigrid methods
Anderson acceleration of the Jacobi iterative method: an efficient alternative to Krylov methods for large, sparse linear systems
Rational Krylov sequence methods for eigenvalue computation
A network programming approach in solving Darcy's equations by mixed finite-element methods
Preconditioners for saddle point linear systems with highly singular \((1,1)\) blocks
A twisted block tangential filtering decomposition preconditioner
Error bounds for the Arnoldi method: a set of extreme eigenpairs
Some estimates of the rate of convergence for the cascadic conjugate-gradient method
Scaling by binormalization
Factorized sparse approximate inverse preconditionings. III: Iterative construction of preconditioners
On coarse grid correction methods in Krylov subspaces
Two-level least squares methods in Krylov subspaces
Convergence of certain incomplete block factorization splittings
Algebraic multigrid theory: The symmetric case
Preconditioning techniques for large linear systems: A survey
Further comparison of additive and multiplicative coarse grid correction
On multigrid methods for solving two-dimensional boundary-value problems
Iterative solution of saddle-point systems of linear equations
Incomplete iterative implicit schemes
Projection methods in Krylov subspaces
Iterative processes in the Krylov-Sonneveld subspaces
Operator preconditioning
Flexible Conjugate Gradients
On relaxed nested factorization and combination preconditioning
Some Geometric and Algebraic Aspects of Domain Decomposition Methods
Algebraic Two-Level Convergence Theory for Singular Systems
A Framework for Deflated and Augmented Krylov Subspace Methods
Generalized Golub--Kahan Bidiagonalization and Stopping Criteria
Finite Elements and Fast Iterative Solvers
Preconditioning discretizations of systems of partial differential equations
Iterative Methods for Linear Systems
Multifrontal Hierarchically Solver for 3D Discretized Elliptic Equations
Two classes of multisecant methods for nonlinear acceleration
Anderson Acceleration for Fixed-Point Iterations
MINRES-QLP: A Krylov Subspace Method for Indefinite or Singular Symmetric Systems
Algebraic Multigrid Domain and Range Decomposition (AMG-DD/AMG-RD)
Preconditioners for the discretized time-harmonic Maxwell equations in mixed form
Numerical solution of saddle point problems
An Introduction to Domain Decomposition Methods
Multilevel Block Factorization Preconditioners
Methods of semiconjugate directions
Hierarchische Matrizen
Parallel Solution of Triangular Systems on Distributed-Memory Multiprocessors
Two Conjugate-Gradient-Type Methods for Unsymmetric Linear Equations
Iterative Solution Methods
Preconditioning in H(𝑑𝑖𝑣) and applications
Generalized compensation principle in incomplete factorization methods
SPMR: A Family of Saddle-Point Minimum Residual Solvers
Convergence of Some Iterative Methods for Symmetric Saddle Point Linear Systems
Mstab: Stabilized Induced Dimension Reduction for Krylov Subspace Recycling
A New Preconditioner that Exploits Low-Rank Approximations to Factorization Error
A Comparison of Deflation and Coarse Grid Correction Applied to Porous Media Flow
Accuracy and Stability of Numerical Algorithms
Iterative Krylov Methods for Large Linear Systems
New convergence results and preconditioning strategies for the conjugate gradient method
Preconditioning Mixed Finite Element Saddle-point Elliptic Problems
Numerical algorithms for high-performance computational science
Preconditioning
Multi-preconditioned Domain Decomposition Methods in the Krylov Subspaces
A parallel block overlap preconditioning with inexact submatrix inversion for linear elasticity problems
Solving Graph Laplacian Systems Through Recursive Partitioning and Two-Grid Preconditioning
Algebraic Multigrid for Stokes Equations
An Efficient Multigrid Method for Graph Laplacian Systems II: Robust Aggregation
The family of nested factorizations
Support-Graph Preconditioners
A Multipreconditioned Conjugate Gradient Algorithm
A hybrid domain decomposition method based on aggregation

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