Restrictively preconditioned Chebyshev method for solving systems of linear equations

DOI10.1007/s10665-014-9694-5zbMath1360.65104OpenAlexW2057329279MaRDI QIDQ525254

Zeng-Qi Wang

Publication date: 28 April 2017

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

Full work available at URL: https://doi.org/10.1007/s10665-014-9694-5

zbMATH Keywords

nonsymmetric linear systeminexact iterationChebyshev semi-iterative methodrestrictive preconditioning

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (2)

Restrictive Preconditioning for Convection-Diffusion Distributed Control Problems ⋮ PMHSS iteration method and preconditioners for Stokes control PDE-constrained optimization problems

Uses Software

• HSL_MI20

Cites Work

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• Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II
• Chebyshev semi-iteration in preconditioning for problems including the mass matrix
• The Tchebychev iteration for nonsymmetric linear systems
• Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
• Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems
• Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices
• On generalized successive overrelaxation methods for augmented linear systems
• Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems
• Optimal Solvers for PDE-Constrained Optimization
• Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems
• Quadratic Model Updating with Symmetry, Positive Definiteness, and No Spill-Over
• Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Restrictively preconditioned conjugate gradient methods for systems of linear equations
• Methods of conjugate gradients for solving linear systems
• The Chebyshev iteration revisited

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