Efficient iterative solvers for a complex valued two-by-two block linear system with application to parabolic optimal control problems

DOI10.1016/j.apnum.2019.11.011zbMath1433.65047OpenAlexW2990394047MaRDI QIDQ2301443

Zhao-Zheng Liang, Owe Axelsson, Guo-Feng Zhang

Publication date: 24 February 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.11.011

zbMATH Keywords

preconditioningiteration methodPDE-constrained optimizationChebyshev accelerationcomplex linear system

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (6)

Efficient iteration methods for complex systems with an indefinite matrix term ⋮ A Preconditioned MINRES Method for Optimal Control of Wave Equations and its Asymptotic Spectral Distribution Theory ⋮ Rotated block diagonal preconditioners for Navier-Stokes control problems ⋮ Reordering-based Schur complement preconditioners for a class of two-by-two block complex linear systems ⋮ Inner product free iterative solution and elimination methods for linear systems of a three-by-three block matrix form ⋮ Respectively scaled splitting iteration method for a class of block 4-by-4 linear systems from eddy current electromagnetic problems

Uses Software

• IFISS
• AGMG

Cites Work

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• Iterative Solution Methods
• IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems
• A Flexible Inner-Outer Preconditioned GMRES Algorithm

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