An economic implementation of the optimal rotated block-diagonal preconditioning method

DOI10.1007/s11075-022-01404-wOpenAlexW4296182401MaRDI QIDQ2700011

Kang-Ya Lu, Zhong Zhi Bai

Publication date: 20 April 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-022-01404-w

zbMATH Keywords

preconditioningBiCG iterationblock two-by-two linear systemflexible GMRES methodtime-dependent fractional optimal control problem

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional differentiation for edge detection
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems
• Chaos, fractional kinetics, and anomalous transport
• Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations
• Motivations and realizations of Krylov subspace methods for large sparse linear systems
• A fast gradient projection method for a constrained fractional optimal control
• A FEM for an Optimal Control Problem of Fractional Powers of Elliptic Operators
• Iterative Krylov Methods for Large Linear Systems
• Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems
• Matrix Analysis and Computations
• Theory and Numerical Approximations of Fractional Integrals and Derivatives
• An Introduction to Iterative Toeplitz Solvers

This page was built for publication: An economic implementation of the optimal rotated block-diagonal preconditioning method