A Preconditioned MINRES Method for Optimal Control of Wave Equations and its Asymptotic Spectral Distribution Theory
DOI10.1137/23m1547251zbMath1526.65009arXiv2307.12850MaRDI QIDQ6053422
Sean Y. Hon, Stefano Serra Capizzano, Unnamed Author
Publication date: 18 October 2023
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2307.12850
optimal controleigenvalue distributionwave equationsMINRESparallel-in-timecirculant/tau preconditioners
Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Preconditioners for iterative methods (65F08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
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- On unitarily invariant norms of matrix-valued linear positive operators.
- Spectral and computational properties of band symmetric Toeplitz matrices
- Computable eigenvalue bounds for rank-\(k\) perturbations
- Numerical optimal control of the wave equation: Optimal boundary control of a string to rest in finite time
- Spectral and computational analysis of block Toeplitz matrices having nonnegative definite matrix-valued generating functions
- A unifying approach to abstract matrix algebra preconditioning
- Bounds for the entries of matrix functions with applications to preconditioning
- Spectral properties of flipped Toeplitz matrices and related preconditioning
- Constructive approach to the monotone rearrangement of functions
- Parameter-robust preconditioning for the optimal control of the wave equation
- Efficient iterative solvers for a complex valued two-by-two block linear system with application to parabolic optimal control problems
- Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case
- Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls
- On Time Optimal Control of the Wave Equation and Its Numerical Realization as Parametric Optimization Problem
- Generalized Locally Toeplitz Sequences: Theory and Applications
- Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints
- Approximate Inverse Circulant-plus-Diagonal Preconditioners for Toeplitz-plus-Diagonal Matrices
- Recent computational developments in Krylov subspace methods for linear systems
- A Fast and Stable Preconditioned Iterative Method for Optimal Control Problem of Wave Equations
- A Proposal for Toeplitz Matrix Calculations
- An Optimal Circulant Preconditioner for Toeplitz Systems
- A Dirichlet Boundary Control Problem for the Strongly Damped Wave Equation
- Asymptotic Results on the Spectra of Block Toeplitz Preconditioned Matrices
- Toeplitz Preconditioners Constructed from Linear Approximation Processes
- Conjugate Gradient Methods for Toeplitz Systems
- Preconditioning Strategies for Hermitian Toeplitz Systems with Nondefinite Generating Functions
- Any Nonincreasing Convergence Curve is Possible for GMRES
- A note on the spectral distribution of toeplitz matrices
- Multigrid methods for block‐Toeplitz linear systems: convergence analysis and applications
- Generalized Locally Toeplitz Sequences: Theory and Applications
- A Parallel-In-Time Block-Circulant Preconditioner for Optimal Control of Wave Equations
- The Eigenvalue Distribution of Special 2-by-2 Block Matrix-Sequences with Applications to the Case of Symmetrized Toeplitz Structures
- A Preconditioned MINRES Method for Nonsymmetric Toeplitz Matrices
- Preconditioning
- Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
- How Large a Shift is Needed in the Shifted Helmholtz Preconditioner for its Effective Inversion by Multigrid?
- A block Toeplitz preconditioner for all-at-once systems from linear wave equations
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