A low-rank algorithm for solving Lyapunov operator $φ$-functions within the matrix-valued exponential integrators
Fuente:
arXiv
Saved in:
| Main Authors: | Li, Dongping, Zhang, Xiuying, Tian, Hongjiong |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Efficient algorithm for the oscillatory matrix functions
by: Li, Dongping, et al.
Published: (2024)
by: Li, Dongping, et al.
Published: (2024)
Projected exponential methods for stiff dynamical low-rank approximation problems
by: Carrel, Benjamin, et al.
Published: (2023)
by: Carrel, Benjamin, et al.
Published: (2023)
A scaling and recovering algorithm for the matrix $φ$-functions
by: Al-Mohy, Awad H., et al.
Published: (2025)
by: Al-Mohy, Awad H., et al.
Published: (2025)
Mixed-precision algorithms for solving the Sylvester matrix equation
by: Dmytryshyn, Andrii, et al.
Published: (2025)
by: Dmytryshyn, Andrii, et al.
Published: (2025)
Extended block Hessenberg process for the evaluation of matrix functions
by: Bentbib, A. H., et al.
Published: (2024)
by: Bentbib, A. H., et al.
Published: (2024)
Mixed-precision iterative refinement for low-rank Lyapunov equations
by: Benner, Peter, et al.
Published: (2025)
by: Benner, Peter, et al.
Published: (2025)
On solving nonlinear simultaneous equations arising from the double-exponential Sinc-collocation method for initial value problems
by: Yamamoto, Yusaku, et al.
Published: (2026)
by: Yamamoto, Yusaku, et al.
Published: (2026)
H2-MG: A multigrid method for hierarchical rank structured matrices
by: Sushnikova, Daria, et al.
Published: (2025)
by: Sushnikova, Daria, et al.
Published: (2025)
Low-rank-modified Galerkin methods for the Lyapunov equation
by: Lund, Kathryn, et al.
Published: (2023)
by: Lund, Kathryn, et al.
Published: (2023)
A Non-Recursive, Dimension-Independent Schur-Decomposition Algorithm for $N$-Dimensional Sylvester Tensor Equations
by: Cuesta, Carlota M., et al.
Published: (2024)
by: Cuesta, Carlota M., et al.
Published: (2024)
Double precision is not necessary for LSQR for solving discrete linear ill-posed problems
by: Li, Haibo
Published: (2022)
by: Li, Haibo
Published: (2022)
PSCToolkit: solving sparse linear systems with a large number of GPUs
by: D'Ambra, Pasqua, et al.
Published: (2024)
by: D'Ambra, Pasqua, et al.
Published: (2024)
Balancing Inexactness in Mixed Precision Matrix Computations
by: Carson, Erin Claire
Published: (2026)
by: Carson, Erin Claire
Published: (2026)
A hybrid Chebyshev-Tucker tensor format for approximation of multivariate functions
by: Benner, Peter, et al.
Published: (2025)
by: Benner, Peter, et al.
Published: (2025)
Mixed precision thin SVD algorithms based on the Gram matrix
by: Carson, Erin, et al.
Published: (2026)
by: Carson, Erin, et al.
Published: (2026)
Explicit Inversion for Two Brownian-Type Matrices
by: Valvi, F. N., et al.
Published: (2002)
by: Valvi, F. N., et al.
Published: (2002)
A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics
by: Burkhart, Andreas, et al.
Published: (2025)
by: Burkhart, Andreas, et al.
Published: (2025)
A parallel preconditioner for the all-at-once linear system from evolutionary PDEs with Crank-Nicolson discretization
by: Zhao, Yong-Liang, et al.
Published: (2024)
by: Zhao, Yong-Liang, et al.
Published: (2024)
A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation
by: Zhao, Yong-Liang, et al.
Published: (2019)
by: Zhao, Yong-Liang, et al.
Published: (2019)
Krylov Subspace Recycling For Matrix Functions
by: Burke, Liam, et al.
Published: (2022)
by: Burke, Liam, et al.
Published: (2022)
Fast solution of a phase-field model of pitting corrosion
by: Frasca-Caccia, Gianluca, et al.
Published: (2025)
by: Frasca-Caccia, Gianluca, et al.
Published: (2025)
Low-rank tensor product Richardson iteration for radiative transfer in plane-parallel geometry
by: Bachmayr, Markus, et al.
Published: (2024)
by: Bachmayr, Markus, et al.
Published: (2024)
An Introduction to Solving the Least-Squares Problem in Variational Data Assimilation
by: Daužickaitė, I., et al.
Published: (2025)
by: Daužickaitė, I., et al.
Published: (2025)
Shifted Matrix-Sign Reflectors for Prescribed-Index Eigenspace Reflection
by: Zhao, Jin
Published: (2026)
by: Zhao, Jin
Published: (2026)
Mixed precision iterative refinement for least squares with linear equality constraints and generalized least squares problems
by: Gao, Bowen, et al.
Published: (2024)
by: Gao, Bowen, et al.
Published: (2024)
Randomized methods for dynamical low-rank approximation
by: Carrel, Benjamin
Published: (2024)
by: Carrel, Benjamin
Published: (2024)
Adaptive low-rank exponential integrators for large-scale differential Riccati equation
by: Li, Jinyi, et al.
Published: (2026)
by: Li, Jinyi, et al.
Published: (2026)
Computing electrostatic potentials using regularization based on the range-separated tensor format
by: Benner, Peter, et al.
Published: (2019)
by: Benner, Peter, et al.
Published: (2019)
Fast tensor-based electrostatic energy calculations in the perspective of protein-ligand docking problem
by: Benner, Peter, et al.
Published: (2025)
by: Benner, Peter, et al.
Published: (2025)
The double splitting iteration method for solving the large indefinite least squares problem
by: Li, Jun, et al.
Published: (2026)
by: Li, Jun, et al.
Published: (2026)
Riemannian multigrid line search for low-rank problems
by: Sutti, Marco, et al.
Published: (2020)
by: Sutti, Marco, et al.
Published: (2020)
$hp$-version $C^1$-continuous Petrov-Galerkin method for nonlinear second-order initial value problems with application to wave equations
by: Wang, Lina, et al.
Published: (2023)
by: Wang, Lina, et al.
Published: (2023)
Coarse spaces for non-symmetric two-level preconditioners based on local extended generalized eigenproblems
by: Nataf, Frédéric, et al.
Published: (2024)
by: Nataf, Frédéric, et al.
Published: (2024)
Fast Algorithms for Optimal Damping in Mechanical Systems
by: Li, Qingna, et al.
Published: (2026)
by: Li, Qingna, et al.
Published: (2026)
Using MultiPrecisonArrays.jl: Iterative Refinement in Julia
by: Kelley, C. T.
Published: (2023)
by: Kelley, C. T.
Published: (2023)
Interprecision transfers in iterative refinement
by: Kelley, C. T.
Published: (2024)
by: Kelley, C. T.
Published: (2024)
An inherent regularization approach to parameter-free preconditioning for nearly incompressible linear poroelasticity and elasticity
by: Huang, Weizhang, et al.
Published: (2025)
by: Huang, Weizhang, et al.
Published: (2025)
Forward and backward error bounds for a mixed precision preconditioned conjugate gradient algorithm
by: Bake, Thomas, et al.
Published: (2025)
by: Bake, Thomas, et al.
Published: (2025)
Computation of the exponential function of matrices by a formula without oscillatory integrals on infinite intervals
by: Suzuki, Masato, et al.
Published: (2024)
by: Suzuki, Masato, et al.
Published: (2024)
On spectral properties and fast initial convergence of the Kaczmarz method
by: Hansen, Per Christian, et al.
Published: (2026)
by: Hansen, Per Christian, et al.
Published: (2026)
Similar Items
-
Efficient algorithm for the oscillatory matrix functions
by: Li, Dongping, et al.
Published: (2024) -
Projected exponential methods for stiff dynamical low-rank approximation problems
by: Carrel, Benjamin, et al.
Published: (2023) -
A scaling and recovering algorithm for the matrix $φ$-functions
by: Al-Mohy, Awad H., et al.
Published: (2025) -
Mixed-precision algorithms for solving the Sylvester matrix equation
by: Dmytryshyn, Andrii, et al.
Published: (2025) -
Extended block Hessenberg process for the evaluation of matrix functions
by: Bentbib, A. H., et al.
Published: (2024)