Forward and backward error bounds for a mixed precision preconditioned conjugate gradient algorithm
Fuente:
arXiv
Saved in:
| Main Authors: | Bake, Thomas, Carson, Erin, Ma, Yuxin |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Mixed precision thin SVD algorithms based on the Gram matrix
by: Carson, Erin, et al.
Published: (2026)
by: Carson, Erin, et al.
Published: (2026)
A stable one-synchronization variant of reorthogonalized block classical Gram--Schmidt
by: Carson, Erin, et al.
Published: (2024)
by: Carson, Erin, et al.
Published: (2024)
Mixed Precision FGMRES-Based Iterative Refinement for Weighted Least Squares
by: Carson, Erin, et al.
Published: (2024)
by: Carson, Erin, et al.
Published: (2024)
On the backward stability of s-step GMRES
by: Carson, Erin, et al.
Published: (2024)
by: Carson, Erin, et al.
Published: (2024)
The Performance of Low-Synchronization Variants of Reorthogonalized Block Classical Gram--Schmidt
by: Carson, Erin, et al.
Published: (2025)
by: Carson, Erin, et al.
Published: (2025)
Reorthogonalized Pythagorean variants of block classical Gram-Schmidt
by: Carson, Erin, et al.
Published: (2024)
by: Carson, Erin, et al.
Published: (2024)
On the loss of orthogonality in low-synchronization variants of reorthogonalized block classical Gram-Schmidt
by: Carson, Erin, et al.
Published: (2024)
by: Carson, Erin, et al.
Published: (2024)
NR-SSOR right preconditioned RRGMRES for arbitrary singular systems and least squares problems
by: Sugihara, Kouta, et al.
Published: (2025)
by: Sugihara, Kouta, et al.
Published: (2025)
On the numerical stability of sketched GMRES
by: Burke, Liam, et al.
Published: (2025)
by: Burke, Liam, et al.
Published: (2025)
Balancing Inexactness in Mixed Precision Matrix Computations
by: Carson, Erin Claire
Published: (2026)
by: Carson, Erin Claire
Published: (2026)
Hybrid hierarchical matrices with adaptive mixed precision storage
by: Khan, Ritesh, et al.
Published: (2026)
by: Khan, Ritesh, et al.
Published: (2026)
Mixed precision multigrid with smoothing based on incomplete Cholesky factorization
by: Vacek, Petr, et al.
Published: (2025)
by: Vacek, Petr, et al.
Published: (2025)
Generalized preconditioned conjugate gradients for adaptive FEM with optimal complexity
by: Hilbert, Paula, et al.
Published: (2026)
by: Hilbert, Paula, et al.
Published: (2026)
Neural Preconditioning via Krylov Subspace Geometry
by: Dimola, Nunzio, et al.
Published: (2025)
by: Dimola, Nunzio, et al.
Published: (2025)
High-precision randomized iterative methods for the random feature method
by: Chen, Jingrun, et al.
Published: (2024)
by: Chen, Jingrun, et al.
Published: (2024)
Norm-based convergence bounds for nonsymmetric algebraic V-cycle multigrid methods
by: Nabben, Reinhard, et al.
Published: (2026)
by: Nabben, Reinhard, et al.
Published: (2026)
Double precision is not necessary for LSQR for solving discrete linear ill-posed problems
by: Li, Haibo
Published: (2022)
by: Li, Haibo
Published: (2022)
Row-Splitting ILU Preconditioners for Sparse Least-Squares Problems
by: Scott, Jennifer, et al.
Published: (2026)
by: Scott, Jennifer, et al.
Published: (2026)
Multiprecision computations with Schwarz methods
by: Outrata, Michal, et al.
Published: (2025)
by: Outrata, Michal, et al.
Published: (2025)
Multilayer approximate nullspace methods for saddle point systems
by: Manguoğlu, Murat, et al.
Published: (2025)
by: Manguoğlu, Murat, et al.
Published: (2025)
A Class of Generalized Shift-Splitting Preconditioners for Double Saddle Point Problems
by: Ahmad, Sk. Safique, et al.
Published: (2024)
by: Ahmad, Sk. Safique, et al.
Published: (2024)
Inexact versions of several block-splitting preconditioners for indefinite least squares problems
by: Shaldehi, Mohaddese Kaveh, et al.
Published: (2026)
by: Shaldehi, Mohaddese Kaveh, et al.
Published: (2026)
A computational study of low precision incomplete Cholesky factorization preconditioners for sparse linear least-squares problems
by: Scott, Jennifer, et al.
Published: (2025)
by: Scott, Jennifer, et al.
Published: (2025)
Fast and forward stable randomized algorithms for linear least-squares problems
by: Epperly, Ethan N.
Published: (2023)
by: Epperly, Ethan N.
Published: (2023)
Stable algorithms for general linear systems by preconditioning the normal equations
by: Epperly, Ethan N., et al.
Published: (2025)
by: Epperly, Ethan N., et al.
Published: (2025)
A mixed precision LOBPCG algorithm
by: Kressner, Daniel, et al.
Published: (2023)
by: Kressner, Daniel, et al.
Published: (2023)
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)
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)
On finite precision block Lanczos computations
by: Šimonová, Dorota, et al.
Published: (2025)
by: Šimonová, Dorota, et al.
Published: (2025)
A mixed precision preconditioned Jacobi method for the symmetric eigenvalue problem
by: Zhang, Zhiyuan, et al.
Published: (2022)
by: Zhang, Zhiyuan, et al.
Published: (2022)
Optimal transfer operators for nonsymmetric two-grid methods
by: Nabben, Reinhard, et al.
Published: (2026)
by: Nabben, Reinhard, et al.
Published: (2026)
Optimal Polynomial Smoothers for Parallel AMG
by: D'Ambra, Pasqua, et al.
Published: (2024)
by: D'Ambra, Pasqua, et al.
Published: (2024)
Algebraic Multigrid with Overlapping Schwarz Smoothers and Local Spectral Coarse Grids for Least Squares Problems
by: Southworth, Ben S., et al.
Published: (2026)
by: Southworth, Ben S., et al.
Published: (2026)
Mixed-precision algorithms for solving the Sylvester matrix equation
by: Dmytryshyn, Andrii, et al.
Published: (2025)
by: Dmytryshyn, Andrii, et al.
Published: (2025)
Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement
by: Dereziński, Michał, et al.
Published: (2026)
by: Dereziński, Michał, et al.
Published: (2026)
Symbol-based multilevel block $τ$ preconditioners for multilevel block Toeplitz systems: GLT-based analysis and applications
by: Hon, Sean Y., et al.
Published: (2024)
by: Hon, Sean Y., et al.
Published: (2024)
Hybrid LSMR algorithms for large-scale general-form regularization
by: Yang, Yanfei
Published: (2024)
by: Yang, Yanfei
Published: (2024)
Hybrid CGME and TCGME algorithms for large-scale general-form regularization
by: Yang, Yanfei
Published: (2023)
by: Yang, Yanfei
Published: (2023)
Fast randomized least-squares solvers can be just as accurate and stable as classical direct solvers
by: Epperly, Ethan N., et al.
Published: (2024)
by: Epperly, Ethan N., et al.
Published: (2024)
Inexact Gauss Seidel and Coarse Solvers for AMG and s-step CG
by: Thomas, Stephen, et al.
Published: (2025)
by: Thomas, Stephen, et al.
Published: (2025)
Similar Items
-
Mixed precision thin SVD algorithms based on the Gram matrix
by: Carson, Erin, et al.
Published: (2026) -
A stable one-synchronization variant of reorthogonalized block classical Gram--Schmidt
by: Carson, Erin, et al.
Published: (2024) -
Mixed Precision FGMRES-Based Iterative Refinement for Weighted Least Squares
by: Carson, Erin, et al.
Published: (2024) -
On the backward stability of s-step GMRES
by: Carson, Erin, et al.
Published: (2024) -
The Performance of Low-Synchronization Variants of Reorthogonalized Block Classical Gram--Schmidt
by: Carson, Erin, et al.
Published: (2025)