Cover Image

Improved Polynomial Bounds and Acceleration of GMRES by Solving a min-max Problem on Rectangles, and by Deflating

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Spillane, Nicole, Szyld, Daniel B
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

New Convergence Analysis of GMRES with Weighted Norms, Preconditioning and Deflation, Leading to a New Deflation Space
by: Spillane, Nicole, et al.
Published: (2023)

Do you precondition on the left or on the right?
by: Spillane, Nicole, et al.
Published: (2025)

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES
by: Matalon, Pierre, et al.
Published: (2025)

Two-Stage Block Orthogonalization to Improve Performance of $s$-step GMRES
by: Yamazaki, Ichitaro, et al.
Published: (2024)

A block Recycled GMRES method with investigations into aspects of solver performance
by: Parks, Michael L., et al.
Published: (2016)

GenEO spectral coarse spaces in SPD domain decomposition
by: Spillane, Nicole
Published: (2021)

Random-sketching Techniques to Enhance the Numerical Stability of Block Orthogonalization Algorithms for s-step GMRES
by: Yamazaki, Ichitaro, et al.
Published: (2025)

Extending Elman's Bound for GMRES
by: Embree, Mark
Published: (2023)

Stabilizing randomized GMRES through flexible GMRES
by: Güttel, Stefan, et al.
Published: (2025)

An Accelerated Newton-GMRES Method for Multilinear PageRank
by: Boubekraoui, Maryam, et al.
Published: (2025)

Improving performance of contour integral-based nonlinear eigensolvers with infinite GMRES
by: Liu, Yuqi, et al.
Published: (2024)

Deflation Techniques for Finding Multiple Local Minima of a Nonlinear Least Squares Problem
by: Riley, Alban Bloor, et al.
Published: (2024)

Preconditioning of GMRES for Helmholtz problems with quasimodes
by: Dolean, Victorita, et al.
Published: (2025)

Matrix-Free Geometric Multigrid Preconditioning Of Combined Newton-GMRES For Solving Phase-Field Fracture With Local Mesh Refinement
by: Kolditz, Leon Maximilian, et al.
Published: (2024)

Preprocessed GMRES for fast solution of linear equations
by: Zhang, Juan, et al.
Published: (2024)

Convergence Analysis of An Alternating Nonlinear GMRES on Linear Systems
by: He, Yunhui
Published: (2025)

Properties of Nonlinear GMRES Applied to the Preconditioned Richardson Iteration
by: He, Yunhui
Published: (2026)

A Flexible GMRES Solver with Reduced Order Model Enhanced Synthetic Acceleration Preconditioenr for Parametric Radiative Transfer Equation
by: Peng, Zhichao
Published: (2024)

A numerically stable communication-avoiding s-step GMRES algorithm
by: Xu, Zan, et al.
Published: (2023)

Preconditioning Low Rank Generalized Minimal Residual Method (GMRES) for Implicit Discretizations of Matrix Differential Equations
by: Meng, Shixu, et al.
Published: (2024)

High Performance Parallel Solvers for the time-harmonic Maxwell Equations
by: Fressart, Elise, et al.
Published: (2025)

Convergence Analysis for Nonlinear GMRES
by: He, Yunhui
Published: (2025)

New Randomized Global Generalized Minimum Residual (RGl-GMRES) method
by: Badahmane, Achraf, et al.
Published: (2026)

Neural Green's Function Accelerated Iterative Methods for Solving Indefinite Boundary Value Problems
by: Li, Shengyan, et al.
Published: (2024)

Solving Multivariate Polynomial Systems and Rectangular Multiparameter Eigenvalue Problems with MacaulayLab
by: Vermeersch, Christof, et al.
Published: (2026)

Superlinear Convergence of GMRES for clustered eigenvalues and its application to least squares problems
by: Liao, Zeyu, et al.
Published: (2024)

Multiprecision computations with Schwarz methods
by: Outrata, Michal, et al.
Published: (2025)

Hybrid-Precision Block-Jacobi Preconditioned GMRES Solver for Linear System in Circuit Simulation
by: Zhang, Zijian, et al.
Published: (2025)

The GMRES method for solving the large indefinite least squares problem via an accelerated preconditioner
by: Li, Jun, et al.
Published: (2025)

Data-driven geometric parameter optimization for PD-GMRES
by: Duvenbeck, Lennart, et al.
Published: (2025)

GMRES Convergence Analysis for Nonsymmetric Saddle-Point Systems When the Field of Values Contains the Origin
by: Chen, Hao, et al.
Published: (2025)

Mixed precision sketching for least-squares problems and its application in GMRES-based iterative refinement
by: Carson, Erin, et al.
Published: (2024)

Learning incomplete factorization preconditioners for GMRES
by: Häusner, Paul, et al.
Published: (2024)

Polynomial Root-Finding and Algebraic Eigenvalue Problem
by: Pan, Victor Y.
Published: (2018)

Exploring Chebyshev Polynomial Approximations: Error Estimates for Functions of Bounded Variation
by: Akansha, S
Published: (2024)

Deflation-PINNs: Learning Multiple Solutions for PDEs and Landau-de Gennes
by: Disarò, Sean, et al.
Published: (2026)

A FFT-based GMRES for fast solving of Poisson equation in concatenated geometry
by: Jiang, Zichao, et al.
Published: (2025)

Analysis of Normal-Form Algorithms for Solving Systems of Polynomial Equations
by: Parkinson, Suzanna, et al.
Published: (2021)

Bound-Preserving Flux-Corrected Transport Methods for Solving Richards' Equation
by: Barua, Arnob, et al.
Published: (2026)

Neural Network Acceleration of Iterative Methods for Nonlinear Schrödinger Eigenvalue Problems
by: Peterseim, Daniel, et al.
Published: (2025)