Cover Image

The $ω$-Condition Number: Applications to Optimal Preconditioning and Low Rank Generalized Jacobian Updating

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Jung, Woosuk L., Torregrosa-Belén, David, Wolkowicz, Henry
Format:	Preprint
Published:	2023
Subjects:	Numerical Analysis Optimization and Control 15A12, 65F35, 65F08, 65G50, 49J52, 49K10, 90C32
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Optimal Diagonal Preconditioning Beyond Worst-Case Conditioning: Theory and Practice of Omega Scaling
by: Ghadimi, Saeed, et al.
Published: (2025)

Some notes concerning preconditioning of linear parabolic optimal control problems
by: Blank, Luise
Published: (2024)

Preconditioning techniques for generalized Sylvester matrix equations
by: Voet, Yannis
Published: (2023)

Preconditioned Low-Rank Riemannian Optimization for Symmetric Positive Definite Linear Matrix Equations
by: Bioli, Ivan, et al.
Published: (2024)

Efficient preconditioners for solving dynamical optimal transport via interior point methods
by: Facca, Enrico, et al.
Published: (2022)

Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root
by: Frommer, Andreas, et al.
Published: (2024)

Optimal transfer operators for nonsymmetric two-grid methods
by: Nabben, Reinhard, et al.
Published: (2026)

Multilayer approximate nullspace methods for saddle point systems
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)

Inexact versions of several block-splitting preconditioners for indefinite least squares problems
by: Shaldehi, Mohaddese Kaveh, et al.
Published: (2026)

Row-Splitting ILU Preconditioners for Sparse Least-Squares Problems
by: Scott, Jennifer, et al.
Published: (2026)

NR-SSOR right preconditioned RRGMRES for arbitrary singular systems and least squares problems
by: Sugihara, Kouta, et al.
Published: (2025)

Norm-based convergence bounds for nonsymmetric algebraic V-cycle multigrid methods
by: Nabben, Reinhard, et al.
Published: (2026)

EPIC: a provable accelerated Eigensolver based on Preconditioning and Implicit Convexity
by: Shao, Nian, 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)

A preconditioned difference of convex functions algorithm with extrapolation and line search
by: Zhang, Ran, et al.
Published: (2025)

A computational study of low precision incomplete Cholesky factorization preconditioners for sparse linear least-squares problems
by: Scott, Jennifer, et al.
Published: (2025)

Unique reconstruction for discretized inverse problems: a random sketching approach via subsampling
by: Jin, Ruhui, et al.
Published: (2024)

A robust parameterized enhanced shift-splitting preconditioner for three-by-three block saddle point problems
by: Ahmad, Sk. Safique, et al.
Published: (2024)

Chebyshev smoothing with adaptive block-FSAI preconditioners for the multilevel solution of higher-order problems
by: Recio, Pablo Jiménez, et al.
Published: (2025)

Randomized Krylov-Schur eigensolver with deflation
by: de Damas, Jean-Guillaume, et al.
Published: (2025)

Forward and backward error bounds for a mixed precision preconditioned conjugate gradient algorithm
by: Bake, Thomas, et al.
Published: (2025)

A $C^0$ weak Galerkin method with preconditioning for constrained optimal control problems with general tracking
by: Jeong, SeongHee, et al.
Published: (2025)

On generalized preconditioners for time-parallel parabolic optimal control
by: Bouillon, Arne, et al.
Published: (2023)

On spectral properties and fast initial convergence of the Kaczmarz method
by: Hansen, Per Christian, et al.
Published: (2026)

Riemannian Acceleration with Preconditioning for symmetric eigenvalue problems
by: Shao, Nian, et al.
Published: (2023)

Fast solution of Sylvester-structured systems for spatial source separation of the Cosmic Microwave Background
by: Pham, Dung, et al.
Published: (2022)

Sequential Hierarchical Least-Squares Programming for Prioritized Non-Linear Optimal Control
by: Pfeiffer, Kai, et al.
Published: (2023)

Analysis of Randomized Householder-Cholesky QR Factorization with Multisketching
by: Higgins, Andrew J., et al.
Published: (2023)

Randomized block Gram-Schmidt process for solution of linear systems and eigenvalue problems
by: Balabanov, Oleg, et al.
Published: (2021)

Fast numerical solvers for parameter identification problems in mathematical biology
by: Benková, Karolína, et al.
Published: (2024)

Low-Rank Solvers for Energy-Conserving Hamiltonian Boundary Value Methods
by: Durastante, Fabio, et al.
Published: (2025)

A $\operatorname{prox}$-Based Semi-Smooth Newton Method for TV-Minimization
by: Bartels, Sören, et al.
Published: (2026)

Balancing Inexactness in Mixed Precision Matrix Computations
by: Carson, Erin Claire
Published: (2026)

Preconditioning via Randomized Range Deflation (RandRAND)
by: Balabanov, Oleg, et al.
Published: (2025)

Cycle-Free Polytopal Mesh Sweeping for Boltzmann Transport
by: Calloo, Ansar, et al.
Published: (2024)

A Neural-Operator Preconditioned Newton Method for Accelerated Nonlinear Solvers
by: Lee, Youngkyu, et al.
Published: (2025)

A family of high-order accurate contour integral methods for strongly continuous semigroups
by: Horning, Andrew, et al.
Published: (2024)

Neural Preconditioning via Krylov Subspace Geometry
by: Dimola, Nunzio, et al.
Published: (2025)

Double precision is not necessary for LSQR for solving discrete linear ill-posed problems
by: Li, Haibo
Published: (2022)