Cover Image

A low-memory Lanczos method with rational Krylov compression for matrix functions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Casulli, Angelo A., Simunec, Igor
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis 65F60, 65F50
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Lanczos with compression for symmetric matrix Lyapunov equations
by: Casulli, Angelo A., et al.
Published: (2025)

Near instance optimality of the Lanczos method for Stieltjes and related matrix functions
by: Schweitzer, Marcel
Published: (2025)

Sketched and truncated polynomial Krylov methods: Evaluation of matrix functions
by: Palitta, Davide, et al.
Published: (2023)

Accelerating a restarted Krylov method for matrix functions with randomization
by: Guidotti, Nicolas L., et al.
Published: (2025)

A sketch-and-select Arnoldi process
by: Güttel, Stefan, et al.
Published: (2023)

Lanczos with compression for symmetric eigenvalue problems
by: Casulli, Angelo A., et al.
Published: (2026)

Estimation of spectral gaps for sparse symmetric matrices
by: Benzi, Michele, et al.
Published: (2024)

Error formulas for block rational Krylov approximations of matrix functions
by: Massei, Stefano, et al.
Published: (2025)

Nearly Optimal Approximation of Matrix Functions by the Lanczos Method
by: Amsel, Noah, et al.
Published: (2023)

A Krylov projection algorithm for large symmetric matrices with dense spectra
by: Druskin, Vladimir, et al.
Published: (2025)

Estimating the numerical range with a Krylov subspace
by: Chen, Cecilia, et al.
Published: (2024)

Randomized block-Krylov subspace methods for low-rank approximation of matrix functions
by: Persson, David, et al.
Published: (2025)

A novel Krylov subspace method for approximating Fréchet derivatives of large-scale matrix functions
by: Kressner, Daniel, et al.
Published: (2026)

Approximating Sparse Matrices and their Functions using Matrix-vector products
by: Park, Taejun, et al.
Published: (2023)

On finite precision block Lanczos computations
by: Šimonová, Dorota, et al.
Published: (2025)

Krylov Subspace Recycling For Matrix Functions
by: Burke, Liam, et al.
Published: (2022)

Splitting methods based on the nonzero diagonal pattern for computing matrix functions
by: Hamadi, Majed, et al.
Published: (2024)

Monotonicity, bounds and extrapolation of Block-Gauss and Gauss-Radau quadrature for computing $B^T ϕ(A) B$
by: Zimmerling, Jörn, et al.
Published: (2024)

On a randomized small-block Lanczos method for large-scale null space computations
by: Kressner, Daniel, et al.
Published: (2024)

BOLT: Block-Orthonormal Lanczos for Trace estimation of matrix functions
by: Yeon, Kingsley, et al.
Published: (2025)

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

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

GMRES with randomized sketching and deflated restarting
by: Burke, Liam, et al.
Published: (2023)

Computing Functions of Symmetric Hierarchically Semiseparable Matrices
by: Casulli, Angelo A., et al.
Published: (2024)

Variants of thick-restart Lanczos for the Bethe-Salpeter eigenvalue problem
by: Alvarruiz, Fernando, et al.
Published: (2025)

A general framework for Krylov ODE residuals with applications to randomized Krylov methods
by: Krieger, Emil, et al.
Published: (2025)

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

Stability of the Lanczos algorithm on matrices with regular spectral distributions
by: Chen, Tyler, et al.
Published: (2023)

Multilayer approximate nullspace methods for saddle point systems
by: Manguoğlu, Murat, et al.
Published: (2025)

Sketched and Truncated Polynomial Krylov Subspace Methods: Matrix Sylvester Equations
by: Palitta, Davide, et al.
Published: (2023)

The Detection and Correction of Silent Errors in Pipelined Krylov Subspace Methods
by: Carson, Erin Claire, et al.
Published: (2024)

Fast and Inverse-Free Algorithms for Deflating Subspaces
by: Demmel, James, et al.
Published: (2023)

Algorithm-agnostic low-rank approximation of operator monotone matrix functions
by: Persson, David, et al.
Published: (2023)

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

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

On the backward stability of s-step GMRES
by: Carson, Erin, et al.
Published: (2024)

On the numerical stability of sketched GMRES
by: Burke, Liam, et al.
Published: (2025)

Efficient algorithm for the oscillatory matrix functions
by: Li, Dongping, et al.
Published: (2024)

Randomized biorthogonalization through a two-sided Gram-Schmidt process
by: Grigori, Laura, et al.
Published: (2025)

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