Cover Image

Backward errors for multiple eigenpairs in structured and unstructured nonlinear eigenvalue problems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gnazzo, Miryam, Robol, Leonardo
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis 65H17, 65F15, 15A18
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Conditioning and backward errors for nonlinear eigenvalue problems with eigenvector nonlinearities
by: Lithell, Vilhelm Peterson, et al.
Published: (2026)

Structured distance to singularity as a nonlinear system of equations
by: Gnazzo, Miryam, et al.
Published: (2026)

Riemann-Oracle: A general-purpose Riemannian optimizer to solve nearness problems in matrix theory
by: Gnazzo, Miryam, et al.
Published: (2024)

On the numerical approximation of the distance to singularity for matrix-valued functions
by: Gnazzo, Miryam, et al.
Published: (2023)

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

A skew-symmetric Lanczos bidiagonalization method for computing several largest eigenpairs of a large skew-symmetric matrix
by: Huang, Jinzhi, et al.
Published: (2022)

A generalized skew-symmetric Lanczos bidiagonalization method for computing several extreme eigenpairs of a large skew-symmetric/symmetric positive definite matrix pair
by: Huang, Jinzhi
Published: (2024)

Numerical methods for eigenvalues of singular polynomial eigenvalue problems
by: Hochstenbach, Michiel E., et al.
Published: (2024)

A Chebyshev--Jackson series based block SS--RR algorithm for computing partial eigenpairs of real symmetric matrices
by: Jia, Zhongxiao, et al.
Published: (2025)

Computing accurate eigenvalues using a mixed-precision Jacobi algorithm
by: Higham, Nicholas J., et al.
Published: (2025)

Approximating the closest structured singular matrix polynomial
by: Gnazzo, Miryam, et al.
Published: (2023)

Finding accurate eigenvalues and eigenvectors of positive semi-definite matrices given a subspace
by: Nakatsukasa, Yuji, et al.
Published: (2026)

Structure-preserving deflation of critical eigenvalues in quadratic eigenvalue problems associated with damped mass-spring systems
by: Alam, Rafikul, et al.
Published: (2025)

NEP_MiniMax: An Approach for NEPs Based on Matrix-valued Minimax Approximations
by: Zhang, Chenkun, et al.
Published: (2026)

Extremal and optimal properties of B-bases Collocation Matrices
by: Delgado, Jorge, et al.
Published: (2019)

A Newton method for solving locally definite multiparameter eigenvalue problems by multiindex
by: Eisenmann, Henrik
Published: (2024)

Transient dynamics under structured perturbations: bridging unstructured and structured pseudospectra
by: Lubich, Christian, et al.
Published: (2024)

Optimal properties of tensor product of B-bases
by: Delgado, Jorge, et al.
Published: (2025)

Decompositions and coalescing eigenvalues of symmetric definite pencils depending on parameters
by: Dieci, Luca, et al.
Published: (2021)

A refined CJ--SS--RR method with a reliable removal approach of spurious Ritz values for the Hermitian eigenvalue problem
by: Jia, Zhongxiao, et al.
Published: (2026)

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

A multilinear Nyström algorithm for low-rank approximation of tensors in Tucker format
by: Bucci, Alberto, et al.
Published: (2023)

Randomized methods for computing joint eigenvalues, with applications to multiparameter eigenvalue problems and root finding
by: He, Haoze, et al.
Published: (2024)

New Jacobi--Davidson type methods for the large SVD computations
by: Huang, Jinzhi, et al.
Published: (2024)

A Contour Integral-Based Algorithm for Computing Generalized Singular Values
by: Liu, Yuqi, et al.
Published: (2023)

Refined and refined harmonic Jacobi--Davidson methods for computing several GSVD components of a large regular matrix pair
by: Huang, Jinzhi, et al.
Published: (2023)

An augmented matrix-based CJ-FEAST SVDsolver for computing a partial singular value decomposition with the singular values in a given interval
by: Jia, Zhongxiao, et al.
Published: (2023)

A Structure-Preserving LOBPCG Algorithm for the Bethe-Salpeter Eigenvalue Problem
by: Shan, Xinyu, et al.
Published: (2026)

On an inverse tridiagonal eigenvalue problem and its application to synchronization of network motion
by: Dieci, Luca, et al.
Published: (2024)

An Implicitly Restarted Joint Bidiagonalization Algorithm for Large GSVD Computations
by: Fang, Kaixiao, et al.
Published: (2025)

Spectral Schur analysis of structured moment matrices for quadratic histopolation
by: Guessab, Allal, et al.
Published: (2026)

Sharp error bounds for approximate eigenvalues and singular values from subspace methods
by: Haas, Irina-Beatrice, et al.
Published: (2025)

On properties and numerical computation of critical points of eigencurves of bivariate matrix pencils
by: Plestenjak, Bor
Published: (2024)

Takagi factorization of matrices depending on parameters and locating degeneracies of singular values
by: Dieci, Luca, et al.
Published: (2021)

On Stewart's Perturbation Theorem for SVD
by: Li, Ren-Cang, et al.
Published: (2024)

The RQR algorithm
by: Camps, Daan, et al.
Published: (2024)

Exact deflation for accurate SVD computation of nonnegative bidiagonal products of arbitrary rank
by: Huang, Rong, et al.
Published: (2025)

Invariant subspace perturbations related to defective eigenvalues of $Δ$-Hermitian and Hamiltonian matrices
by: Xu, Hongguo
Published: (2025)

Stabilization of a matrix via a low rank-adaptive ODE
by: Guglielmi, Nicola, et al.
Published: (2024)

A Unifying Framework for Doubling Algorithms
by: Liu, Changli, et al.
Published: (2026)