Cover Image

A generalized skew-symmetric Lanczos bidiagonalization method for computing several extreme eigenpairs of a large skew-symmetric/symmetric positive definite matrix pair

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Huang, Jinzhi
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis 65F15, 15A18, 65F10, 65F25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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)

New Jacobi--Davidson type methods for the large SVD computations
by: Huang, Jinzhi, 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)

Randomized Implicitly Restarted Arnoldi method for the non-symmetric eigenvalue problem
by: de Damas, Jean-Guillaume, et al.
Published: (2024)

The joint bidiagonalization of a matrix pair with inaccurate inner iterations
by: Li, Haibo
Published: (2023)

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

Obtaining the pseudoinverse solution of singular range-symmetric linear systems with GMRES-type methods
by: Du, Kui, et al.
Published: (2024)

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

On a shrink-and-expand technique for symmetric block eigensolvers
by: Liu, Yuqi, et al.
Published: (2024)

Deflation for the off-diagonal block in symmetric saddle point systems
by: Dumitrasc, Andrei, et al.
Published: (2023)

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

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

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

Distance to nearest skew-symmetric matrix polynomials of bounded rank
by: Dmytryshyn, Andrii, et al.
Published: (2026)

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

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

TriCG with deflated restarting for symmetric quasi-definite linear systems
by: Du, Kui, et al.
Published: (2026)

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

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

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

When Lanczos Iterations Generate Symmetric Quadrature Nodes?
by: Li, Wenhao, et al.
Published: (2024)

GPBiLQ and GPQMR: Two iterative methods for unsymmetric partitioned linear systems
by: Du, Kui, et al.
Published: (2024)

Momentum accelerated power iterations and the restarted Lanczos method
by: Barletta, Alessandro, et al.
Published: (2025)

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)

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

Mixed-precision algorithms for solving the Sylvester matrix equation
by: Dmytryshyn, Andrii, et al.
Published: (2025)

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

The eigenvalue decomposition of normal matrices by the skew-symmetric part
by: Mataigne, Simon, et al.
Published: (2024)

Backward errors for multiple eigenpairs in structured and unstructured nonlinear eigenvalue problems
by: Gnazzo, Miryam, et al.
Published: (2024)

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)

Eigenvalue Computation from the Optimization Perspective: On Jacobi-Davidson, IIGD, RQI, and Newton Updates
by: Zhou, Yunkai
Published: (2004)

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

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

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

A mixed precision preconditioned Jacobi method for the symmetric eigenvalue problem
by: Zhang, Zhiyuan, et al.
Published: (2022)

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

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

Block cross-interactive residual smoothing for Lanczos-type solvers for linear systems with multiple right-hand sides
by: Aihara, Kensuke, et al.
Published: (2024)

A unifying framework for ADI-like methods for linear matrix equations and beneficial consequences
by: Schulze, Jonas, et al.
Published: (2024)