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An adaptive block Lanczos algorithm
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf02142326openalex-snapshot
Avoiding breakdown and near-breakdown in Lanczos type algorithms
inferredcites →https://doi.org/10.1016/0010-4655(89)90151-3openalex-snapshot
Some strategies for enhancing the performance of the block Lanczos method
inferredcites →https://doi.org/10.1016/0024-3795(85)90213-7openalex-snapshot
The use of a refined error bound when updating eigenvalues of tridiagonals
inferredcites →https://doi.org/10.1016/0024-3795(87)90129-7openalex-snapshot
The convergence behavior of ritz values in the presence of close eigenvalues
inferredcites →https://doi.org/10.1016/b978-0-12-587260-7.50018-2openalex-snapshot
The Block Lanczos Method for Computing Eigenvalues
inferredcites →https://doi.org/10.1090/s0025-5718-1976-0431641-8openalex-snapshot
Reorthogonalization and stable algorithms for updating the Gram-Schmidt 𝑄𝑅 factorization
inferredcites →https://doi.org/10.1090/s0025-5718-1979-0514820-3openalex-snapshot
The Lanczos Algorithm with Selective Orthogonalization
inferredcites →https://doi.org/10.1090/s0025-5718-1980-0583502-2openalex-snapshot
The spectral transformation Lánczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems
inferredcites →https://doi.org/10.1090/s0025-5718-1982-0637293-9openalex-snapshot
On Estimating the Largest Eigenvalue with the Lanczos Algorithm
inferredcites →https://doi.org/10.1090/s0025-5718-1984-0725988-xopenalex-snapshot
The Lanczos Algorithm With Partial Reorthogonalization
inferredcites →https://doi.org/10.1090/s0025-5718-1985-0771034-2openalex-snapshot
A look-ahead Lánczos algorithm for unsymmetric matrices
inferredcites →https://doi.org/10.1090/s0025-5718-1991-1068826-4openalex-snapshot
A Convergence Analysis for Nonsymmetric Lanczos Algorithms
inferredcites →https://doi.org/10.1090/s0025-5718-1994-1201072-2openalex-snapshot
A Breakdown-Free Variation of the Nonsymmetric Lanczos Algorithms
inferredcites →https://doi.org/10.1109/cdc.1974.270490openalex-snapshot
A block Lanczos algorithm for computing the q algebraically largest eigenvalues and a corresponding eigenspace of large, sparse, real symmetric matrices
inferredcites →https://doi.org/10.1137/0613037openalex-snapshot
A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms, Part I
inferredcites →https://doi.org/10.1137/0717059openalex-snapshot
On the Rates of Convergence of the Lanczos and the Block-Lanczos Methods
inferredcites →https://doi.org/10.1137/0914009openalex-snapshot
An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices
inferredcites →https://doi.org/10.1137/1.9780898719192openalex-snapshot
Lanczos Algorithms for Large Symmetric Eigenvalue Computations
inferredcites →https://doi.org/10.1137/1.9781611971163openalex-snapshot
The Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1137/1031002openalex-snapshot
Fourier Analysis of Iterative Methods for Elliptic pr
inferredcites →https://doi.org/10.1137/s0895479888151111openalex-snapshot
A Shifted Block Lanczos Algorithm for Solving Sparse Symmetric Generalized Eigenproblems
inferredcites →https://doi.org/10.1137/s0895479890188803openalex-snapshot
A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms. Part II
inferredcites →https://doi.org/10.6028/jres.045.026openalex-snapshot
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-1-4613-0261-2_8openalex-snapshot
Systems of Linear Algebraic Equations
inferred← citeshttps://doi.org/10.1007/s00211-014-0681-6openalex-snapshot
Convergence of the block Lanczos method for eigenvalue clusters
inferred← citeshttps://doi.org/10.1007/s002110050439openalex-snapshot
New look-ahead Lanczos-type algorithms for linear systems
inferred← citeshttps://doi.org/10.1007/s11075-008-9192-9openalex-snapshot
Block Krylov–Schur method for large symmetric eigenvalue problems
inferred← citeshttps://doi.org/10.1007/s11075-018-0627-7openalex-snapshot
Filtered Krylov-like sequence method for symmetric eigenvalue problems
inferred← citeshttps://doi.org/10.1007/s11425-016-0297-1openalex-snapshot
Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods
inferred← citeshttps://doi.org/10.1016/j.cam.2008.10.071openalex-snapshot
A block inverse-free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems
inferred← citeshttps://doi.org/10.1016/j.cam.2016.05.005openalex-snapshot
Matrix-free Krylov iteration for implicit convolution of numerically low-rank data
inferred← citeshttps://doi.org/10.1016/s0024-3795(02)00266-5openalex-snapshot
A priori error bounds on invariant subspace approximations by block Krylov subspaces
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00397-6openalex-snapshot
The matrix and polynomial approaches to Lanczos-type algorithms
inferred← citeshttps://doi.org/10.1016/s0377-0427(01)00412-5openalex-snapshot
A review of formal orthogonality in Lanczos-based methods
inferred← citeshttps://doi.org/10.1023/a:1016646115432openalex-snapshot
Dealing with linear dependence during the iterations of the restarted block Lanczos methods
inferred← citeshttps://doi.org/10.1063/1.4892412openalex-snapshot
Computation of the memory functions in the generalized Langevin models for collective dynamics of macromolecules
inferred← citeshttps://doi.org/10.1137/16m1058534openalex-snapshot
Accelerating Convergence by Augmented Rayleigh--Ritz Projections For Large-Scale Eigenpair Computation
inferred← citeshttps://doi.org/10.1137/17m1111401openalex-snapshot
A Lanczos Method for Large-Scale Extreme Lorentz Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/21m1397866openalex-snapshot
A Block Bidiagonalization Method for Fixed-Accuracy Low-Rank Matrix Approximation
inferred← citeshttps://doi.org/10.1137/24m1691831openalex-snapshot
On a Shrink-and-Expand Technique for Symmetric Block Eigensolvers
inferred← citeshttps://doi.org/10.1590/s0101-82052008000200006openalex-snapshot
Model reduction in large scale MIMO dynamical systems via the block Lanczos method
inferred← citeshttps://doi.org/10.4208/cicp.oa-2018-0303openalex-snapshot
An Effective and Easy-to-Implement Boundary Condition for Molecular Dynamics Simulations
inferred← citeshttps://doi.org/10.4208/jcm.1712-m2017-0064openalex-snapshot
A Block Lanczos Method for the CDT Subproblem
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