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Iterative improvement of componentwise errorbounds for invariant subspaces belonging to a double or nearly double eigenvalue

https://doi.org/10.1007/bf02240207
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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/bf01396310openalex-snapshot
Realistic error bounds for a simple eigenvalue and its associated eigenvector
inferredcites →https://doi.org/10.1016/b978-0-12-400060-5.50001-xopenalex-snapshot
Notes and Reports in Computer Science and Applied Mathematics
inferredcites →https://doi.org/10.1016/b978-0-12-428660-3.50010-0openalex-snapshot
SOLVING ALGEBRAIC PROBLEMS WITH HIGH ACCURACY
inferredcites →https://doi.org/10.1016/c2009-0-21898-8openalex-snapshot
Introduction to Interval Computation
inferredcites →https://doi.org/10.1016/c2013-0-11019-7openalex-snapshot
A New Approach to Scientific Computation
inferredcites →https://doi.org/10.1137/0720002openalex-snapshot
Improving the Accuracy of Computed Eigenvalues and Eigenvectors
inferredcites →https://doi.org/10.1137/0720014openalex-snapshot
A Quadratically Convergent Krawczyk-Like Algorithm

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Verification Algorithms for Generalized Singular Values
inferred← citeshttps://doi.org/10.1002/zamm.19940740215openalex-snapshot
A Unified Approach to Enclosure Methods for Eigenpairs
inferred← citeshttps://doi.org/10.1007/978-1-84800-326-2_1openalex-snapshot
Fundamentals of Interval Computing
inferred← citeshttps://doi.org/10.1007/978-3-322-88847-1_5openalex-snapshot
Enclosure Methods and Their Applications in Control Theory
inferred← citeshttps://doi.org/10.1007/s00332-016-9298-5openalex-snapshot
Computing (Un)stable Manifolds with Validated Error Bounds: Non-resonant and Resonant Spectra
inferred← citeshttps://doi.org/10.1007/s11075-009-9339-3openalex-snapshot
Verified error bounds for multiple roots of systems of nonlinear equations
inferred← citeshttps://doi.org/10.1007/s11075-017-0332-yopenalex-snapshot
Verified error bounds for eigenvalues of geometric multiplicity q and corresponding invariant subspaces
inferred← citeshttps://doi.org/10.1016/j.cam.2023.115332openalex-snapshot
Fast computation of error bounds for all eigenpairs of a Hermitian and all singular pairs of a rectangular matrix with emphasis on eigen- and singular value clusters
inferred← citeshttps://doi.org/10.1016/j.indag.2016.06.012openalex-snapshot
Rigorous verification of saddle–node bifurcations in ODEs
inferred← citeshttps://doi.org/10.1016/s0024-3795(00)00274-3openalex-snapshot
A simple method for error bounds of eigenvalues of symmetric matrices
inferred← citeshttps://doi.org/10.1016/s0024-3795(00)00279-2openalex-snapshot
Computational error bounds for multiple or nearly multiple eigenvalues
inferred← citeshttps://doi.org/10.1023/a:1023297204431openalex-snapshot
Epsilon-inflation with contractive interval functions
inferred← citeshttps://doi.org/10.1023/b:bitn.0000009941.51707.26openalex-snapshot
On Eigenvector Bounds
inferred← citeshttps://doi.org/10.1063/1.5070138openalex-snapshot
Direct evaluation of the force constant matrix in quantum Monte Carlo
inferred← citeshttps://doi.org/10.1109/scalah56622.2022.00011openalex-snapshot
Mixed-Precision Algorithm for Finding Selected Eigenvalues and Eigenvectors of Symmetric and Hermitian Matrices1
inferred← citeshttps://doi.org/10.1137/21m1451440openalex-snapshot
Verified Error Bounds for All Eigenvalues and Eigenvectors of a Matrix
inferred← citeshttps://doi.org/10.1137/24m165096xopenalex-snapshot
Verified Error Bounds for Matrix Decompositions
inferred← citeshttps://doi.org/10.13001/ela.2021.5181openalex-snapshot
Fast verification for the Perron pair of an irreducible nonnegative matrix
inferred← citeshttps://doi.org/10.48550/arxiv.1112.5052openalex-snapshot
A method to rigorously enclose eigendecompositions of interval matrices
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