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Improving the Accuracy of Computed Singular Values

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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/bf02163027openalex-snapshot
Singular value decomposition and least squares solutions
inferredcites →https://doi.org/10.1016/0041-5553(66)90153-4openalex-snapshot
The algebraic eigenvalue problem
inferredcites →https://doi.org/10.1137/0720002openalex-snapshot
Improving the Accuracy of Computed Eigenvalues and Eigenvectors
inferredcites →https://doi.org/10.1137/1015095openalex-snapshot
Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
inferredcites →https://doi.org/10.2307/2003558openalex-snapshot
The Algebraic Eigenvalue Problem

What points at this work

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

inferred← citeshttps://doi.org/10.1016/0024-3795(87)90131-5openalex-snapshot
On estimating the condition of eigenvalues and eigenvectors
inferred← citeshttps://doi.org/10.1016/j.cam.2019.112512openalex-snapshot
Iterative refinement for singular value decomposition based on matrix multiplication
inferred← citeshttps://doi.org/10.1016/j.cpc.2008.11.005openalex-snapshot
Accelerating scientific computations with mixed precision algorithms
inferred← citeshttps://doi.org/10.1017/s0962492916000015openalex-snapshot
Linear algebra software for large-scale accelerated multicore computing
inferred← citeshttps://doi.org/10.1017/s0962492922000022openalex-snapshot
Mixed precision algorithms in numerical linear algebra
inferred← citeshttps://doi.org/10.1109/mcse.2022.3198330openalex-snapshot
The Influence and Contribution of Jack Dongarra to Numerical Linear Algebra
inferred← citeshttps://doi.org/10.1109/sc.2006.30openalex-snapshot
Exploiting the Performance of 32 bit Floating Point Arithmetic in Obtaining 64 bit Accuracy (Revisiting Iterative Refinement for Linear Systems)
inferred← citeshttps://doi.org/10.1137/140979381openalex-snapshot
A Preconditioned Hybrid SVD Method for Accurately Computing Singular Triplets of Large Matrices
inferred← citeshttps://doi.org/10.1137/16m1082214openalex-snapshot
PRIMME_SVDS: A High-Performance Preconditioned SVD Solver for Accurate Large-Scale Computations
inferred← citeshttps://doi.org/10.1137/s0895479899359837openalex-snapshot
Newton's Method in Floating Point Arithmetic and Iterative Refinement of Generalized Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/s1064827500372973openalex-snapshot
A Jacobi--Davidson Type SVD Method
inferred← citeshttps://doi.org/10.1145/1188455.1188573openalex-snapshot
Tools and techniques for performance---Exploiting the performance of 32 bit floating point arithmetic in obtaining 64 bit accuracy (revisiting iterative refinement for linear systems)
inferred← citeshttps://doi.org/10.70675/288e1f92z2987z4112za2e1z2d1d7e5fd75eopenalex-snapshot
Contribution to the development of Aitken Restricted Additive Schwarz preconditioning and application to linear systems arising from automatic differentiation of compressible Navier-Stokes solutions with respect to the simulation’s parameters
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