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A Communication-Avoiding, Hybrid-Parallel, Rank-Revealing Orthogonalization Method

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-540-30218-6_19openalex-snapshot
Open MPI: Goals, Concept, and Design of a Next Generation MPI Implementation
inferredcites →https://doi.org/10.1016/0024-3795(80)90247-5openalex-snapshot
The block conjugate gradient algorithm and related methods
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/10.1088/1742-6596/180/1/012037openalex-snapshot
Numerical linear algebra on emerging architectures: The PLASMA and MAGMA projects
inferredcites →https://doi.org/10.1109/ipdps.2008.4536305openalex-snapshot
Avoiding communication in sparse matrix computations
inferredcites →https://doi.org/10.1109/pdp.2010.49openalex-snapshot
A Light-weight API for Portable Multicore Programming
inferredcites →https://doi.org/10.1137/040608088openalex-snapshot
On Improving Linear Solver Performance: A Block Variant of GMRES
inferredcites →https://doi.org/10.1137/070682563openalex-snapshot
Block Gram–Schmidt Orthogonalization
inferredcites →https://doi.org/10.1137/080725763openalex-snapshot
Nonnegative Diagonals and High Performance on Low-Profile Matrices from Householder QR
inferredcites →https://doi.org/10.1137/0907079openalex-snapshot
Computing the Polar Decomposition—with Applications
inferredcites →https://doi.org/10.1137/s0895479800371529openalex-snapshot
A Krylov--Schur Algorithm for Large Eigenproblems
inferredcites →https://doi.org/10.1145/1089014.1089021openalex-snapshot
An overview of the Trilinos project
inferredcites →https://doi.org/10.1145/1527286.1527287openalex-snapshot
Anasazi software for the numerical solution of large-scale eigenvalue problems
inferredcites →https://doi.org/10.1145/1654059.1654096openalex-snapshot
Minimizing communication in sparse matrix solvers
inferredcites →https://doi.org/10.48550/arxiv.0806.2159openalex-snapshot
Communication-optimal parallel and sequential QR and LU factorizations: theory and practice
inferredcites →https://doi.org/10.5555/1352079.1352134openalex-snapshot
Intel threading building blocks
inferredcites →https://doi.org/10.7551/mitpress/9486.003.0016openalex-snapshot
Intel Threading Building Blocks

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-319-17353-5_1openalex-snapshot
A Communication Optimization Scheme for Basis Computation of Krylov Subspace Methods on Multi-GPUs
inferred← citeshttps://doi.org/10.1007/978-3-319-17353-5_23openalex-snapshot
Performance Analysis of the Householder-Type Parallel Tall-Skinny QR Factorizations Toward Automatic Algorithm Selection
inferred← citeshttps://doi.org/10.1007/s10618-023-00983-zopenalex-snapshot
Federated singular value decomposition for high-dimensional data
inferred← citeshttps://doi.org/10.1016/j.camwa.2018.03.028openalex-snapshot
Computation of compressible and incompressible flows with a space–time stabilized finite element method
inferred← citeshttps://doi.org/10.1016/j.jpdc.2015.06.003openalex-snapshot
Reconstructing Householder vectors from Tall-Skinny QR
inferred← citeshttps://doi.org/10.1016/j.parco.2014.06.004openalex-snapshot
A parallel linear solver for multilevel Toeplitz systems with possibly several right-hand sides
inferred← citeshttps://doi.org/10.1109/cluster.2015.25openalex-snapshot
A TSQR Based Krylov Basis Computation Method on Hybrid GPU Cluster
inferred← citeshttps://doi.org/10.1109/icdm51629.2021.00127openalex-snapshot
Federated Principal Component Analysis for Genome-Wide Association Studies
inferred← citeshttps://doi.org/10.1109/icpads.2016.0144openalex-snapshot
suCAQR: A Simplified Communication-Avoiding QR Factorization Solver Using the TBLAS Framework
inferred← citeshttps://doi.org/10.1109/ipdps.2014.120openalex-snapshot
Reconstructing Householder Vectors from Tall-Skinny QR
inferred← citeshttps://doi.org/10.1109/ipdps.2014.48openalex-snapshot
Improving the Performance of CA-GMRES on Multicores with Multiple GPUs
inferred← citeshttps://doi.org/10.1109/scala.2014.11openalex-snapshot
CholeskyQR2: A Simple and Communication-Avoiding Algorithm for Computing a Tall-Skinny QR Factorization on a Large-Scale Parallel System
inferred← citeshttps://doi.org/10.1137/24m1709017openalex-snapshot
A Stable One-Synchronization Variant of Reorthogonalized Block Classical Gram–Schmidt
inferred← citeshttps://doi.org/10.1155/2012/243875openalex-snapshot
Amesos2 and Belos: Direct and Iterative Solvers for Large Sparse Linear Systems
inferred← citeshttps://doi.org/10.2139/ssrn.4868667openalex-snapshot
Parallel Proper-Orthogonal/Dynamic-Mode Decompositions of Large Flowfields
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