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The design of a parallel dense linear algebra software library: Reduction to Hessenberg, tridiagonal, and bidiagonal form

https://doi.org/10.1007/bf02140776
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1006/jpdc.1994.1108openalex-snapshot
Scalability Issues Affecting the Design of a Dense Linear Algebra Library
inferredcites →https://doi.org/10.1016/0167-8191(90)90053-copenalex-snapshot
Data redistribution and concurrency
inferredcites →https://doi.org/10.1016/0167-8191(92)90011-uopenalex-snapshot
Reduction to condensed form for the Eigenvalue problem on distributed memory architectures
inferredcites →https://doi.org/10.1016/0377-0427(89)90367-1openalex-snapshot
Block reduction of matrices to condensed forms for eigenvalue computations
inferredcites →https://doi.org/10.1109/fmpc.1992.234898openalex-snapshot
ScaLAPACK: a scalable linear algebra library for distributed memory concurrent computers
inferredcites →https://doi.org/10.1109/ipps.1994.288214openalex-snapshot
The design of scalable software libraries for distributed memory concurrent computers
inferredcites →https://doi.org/10.1109/shpcc.1992.232670openalex-snapshot
A look at scalable dense linear algebra libraries
inferredcites →https://doi.org/10.1109/shpcc.1994.296688openalex-snapshot
PB-BLAS: a set of Parallel Block Basic Linear Algebra Subprograms
inferredcites →https://doi.org/10.1109/superc.1990.129995openalex-snapshot
LAPACK: A portable linear algebra library for high-performance computers
inferredcites →https://doi.org/10.1137/0908009openalex-snapshot
The WY Representation for Products of Householder Matrices
inferredcites →https://doi.org/10.1137/0910005openalex-snapshot
A Storage-Efficient $WY$ Representation for Products of Householder Transformations
inferredcites →https://doi.org/10.1137/0914075openalex-snapshot
Block-Cyclic Dense Linear Algebra
inferredcites →https://doi.org/10.1137/1037042openalex-snapshot
Software Libraries for Linear Algebra Computations on High Performance Computers
inferredcites →https://doi.org/10.1145/355841.355847openalex-snapshot
Basic Linear Algebra Subprograms for Fortran Usage
inferredcites →https://doi.org/10.1145/42288.42291openalex-snapshot
An extended set of FORTRAN basic linear algebra subprograms
inferredcites →https://doi.org/10.1145/77626.79170openalex-snapshot
A set of level 3 basic linear algebra subprograms
inferredcites →https://doi.org/10.2172/5604546openalex-snapshot
LAPACK users' guide: Release 1. 0
inferredcites →https://doi.org/10.2172/7275582openalex-snapshot
A look at scalable dense linear algebra libraries
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations

What points at this work

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

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Parallel eigenvalue reordering in real Schur forms
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Using Pentangular Factorizations for the Reduction to Banded Form
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High performance computational chemistry: NWChem and fully distributed parallel applications
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Case studies on the development of ScaLAPACK and the NAG Numerical PVM Library
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Memetic Algorithms for Parallel Code Optimization
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Diagonalization of complex symmetric matrices: Generalized Householder reflections, iterative deflation and implicit shifts
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Distributed-parallel proper orthogonal/dynamic mode decompositions of large flow data
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Parallel two-stage reduction to Hessenberg form using dynamic scheduling on shared-memory architectures
inferred← citeshttps://doi.org/10.1016/s0167-8191(99)00041-1openalex-snapshot
Efficient parallel reduction to bidiagonal form
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Optimization of Data Distribution and Processor Allocation Problem Using Simulated Annealing
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Design and performance evaluation of a portable parallel library for space-time adaptive processing
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A parallel Schur method for solving continuous-time algebraic Riccati equations
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Genetic algorithms for parallel code optimization
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Fault tolerant matrix operations using checksum and reverse computation
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GPU task parallelism for scalable anomaly detection
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A distribution independent algorithm for the reduction to tridiagonal form using one-sided rotations
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A three-parameter fast Givens QR algorithm for superscalar processors
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Parallel compact WY QR factorization for asynchronous message passing
inferred← citeshttps://doi.org/10.1109/ipdps.2003.1213467openalex-snapshot
Matrix bidiagonalization on the Trident processor
inferred← citeshttps://doi.org/10.1109/ipdps.2009.5161058openalex-snapshot
Singular value decomposition on GPU using CUDA
inferred← citeshttps://doi.org/10.1109/ipdps.2017.46openalex-snapshot
Bidiagonalization and R-Bidiagonalization: Parallel Tiled Algorithms, Critical Paths and Distributed-Memory Implementation
inferred← citeshttps://doi.org/10.1137/090756934openalex-snapshot
A Novel Parallel QR Algorithm for Hybrid Distributed Memory HPC Systems
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The Singular Value Decomposition: Anatomy of Optimizing an Algorithm for Extreme Scale
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A Parallel Algorithm for the Reduction to Tridiagonal Form for Eigendecomposition
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Toward an Efficient Parallel Eigensolver for Dense Symmetric Matrices
inferred← citeshttps://doi.org/10.1142/s0129054119500266openalex-snapshot
An Input/Output Efficient Algorithm for Hessenberg Reduction
inferred← citeshttps://doi.org/10.1145/1356052.1356055openalex-snapshot
Cache efficient bidiagonalization using BLAS 2.5 operators
inferred← citeshttps://doi.org/10.1145/1644001.1644002openalex-snapshot
ScaLAPACK's MRRR algorithm
inferred← citeshttps://doi.org/10.1145/2530268.2530270openalex-snapshot
CPU-GPU hybrid bidiagonal reduction with soft error resilience
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The generalized matrix chain algorithm
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The generalized matrix chain algorithm
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Optimization of Sparse Matrix Block LU Factorization: A Hybrid MPI-OpenMP Parallel Method
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Design and Implementation of the ScaLAPACK LU, QR, and Cholesky Factorization Routines
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Crpc Research Into Linear Algebra Software for High Performance Computers
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Cluster-Computing und Computational Science mit der Wuppertaler Alpha-Linux-Cluster-Engine ALiCE
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Realistic Performance Prediction Tool for the Parallel Block LU Factorization Algorithm
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Parallel Proper-Orthogonal/Dynamic-Mode Decompositions of Large Flowfields
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Singular value decomposition utilizing parallel algorithms on graphical processors
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Bidiagonalization with Parallel Tiled Algorithms
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