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New serial and parallel recursive QR factorization algorithms for SMP systems
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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/bf00127828openalex-snapshot
Adaptive blocking in the QR factorization
inferredcites →https://doi.org/10.1016/0024-3795(86)90164-3openalex-snapshot
Squeezing the most out of eigenvalue solvers on 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/s0895479896297744openalex-snapshot
Locality of Reference in LU Decomposition with Partial Pivoting
inferredcites →https://doi.org/10.1147/rd.416.0737openalex-snapshot
Recursion leads to automatic variable blocking for dense linear-algebra algorithms
inferredcites →https://doi.org/10.1177/109434209200600105openalex-snapshot
Parallel Block Matrix Factorizations on the Shared-Memory Multiprocessor Ibm 3090 VF/600J
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Scheduling dense linear algebra operations on multicore processors
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Achieving numerical accuracy and high performance using recursive tile LU factorization with partial pivoting
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Very Large Electronic Structure Calculations Using an Out-of-Core Filter-Diagonalization Method
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Experience with a Recursive Perturbation Based Algorithm for Symmetric Indefinite Linear Systems⋆
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Parallel Triangular Sylvester-Type Matrix Equation Solvers for SMP Systems Using Recursive Blocking
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High-Performance Library Software for QR Factorization
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Avoiding Communication through a Multilevel LU Factorization
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I/O Efficient Algorithms for Block Hessenberg Reduction Using Panel Approach
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Recursive blocked data formats and BLAS’s for dense linear algebra algorithms
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Parallel direct methods for solving the system of linear equations with pipelining on a multicore using OpenMP
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Self-adapting software for numerical linear algebra and LAPACK for clusters
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A class of parallel tiled linear algebra algorithms for multicore architectures
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An efficient implementation of parallel eigenvalue computation for massively parallel processing
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Communication lower bounds and optimal algorithms for numerical linear algebra
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Automatic Parallelization of Recursive Procedures
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A Faster and Simpler Recursive Algorithm for the LAPACK Routine DGELS
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The LAPACK for clusters project: an example of self adapting numerical software
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I/O efficient QR and QZ algorithms
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Communication Optimal Least Squares Solver
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Adapting communication-avoiding LU and QR factorizations to multicore architectures
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Automatic parallelization of recursive procedures
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Parallel Two-Sided Matrix Reduction to Band Bidiagonal Form on Multicore Architectures
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MIQR: A Multilevel Incomplete QR Preconditioner for Large Sparse Least‐Squares Problems
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Communication-optimal Parallel and Sequential QR and LU Factorizations
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Minimizing Communication in Numerical Linear Algebra
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Recursive Blocked Algorithms and Hybrid Data Structures for Dense Matrix Library Software
inferred← citeshttps://doi.org/10.1145/1055531.1055534openalex-snapshot
Parallel out-of-core computation and updating of the QR factorization
inferred← citeshttps://doi.org/10.1145/2395116.2395121openalex-snapshot
Graph expansion and communication costs of fast matrix multiplication
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Communication efficient gaussian elimination with partial pivoting using a shape morphing data layout
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A Communication-Avoiding Parallel Algorithm for the Symmetric Eigenvalue Problem
inferred← citeshttps://doi.org/10.1147/rd.444.0605openalex-snapshot
Applying recursion to serial and parallel QR factorization leads to better performance
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QR Factorization for the Cell Broadband Engine
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Scheduling Two-Sided Transformations Using Tile Algorithms on Multicore Architectures
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Parallel Proper-Orthogonal/Dynamic-Mode Decompositions of Large Flowfields
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Communication-optimal parallel and sequential QR and LU factorizations: theory and practice
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Implementing Communication-Optimal Parallel and Sequential QR Factorizations
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Automatic parallelization of recursive procedures
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Application-based fault tolerance for numerical linear algebra at large scale
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