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The Torus-Wrap Mapping for Dense Matrix Calculations on Massively Parallel Computers

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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-51305-1_19openalex-snapshot
The formal construction of a parallel triangular system solver
inferredcites →https://doi.org/10.1007/3-540-51604-2_5openalex-snapshot
Parallel LU decomposition on a transputer network
inferredcites →https://doi.org/10.1007/bf02915443openalex-snapshot
The formal development of a parallel program performing LU-decomposition
inferredcites →https://doi.org/10.1016/0024-3795(86)90172-2openalex-snapshot
Assignment and scheduling in parallel matrix factorization
inferredcites →https://doi.org/10.1016/0024-3795(86)90174-6openalex-snapshot
Communication complexity of the Gaussian elimination algorithm on multiprocessors
inferredcites →https://doi.org/10.1016/0167-8191(86)90004-9openalex-snapshot
Implementation of some concurrent algorithms for matrix factorization
inferredcites →https://doi.org/10.1016/0167-8191(88)90036-1openalex-snapshot
The ijk forms of factorization methods II. Parallel systems
inferredcites →https://doi.org/10.1016/0167-8191(88)90071-3openalex-snapshot
A parallel Householder tridiagonalization stratagem using scattered square decomposition
inferredcites →https://doi.org/10.1016/0167-8191(90)90156-4openalex-snapshot
Communication and matrix computations on large message passing systems
inferredcites →https://doi.org/10.1016/0743-7315(87)90002-5openalex-snapshot
Communication efficient basic linear algebra computations on hypercube architectures
inferredcites →https://doi.org/10.1016/0743-7315(91)90029-9openalex-snapshot
Modified Gram-Schmidt QR factorization on hypercube
inferredcites →https://doi.org/10.1109/12.29465openalex-snapshot
Optimum broadcasting and personalized communication in hypercubes
inferredcites →https://doi.org/10.1137/0909032openalex-snapshot
A Parallel Triangular Solver for a Distributed-Memory Multiprocessor
inferredcites →https://doi.org/10.1137/0909037openalex-snapshot
Parallel Solution of Triangular Systems on Distributed-Memory Multiprocessors
inferredcites →https://doi.org/10.1137/0909041openalex-snapshot
Development of Parallel Methods for a $1024$-Processor Hypercube
inferredcites →https://doi.org/10.1137/0909042openalex-snapshot
$LU$ Factorization Algorithms on Distributed-Memory Multiprocessor Architectures
inferredcites →https://doi.org/10.1137/0911057openalex-snapshot
QR Factorization of a Dense Matrix on a Hypercube Multiprocessor
inferredcites →https://doi.org/10.1137/0912041openalex-snapshot
Parallel Triangular System Solving on a Mesh Network of Transputers
inferredcites →https://doi.org/10.1137/0914075openalex-snapshot
Block-Cyclic Dense Linear Algebra
inferredcites →https://doi.org/10.1137/1.9781611971705openalex-snapshot
Parallel Algorithms for Matrix Computations
inferredcites →https://doi.org/10.1145/355841.355847openalex-snapshot
Basic Linear Algebra Subprograms for Fortran Usage
inferredcites →https://doi.org/10.1145/4021.4025openalex-snapshot
Data-flow algorithms for parallel matrix computation
inferredcites →https://doi.org/10.1145/77626.79170openalex-snapshot
A set of level 3 basic linear algebra subprograms
inferredcites →https://doi.org/10.2307/2153226openalex-snapshot
Solving Linear Systems on Vector and Shared Memory Computers.

What points at this work

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

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A new parallel method for molecular dynamics simulation of macromolecular systems
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A distributed packed storage for large dense parallel in‐core calculations
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Programming many‐core architectures ‐ a case study: dense matrix computations on the Intel single‐chip cloud computer processor
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Power usage of production supercomputers and production workloads
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Design and performance characterization of electronic structure calculations on massively parallel supercomputers: a case study of GPAW on the Blue Gene/P architecture
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A role for Pareto optimality in mining performance data
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Parallelization of a vorticity formulation for the analysis of incompressible viscous fluid flows
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A parallel boundary element formulation for determining effective properties of heterogeneous media
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Fast Parallel Algorithms for Short-Range Molecular Dynamics
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Heterogeneous Distribution of Computations Solving Linear Algebra Problems on Networks of Heterogeneous Computers
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Performance Evaluation of Parallel Gram-Schmidt Re-orthogonalization Methods
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Basic techniques for numerical linear algebra on bulk synchronous parallel computers
inferred← citeshttps://doi.org/10.1007/978-3-030-74224-9_5openalex-snapshot
ADELUS: A Performance-Portable Dense LU Solver for Distributed-Memory Hardware-Accelerated Systems
inferred← citeshttps://doi.org/10.1007/978-3-540-74466-5_79openalex-snapshot
Toward Scalable Matrix Multiply on Multithreaded Architectures
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Solution of large, sparse, irregular systems on a massively parallel computer
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Heterogeneous distribution of computations while solving linear algebra problems on networks of heterogeneous computers
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Improving the performance of I/O-intensive applications on clusters of workstations
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Cyclic block-algorithms for solving triangular systems on distributed-memory multiprocessors with mesh topology
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Boundary-element parallel-computing algorithm for the microstructural analysis of general composites
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An adaptive energy-conserving strategy for parallel disk systems
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Performance comparisons of load balancing algorithms for I/O-intensive workloads on clusters
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An efficient implementation of parallel eigenvalue computation for massively parallel processing
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Copyright Page
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Preface
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Introduction
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LU decomposition
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The fast Fourier transform
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