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Communication-Optimal Parallel Recursive Rectangular Matrix Multiplication

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What this work says

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

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SUMMA: scalable universal matrix multiplication algorithm
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Rectangular Matrix Multiplication Revisited
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Fast Rectangular Matrix Multiplication and Applications
inferredcites →https://doi.org/10.1007/978-3-642-14165-2_20openalex-snapshot
Resource Oblivious Sorting on Multicores
inferredcites →https://doi.org/10.1007/978-3-642-23397-5_10openalex-snapshot
Communication-Optimal Parallel 2.5D Matrix Multiplication and LU Factorization Algorithms
inferredcites →https://doi.org/10.1007/978-3-642-34862-4_2openalex-snapshot
Graph Expansion Analysis for Communication Costs of Fast Rectangular Matrix Multiplication
inferredcites →https://doi.org/10.1007/978-3-642-38718-0_21openalex-snapshot
Matrix Multiplication on Multidimensional Torus Networks
inferredcites →https://doi.org/10.1007/978-3-662-03338-8openalex-snapshot
Algebraic Complexity Theory
inferredcites →https://doi.org/10.1007/bf02165411openalex-snapshot
Gaussian elimination is not optimal
inferredcites →https://doi.org/10.1007/pl00008264openalex-snapshot
Memory-Efficient Matrix Multiplication in the BSP Model
inferredcites →https://doi.org/10.1016/0020-0190(79)90113-3openalex-snapshot
O(n2.7799) complexity for n × n approximate matrix multiplication
inferredcites →https://doi.org/10.1016/0167-8191(89)90091-4openalex-snapshot
Communication efficient matrix multiplication on hypercubes
inferredcites →https://doi.org/10.1016/0304-3975(83)90054-3openalex-snapshot
On the asymptotic complexity of rectangular matrix multiplication
inferredcites →https://doi.org/10.1016/j.jpdc.2004.03.021openalex-snapshot
Communication lower bounds for distributed-memory matrix multiplication
inferredcites →https://doi.org/10.1090/s0002-9904-1949-09320-5openalex-snapshot
An inequality related to the isoperimetric inequality
inferredcites →https://doi.org/10.1109/ipdps.2007.370243openalex-snapshot
Network-Oblivious Algorithms
inferredcites →https://doi.org/10.1109/ipdps.2010.5470354openalex-snapshot
Oblivious algorithms for multicores and network of processors
inferredcites →https://doi.org/10.1109/jproc.2004.840444openalex-snapshot
Is Search Really Necessary to Generate High-Performance BLAS?
inferredcites →https://doi.org/10.1109/sffcs.1999.814600openalex-snapshot
Cache-oblivious algorithms
inferredcites →https://doi.org/10.1137/0120004openalex-snapshot
On Minimizing the Number of Multiplications Necessary for Matrix Multiplication
inferredcites →https://doi.org/10.1137/0211037openalex-snapshot
Rapid Multiplication of Rectangular Matrices
inferredcites →https://doi.org/10.1137/090769156openalex-snapshot
Minimizing Communication in Numerical Linear Algebra
inferredcites →https://doi.org/10.1137/s0036144503428693openalex-snapshot
Recursive Blocked Algorithms and Hybrid Data Structures for Dense Matrix Library Software
inferredcites →https://doi.org/10.1145/1248377.1248394openalex-snapshot
An experimental comparison of cache-oblivious and cache-conscious programs
inferredcites →https://doi.org/10.1145/2063384.2063487openalex-snapshot
Improving communication performance in dense linear algebra via topology aware collectives
inferredcites →https://doi.org/10.1145/2312005.2312021openalex-snapshot
Brief announcement
inferredcites →https://doi.org/10.1145/2312005.2312044openalex-snapshot
Communication-optimal parallel algorithm for strassen's matrix multiplication
inferredcites →https://doi.org/10.1145/266670.266679openalex-snapshot
Fast rectangular matrix multiplications and improving parallel matrix computations
inferredcites →https://doi.org/10.1145/800076.802486openalex-snapshot
I/O complexity
inferredcites →https://doi.org/10.1147/rd.395.0575openalex-snapshot
A three-dimensional approach to parallel matrix multiplication
inferredcites →https://doi.org/10.1177/109434200001400303openalex-snapshot
A Portable Programming Interface for Performance Evaluation on Modern Processors
inferredcites →https://doi.org/10.5555/2388996.2389133openalex-snapshot
Communication-avoiding parallel strassen: implementation and performance

What points at this work

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

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Communication lower-bounds for distributed-memory computations for mass spectrometry based omics data
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Massively Parallel Implementation of Explicitly Correlated Coupled-Cluster Singles and Doubles Using TiledArray Framework
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Distributed Matrix Multiplication Performance Estimator for Machine Learning Jobs in Cloud Computing
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Leveraging Task-Based Polar Decomposition Using PARSEC on Massively Parallel Systems
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Uncut-GEMMs: Communication-Aware Matrix Multiplication on Multi-GPU Nodes
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Unified Programming Model and Software Framework for Big Data Machine Learning and Data Analytics
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Communication-Avoiding Parallel Algorithms for Solving Triangular Systems of Linear Equations
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Towards Highly scalable Ab Initio Molecular Dynamics (AIMD) Simulations on the Intel Knights Landing Manycore Processor
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Communication Lower Bounds for Matricized Tensor Times Khatri-Rao Product
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Multilevel Approaches to Fine Tune Performance of Linear Algebra Libraries
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Distributed Training of Deep Neural Networks: Theoretical and Practical Limits of Parallel Scalability
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Poster: Beating MKL and ScaLAPACK at Rectangular Matrix Multiplication Using the BFS/DFS Approach
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