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Communication-Avoiding Parallel Algorithms for Solving Triangular Systems of Linear Equations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/cpe.1206openalex-snapshot
Collective communication: theory, practice, and experience
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/pl00008264openalex-snapshot
Memory-Efficient Matrix Multiplication in the BSP Model
inferredcites →https://doi.org/10.1016/0167-8191(89)90091-4openalex-snapshot
Communication efficient matrix multiplication on hypercubes
inferredcites →https://doi.org/10.1016/0167-8191(93)90029-kopenalex-snapshot
Minimizing the communication time for matrix multiplication on multiprocessors
inferredcites →https://doi.org/10.1016/0304-3975(90)90188-nopenalex-snapshot
Communication complexity of PRAMs
inferredcites →https://doi.org/10.1016/j.jpdc.2007.12.001openalex-snapshot
Optimal broadcast for fully connected processor-node networks
inferredcites →https://doi.org/10.1016/s0129-6264(02)00084-7openalex-snapshot
TRADING REPLICATION FOR COMMUNICATION IN PARALLEL DISTRIBUTED-MEMORY DENSE SOLVERS
inferredcites →https://doi.org/10.1023/a:1013588221172openalex-snapshot
Bulk-Synchronous Parallel Gaussian Elimination
inferredcites →https://doi.org/10.1093/imanum/12.1.1openalex-snapshot
Stability of Methods for Matrix Inversion
inferredcites →https://doi.org/10.1109/71.642949openalex-snapshot
Efficient algorithms for all-to-all communications in multiport message-passing systems
inferredcites →https://doi.org/10.1109/ipdps.2013.80openalex-snapshot
Communication-Optimal Parallel Recursive Rectangular Matrix Multiplication
inferredcites →https://doi.org/10.1109/ipdpsw.2010.5470941openalex-snapshot
Dense linear algebra solvers for multicore with GPU accelerators
inferredcites →https://doi.org/10.1137/0909037openalex-snapshot
Parallel Solution of Triangular Systems on Distributed-Memory Multiprocessors
inferredcites →https://doi.org/10.1137/1017068openalex-snapshot
Society for Industrial and Applied Mathematics
inferredcites →https://doi.org/10.1137/s0036144503428693openalex-snapshot
Recursive Blocked Algorithms and Hybrid Data Structures for Dense Matrix Library Software
inferredcites →https://doi.org/10.1142/s0129626498000067openalex-snapshot
Efficient Parallel Sparse Triangular Solution Using Selective Inversion
inferredcites →https://doi.org/10.1145/2612669.2612671openalex-snapshot
Tradeoffs between synchronization, communication, and computation in parallel linear algebra computations
inferredcites →https://doi.org/10.1147/rd.395.0575openalex-snapshot
A three-dimensional approach to parallel matrix multiplication
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/10.1177/1094342005051521openalex-snapshot
Optimization of Collective Communication Operations in MPICH
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1016/j.procs.2024.09.262openalex-snapshot
Solving Linear Systems with Unit Triangular Matrices on Multicore and Multi-CPU Shared-Memory Architectures
inferred← citeshttps://doi.org/10.1051/ro/2021009openalex-snapshot
Design, analysis and performance evaluation of parallel algorithms for solving triangular linear systems on multicore platforms
inferred← citeshttps://doi.org/10.1109/cloudtech49835.2020.9365898openalex-snapshot
High-performance computing under availability constraints to solve dense triangular system
inferred← citeshttps://doi.org/10.1109/ipdps.2019.00020openalex-snapshot
Communication-Avoiding Cholesky-QR2 for Rectangular Matrices
inferred← citeshttps://doi.org/10.1145/3210377.3210415openalex-snapshot
A 3D Parallel Algorithm for QR Decomposition
inferred← citeshttps://doi.org/10.1145/3330345.3330357openalex-snapshot
A communication-avoiding 3D sparse triangular solver
inferred← citeshttps://doi.org/10.1145/3404397.3404413openalex-snapshot
Efficient Block Algorithms for Parallel Sparse Triangular Solve
inferred← citeshttps://doi.org/10.1145/3524453openalex-snapshot
A Unified Programmable Edge Matrix Processor for Deep Neural Networks and Matrix Algebra
inferred← citeshttps://doi.org/10.1145/3581784.3607092openalex-snapshot
Unified Communication Optimization Strategies for Sparse Triangular Solver on CPU and GPU Clusters
inferred← citeshttps://doi.org/10.1145/3763074openalex-snapshot
REPTILE: Performant Tiling of Recurrences
inferred← citeshttps://doi.org/10.48550/arxiv.1806.06140openalex-snapshot
Straggler-Resilient and Communication-Efficient Distributed Iterative Linear Solver
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