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Batched Triangular Dense Linear Algebra Kernels for Very Small Matrix Sizes on GPUs

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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.4187openalex-snapshot
A framework for dense triangular matrix kernels on various manycore architectures
inferredcites →https://doi.org/10.1007/11558958_3openalex-snapshot
Management of Deep Memory Hierarchies – Recursive Blocked Algorithms and Hybrid Data Structures for Dense Matrix Computations
inferredcites →https://doi.org/10.1007/3-540-70734-4_7openalex-snapshot
LAWRA Linear Algebra with Recursive Algorithms
inferredcites →https://doi.org/10.1007/978-0-387-09766-4_204openalex-snapshot
Mumps
inferredcites →https://doi.org/10.1007/978-3-319-20119-1_3openalex-snapshot
A Framework for Batched and GPU-Resident Factorization Algorithms Applied to Block Householder Transformations
inferredcites →https://doi.org/10.1007/978-3-319-41321-1_2openalex-snapshot
Performance, Design, and Autotuning of Batched GEMM for GPUs
inferredcites →https://doi.org/10.1007/978-3-319-43659-3_35openalex-snapshot
Redesigning Triangular Dense Matrix Computations on GPUs
inferredcites →https://doi.org/10.1007/978-3-319-43659-3_48openalex-snapshot
High-Performance Matrix-Matrix Multiplications of Very Small Matrices
inferredcites →https://doi.org/10.1007/978-3-319-58667-0_2openalex-snapshot
Tile Low Rank Cholesky Factorization for Climate/Weather Modeling Applications on Manycore Architectures
inferredcites →https://doi.org/10.1007/978-3-642-38718-0_10openalex-snapshot
Optimizing Memory-Bound SYMV Kernel on GPU Hardware Accelerators
inferredcites →https://doi.org/10.1007/978-3-642-40047-6_81openalex-snapshot
Power/Performance Trade-Offs of Small Batched LU Based Solvers on GPUs
inferredcites →https://doi.org/10.1007/pl00021408openalex-snapshot
A Sparse ℋ-Matrix Arithmetic.
inferredcites →https://doi.org/10.1007/s006070050015openalex-snapshot
A Sparse Matrix Arithmetic Based on $\Cal H$ -Matrices. Part I: Introduction to ${\Cal H}$ -Matrices
inferredcites →https://doi.org/10.1007/s10915-013-9805-xopenalex-snapshot
Exploiting Batch Processing on Streaming Architectures to Solve 2D Elliptic Finite Element Problems: A Hybridized Discontinuous Galerkin (HDG) Case Study
inferredcites →https://doi.org/10.1016/j.jocs.2016.12.009openalex-snapshot
Fast Cholesky factorization on GPUs for batch and native modes in MAGMA
inferredcites →https://doi.org/10.1016/j.parco.2017.09.001openalex-snapshot
Batched QR and SVD algorithms on GPUs with applications in hierarchical matrix compression
inferredcites →https://doi.org/10.1016/j.procs.2016.05.302openalex-snapshot
High-performance Tensor Contractions for GPUs
inferredcites →https://doi.org/10.1016/j.procs.2016.05.303openalex-snapshot
Performance Tuning and Optimization Techniques of Fixed and Variable Size Batched Cholesky Factorization on GPUs
inferredcites →https://doi.org/10.1016/s0167-8191(01)00141-7openalex-snapshot
PaStiX: a high-performance parallel direct solver for sparse symmetric positive definite systems
inferredcites →https://doi.org/10.1063/1.4772121openalex-snapshot
Level-3 BLAS on a GPU: Picking the low hanging fruit
inferredcites →https://doi.org/10.1109/hpcc.2014.30openalex-snapshot
LU Factorization of Small Matrices: Accelerating Batched DGETRF on the GPU
inferredcites →https://doi.org/10.1109/icpp.2014.52openalex-snapshot
A Fast Batched Cholesky Factorization on a GPU
inferredcites →https://doi.org/10.1109/ipdpsw.2016.190openalex-snapshot
On the Development of Variable Size Batched Computation for Heterogeneous Parallel Architectures
inferredcites →https://doi.org/10.1109/ispass.2014.6844463openalex-snapshot
Applying the roofline model
inferredcites →https://doi.org/10.1109/synasc.2014.70openalex-snapshot
Register Caching for Stencil Computations on GPUs
inferredcites →https://doi.org/10.1109/tpds.2015.2481890openalex-snapshot
Implementation and Tuning of Batched Cholesky Factorization and Solve for NVIDIA GPUs
inferredcites →https://doi.org/10.1137/1.9780898719604openalex-snapshot
LAPACK Users' Guide
inferredcites →https://doi.org/10.1137/15m1025785openalex-snapshot
PCBDDC: A Class of Robust Dual-Primal Methods in PETSc
inferredcites →https://doi.org/10.1137/s0036144503428693openalex-snapshot
Recursive Blocked Algorithms and Hybrid Data Structures for Dense Matrix Library Software
inferredcites →https://doi.org/10.1137/s1064827502412887openalex-snapshot
A Preconditioner for Substructuring Based on Constrained Energy Minimization
inferredcites →https://doi.org/10.1145/1377603.1377607openalex-snapshot
High-performance implementation of the level-3 BLAS
inferredcites →https://doi.org/10.1145/2688500.2688534openalex-snapshot
Towards batched linear solvers on accelerated hardware platforms
inferredcites →https://doi.org/10.1145/2716282.2716288openalex-snapshot
Optimization for performance and energy for batched matrix computations on GPUs
inferredcites →https://doi.org/10.1145/2818311openalex-snapshot
KBLAS
inferredcites →https://doi.org/10.1145/292395.292412openalex-snapshot
GEMM-based level 3 BLAS
inferredcites →https://doi.org/10.1145/3061664openalex-snapshot
Algorithm 979
inferredcites →https://doi.org/10.1145/42288.42291openalex-snapshot
An extended set of FORTRAN basic linear algebra subprograms
inferredcites →https://doi.org/10.1147/rd.444.0605openalex-snapshot
Applying recursion to serial and parallel QR factorization leads to better performance
inferredcites →https://doi.org/10.1177/1094342014567546openalex-snapshot
RETRACTED: Batched matrix computations on hardware accelerators based on GPUs
inferredcites →https://doi.org/10.14529/jsfi150405openalex-snapshot
Parallel Programming Models for Dense Linear Algebra on Heterogeneous Systems
inferredcites →https://doi.org/10.5555/333825.333827openalex-snapshot
A sparse H -matrix arithmetic. Part II

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-319-96983-1_57openalex-snapshot
Tile Low-Rank GEMM Using Batched Operations on GPUs
inferred← citeshttps://doi.org/10.1007/s00607-020-00827-4openalex-snapshot
GPU-based matrix-free finite element solver exploiting symmetry of elemental matrices
inferred← citeshttps://doi.org/10.1007/s10915-018-0809-4openalex-snapshot
Algorithmic Patterns for $$\mathcal {H}$$-Matrices on Many-Core Processors
inferred← citeshttps://doi.org/10.1007/s11227-021-03936-9openalex-snapshot
A high-performance batched matrix multiplication framework for GPUs under unbalanced input distribution
inferred← citeshttps://doi.org/10.1016/j.parco.2017.09.001openalex-snapshot
Batched QR and SVD algorithms on GPUs with applications in hierarchical matrix compression
inferred← citeshttps://doi.org/10.1016/j.parco.2022.102897openalex-snapshot
High performance sparse multifrontal solvers on modern GPUs
inferred← citeshttps://doi.org/10.1109/ccgrid.2019.00037openalex-snapshot
Batched Sparse Matrix Multiplication for Accelerating Graph Convolutional Networks
inferred← citeshttps://doi.org/10.1109/hpcc-dss-smartcity-dependsys57074.2022.00066openalex-snapshot
Batched LU Factorization With Fast Row Interchanges for Small Matrices on GPUs
inferred← citeshttps://doi.org/10.1109/iceitsa57468.2022.00065openalex-snapshot
Parallel Solution of Small and Medium Sized Linear Equations Based on GPU
inferred← citeshttps://doi.org/10.1109/pdp2018.2018.00065openalex-snapshot
Variable Batched DGEMM
inferred← citeshttps://doi.org/10.1137/21m1450112openalex-snapshot
Leveraging GPU Batching for Scalable Nonlinear Programming through Massive Lagrangian Decomposition
inferred← citeshttps://doi.org/10.1145/3472456.3473519openalex-snapshot
Efficiently Parallelizable Strassen-Based Multiplication of a Matrix by its Transpose
inferred← citeshttps://doi.org/10.1145/3577193.3593731openalex-snapshot
Using Additive Modifications in LU Factorization Instead of Pivoting
inferred← citeshttps://doi.org/10.1145/3595178openalex-snapshot
Cache Optimization and Performance Modeling of Batched, Small, and Rectangular Matrix Multiplication on Intel, AMD, and Fujitsu Processors
inferred← citeshttps://doi.org/10.1145/3774934.3786442openalex-snapshot
Trojan Horse: Aggregate-and-Batch for Scaling Up Sparse Direct Solvers on GPU Clusters
inferred← citeshttps://doi.org/10.14529/jsfi210201openalex-snapshot
Accelerating Seismic Redatuming Using Tile Low-Rank Approximations on NEC SX-Aurora TSUBASA
inferred← citeshttps://doi.org/10.48550/arxiv.1708.09707openalex-snapshot
Algorithmic patterns for $\mathcal{H}$-matrices on many-core processors
inferred← citeshttps://doi.org/10.48550/arxiv.2110.13042openalex-snapshot
Efficiently Parallelizable Strassen-Based Multiplication of a Matrix by its Transpose
inferred← citeshttps://doi.org/10.62227/as/74s213openalex-snapshot
Research on Experimental Hierarchical Design and Effect of Matlab-Oriented Linear Algebra
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