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Hierarchical Matrix Operations 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.3874openalex-snapshot
Performance optimization of Sparse Matrix‐Vector Multiplication for multi‐component PDE‐based applications using GPUs
inferredcites →https://doi.org/10.1002/nla.691openalex-snapshot
Fast algorithms for hierarchically semiseparable matrices
inferredcites →https://doi.org/10.1007/978-3-319-06548-9_1openalex-snapshot
Accelerating Numerical Dense Linear Algebra Calculations with GPUs
inferredcites →https://doi.org/10.1007/978-3-319-46079-6_34openalex-snapshot
GPU-STREAM v2.0: Benchmarking the Achievable Memory Bandwidth of Many-Core Processors Across Diverse Parallel Programming Models
inferredcites →https://doi.org/10.1007/978-3-319-49887-4_3openalex-snapshot
Matrices with Hierarchical Low-Rank Structures
inferredcites →https://doi.org/10.1007/978-3-662-47324-5openalex-snapshot
Hierarchical Matrices: Algorithms and Analysis
inferredcites →https://doi.org/10.1007/s00211-004-0564-3openalex-snapshot
Approximation of Integral Operators by Variable-Order Interpolation
inferredcites →https://doi.org/10.1007/s00211-009-0218-6openalex-snapshot
Domain decomposition based $${\mathcal H}$$ -LU preconditioning
inferredcites →https://doi.org/10.1007/s00211-009-0278-7openalex-snapshot
Approximation of solution operators of elliptic partial differential equations by $${\mathcal{H}}$$ - and $${\mathcal{H}^2}$$ -matrices
inferredcites →https://doi.org/10.1007/s00607-002-1470-0openalex-snapshot
Solution of Large Scale Algebraic Matrix Riccati Equations by Use of Hierarchical Matrices
inferredcites →https://doi.org/10.1007/s00607-003-0019-1openalex-snapshot
Construction and Arithmetics of H -Matrices
inferredcites →https://doi.org/10.1007/s00607-004-0080-4openalex-snapshot
Hierarchical Matrices Based on a Weak Admissibility Criterion
inferredcites →https://doi.org/10.1007/s00607-004-0106-yopenalex-snapshot
Approximation of Integral Operators by -Matrices with Adaptive Bases
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/s00791-014-0226-7openalex-snapshot
$${{\fancyscript{H}}} $$ H -LU factorization on many-core systems
inferredcites →https://doi.org/10.1007/s10915-013-9714-zopenalex-snapshot
An $$\mathcal O (N \log N)$$ O ( N log N ) Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices
inferredcites →https://doi.org/10.1007/s11464-012-0188-3openalex-snapshot
A direct solver with O(N) complexity for integral equations on one-dimensional domains
inferredcites →https://doi.org/10.1016/j.jcp.2013.02.019openalex-snapshot
A direct solver for variable coefficient elliptic PDEs discretized via a composite spectral collocation method
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/10.1109/tpami.2015.2448083openalex-snapshot
Fast Direct Methods for Gaussian Processes
inferredcites →https://doi.org/10.1137/110838844openalex-snapshot
Exposing Fine-Grained Parallelism in Algebraic Multigrid Methods
inferredcites →https://doi.org/10.1145/1654059.1654078openalex-snapshot
Implementing sparse matrix-vector multiplication on throughput-oriented processors
inferredcites →https://doi.org/10.1145/2716282.2716288openalex-snapshot
Optimization for performance and energy for batched matrix computations on GPUs
inferredcites →https://doi.org/10.1145/3017994openalex-snapshot
Sparse Matrix-Vector Multiplication on GPGPUs
inferredcites →https://doi.org/10.14529/jsfi140104openalex-snapshot
Communication Complexity of the Fast Multipole Method and its Algebraic Variants
inferredcites →https://doi.org/10.4171/091openalex-snapshot
Efficient Numerical Methods for Non-local Operators
inferredcites →https://doi.org/10.48550/arxiv.1708.09707openalex-snapshot
Algorithmic patterns for $\mathcal{H}$-matrices on many-core processors
inferredcites →https://doi.org/10.5555/3014904.3014982openalex-snapshot
Merge-based parallel sparse matrix-vector multiplication
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/s10444-022-09942-6openalex-snapshot
H2Opus: a distributed-memory multi-GPU software package for non-local operators
inferred← citeshttps://doi.org/10.1007/s10915-023-02318-yopenalex-snapshot
Finite Element Discretizations for Variable-Order Fractional Diffusion Problems
inferred← citeshttps://doi.org/10.1007/s11222-020-09978-yopenalex-snapshot
Exploiting low-rank covariance structures for computing high-dimensional normal and Student-t probabilities
inferred← citeshttps://doi.org/10.1007/s11227-020-03400-0openalex-snapshot
SMOaaS: a Scalable Matrix Operation as a Service model in Cloud
inferred← citeshttps://doi.org/10.1007/s41365-025-01838-6openalex-snapshot
GPU-accelerated Monte Carlo method for dose calculation of mesh-type computational phantoms
inferred← citeshttps://doi.org/10.1007/s42967-021-00184-9openalex-snapshot
Space-Fractional Diffusion with Variable Order and Diffusivity: Discretization and Direct Solution Strategies
inferred← citeshttps://doi.org/10.1016/j.camwa.2021.01.003openalex-snapshot
KSPHPDDM and PCHPDDM: Extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners
inferred← citeshttps://doi.org/10.1016/j.camwa.2026.07.021openalex-snapshot
A scalable solver for a class of variable-order fractional diffusion problems
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113191openalex-snapshot
Hierarchical matrix approximations for space-fractional diffusion equations
inferred← citeshttps://doi.org/10.1016/j.cpc.2021.108017openalex-snapshot
A GPU-accelerated fast multipole method based on barycentric Lagrange interpolation and dual tree traversal
inferred← citeshttps://doi.org/10.1016/j.future.2026.108739openalex-snapshot
Ray tracing cores for general-purpose computing: A literature review
inferred← citeshttps://doi.org/10.1016/j.jcp.2022.111562openalex-snapshot
A parallel low-rank solver for the six-dimensional Vlasov–Maxwell equations
inferred← citeshttps://doi.org/10.1088/1361-6498/ae0651openalex-snapshot
Neudep: a GPU-based Monte Carlo transport program, coupling full physical reaction models of neutrons, photons, electrons/positrons
inferred← citeshttps://doi.org/10.1093/imanum/drag030openalex-snapshot
Linear complexity 𝒽2 direct solver for fine-grained parallel architectures
inferred← citeshttps://doi.org/10.1098/rsta.2019.0055openalex-snapshot
Hierarchical algorithms on hierarchical architectures
inferred← citeshttps://doi.org/10.1109/tpds.2021.3084071openalex-snapshot
Accelerating Geostatistical Modeling and Prediction With Mixed-Precision Computations: A High-Productivity Approach With PaRSEC
inferred← citeshttps://doi.org/10.1109/trs.2025.3644219openalex-snapshot
Active 2-D DOAs and Reflection Coefficient Estimation Using Special Partitioning and Nystrom via Massive MIMO Radar
inferred← citeshttps://doi.org/10.1137/18m1210101openalex-snapshot
Randomized GPU Algorithms for the Construction of Hierarchical Matrices from Matrix-Vector Operations
inferred← citeshttps://doi.org/10.1137/19m1270367openalex-snapshot
Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs
inferred← citeshttps://doi.org/10.1137/20m1318808openalex-snapshot
SemiAutomatic Task Graph Construction for $\mathcal{H}$-Matrix Arithmetic
inferred← citeshttps://doi.org/10.1137/24m171944xopenalex-snapshot
\({\mathcal{H}^{2}}\)-MG: A Multigrid Method for Hierarchical Rank Structured Matrices
inferred← citeshttps://doi.org/10.48550/arxiv.2108.11932openalex-snapshot
H2OPUS-TLR: High Performance Tile Low Rank Symmetric Factorizations using Adaptive Randomized Approximation
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