Search Results - "Ida, Akihiro"
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Distributed-memory lattice H -matrix factorization
Published in The international journal of high performance computing applications (01-09-2019)“…We parallelize the LU factorization of a hierarchical low-rank matrix ( H -matrix) on a distributed-memory computer. This is much more difficult than the H…”
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Lattice H-Matrices for Massively Parallel Micromagnetic Simulations of Current-Induced Domain Wall Motion
Published in IEEE transactions on magnetics (01-04-2020)“…This article discusses parallel hierarchical-matrices (H-matrices) to compute a demagnetizing field, which is the most time-consuming part in the micromagnetic…”
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Optimizations of H-matrix-vector Multiplication for Modern Multi-core Processors
Published in 2022 IEEE International Conference on Cluster Computing (CLUSTER) (01-09-2022)“…Hierarchical matrices (H-matrices) can robustly approximate the dense matrices that appear in the boundary element method (BEM). To accelerate the solving of…”
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Conference Proceeding -
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Application of Improved H-Matrices in Micromagnetic Simulations of Spin Torque Oscillator
Published in IEEE transactions on magnetics (01-03-2018)“…This paper examines the applicability of hierarchical-matrices (H-matrices) to a computation of the demagnetizing field, which is the most time-consuming part…”
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Algebraic Partition Construction Method for Hierarchical Matrices
Published in IEEE transactions on magnetics (01-03-2024)“…A hierarchical matrix (H-matrix) is an approximated form of a dense matrix, which is derived from an integral equation with a degenerate kernel. An H-matrix is…”
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Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects
Published in Japan journal of industrial and applied mathematics (01-07-2019)“…We first briefly report on the status and recent achievements of the ELPA-AEO (Eigen value Solvers for Petaflop Applications—Algorithmic Extensions and…”
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Large-scale earthquake sequence simulations on 3-D non-planar faults using the boundary element method accelerated by lattice H-matrices
Published in Geophysical journal international (09-11-2023)“…SUMMARY Large-scale earthquake sequence simulations using the boundary element method (BEM) incur extreme computational costs through multiplying a dense…”
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Journal Article -
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Optimization of Numerous Small Dense-Matrix-Vector Multiplications in H-Matrix Arithmetic on GPU
Published in 2019 IEEE 13th International Symposium on Embedded Multicore/Many-core Systems-on-Chip (MCSoC) (01-10-2019)“…Dense-matrix-vector multiplication is one of the well-known important matrix calculations. This calculation is provided a general matrix-vector multiplication…”
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Conference Proceeding -
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Hierarchical Parallelization of Multi-coloring Algorithms for Block IC Preconditioners
Published in 2017 IEEE 19th International Conference on High Performance Computing and Communications; IEEE 15th International Conference on Smart City; IEEE 3rd International Conference on Data Science and Systems (HPCC/SmartCity/DSS) (01-12-2017)“…The block incomplete Cholesky(BIC) is one of the most useful preconditioners for the conjugate gradient(CG) method. Coloring algorithms are often used for…”
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Performance of Hierarchical-matrix BiCGStab Solver on GPU Clusters
Published in 2018 IEEE International Parallel and Distributed Processing Symposium (IPDPS) (01-05-2018)“…HACApK is a software package for solving dense linear systems of equations and is used in other software packages, like ppohBEM for solving boundary integral…”
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11
Variable Preconditioning of Krylov Subspace Methods for Hierarchical Matrices With Adaptive Cross Approximation
Published in IEEE transactions on magnetics (01-03-2016)“…This paper discusses Krylov subspace methods to solve a linear system whose coefficient matrix is represented by a hierarchical matrix. We propose a…”
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12
A New Fill-in Strategy for IC Factorization Preconditioning Considering SIMD Instructions
Published in 2015 IEEE Trustcom/BigDataSE/ISPA (01-08-2015)“…Most of current processors are equipped with single instruction multiple data (SIMD) instructions that are used to increase the performance of application…”
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Influence of numerical integration on convergence of eigenvalues in magnetohydrodynamics stability analysis
Published in Journal of the Physical Society of Japan (2000)“…When the eigenvalue problem of the linearized magnetohydrodynamics equation is solved by finite-element methods, whether energy integrals are exactly carried…”
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14
Application of Hierarchical Matrices to Large-Scale Electromagnetic Field Analyses of Coils Wound With Coated Conductors
Published in IEEE transactions on applied superconductivity (01-04-2018)“…Because the coefficient matrix is dense in the electromagnetic-field-analysis models of coated conductors using current vector potentials, the analyses of…”
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Load-Balancing-Aware Parallel Algorithms of H-Matrices with Adaptive Cross Approximation for GPUs
Published in 2018 IEEE International Conference on Cluster Computing (CLUSTER) (01-09-2018)“…Hierarchical matrices (H-matrices) are an approximation technique for dense matrices, such as the coefficient matrix of the boundary element method (BEM). An…”
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Conference Proceeding -
16
Lattice H-Matrices on Distributed-Memory Systems
Published in 2018 IEEE International Parallel and Distributed Processing Symposium (IPDPS) (01-05-2018)“…Low-rank approximation methods, such as hierarchical (H) matrices and block low-rank (BLR) matrices, can approximate dense matrices that come from scientific…”
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17
Accelerating Coil Path Optimization via Truncated Singular Value Decomposition Coupled with Adaptive Cross-Approximation
Published in 2024 IEEE 21st Biennial Conference on Electromagnetic Field Computation (CEFC) (02-06-2024)“…In this study, we demonstrate improved speed in coil path optimization through the implementation of truncated singular value decomposition augmented with…”
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Construction of Hierarchical Matrix on Distributed Memory Systems using a Task Parallel Language
Published in 2022 Tenth International Symposium on Computing and Networking Workshops (CANDARW) (01-11-2022)“…A hierarchical matrix is an approximated form of the dense matrix that represents the N-by-N correlations of N objects. The construction of the hierarchical…”
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Conference Proceeding -
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Large-scale earthquake sequence simulations on 3D nonplanar faults using the boundary element method accelerated by lattice H-matrices
Published 20-06-2022“…Large-scale earthquake sequence simulations using the boundary element method (BEM) incur extreme computational costs through multiplying a dense matrix with a…”
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Journal Article -
20
Evaluation of Programming Models to Address Load Imbalance on Distributed Multi-Core CPUs: A Case Study with Block Low-Rank Factorization
Published in 2019 IEEE/ACM Parallel Applications Workshop, Alternatives To MPI (PAW-ATM) (01-11-2019)“…To minimize data movement, many parallel ap- plications statically distribute computational tasks among the processes. However, modern simulations often…”
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