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Multifrontal Method

Task-based multifrontal QR solver for heterogeneous architectures

Task-based multifrontal QR solver for heterogeneous architectures

... StarPU-based multifrontal method this section, as well as in Chapter 4, have been run with an interleaved memory allocation policy which basically make the locality aware scheduling policy implemented in qr ...

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Task-based multifrontal QR solver for GPU-accelerated multicore architectures

Task-based multifrontal QR solver for GPU-accelerated multicore architectures

... In the original HeteroPrio scheduler [28], the worker selection is performed right before popping the task in a scheduling queue following the previously presented rules. If data associated to the task are not present on ...

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3D frequency-domain seismic modeling with a Block Low-Rank algebraic multifrontal direct solver

3D frequency-domain seismic modeling with a Block Low-Rank algebraic multifrontal direct solver

... INTRODUCTION Seismic modeling and FWI can be performed either in the time domain or in the frequency domain (e.g., Virieux and Operto, 2009). One distinct advantage of the frequency domain is to allow for a ...

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Large-scale 3D EM modeling with a Block Low-Rank multifrontal direct solver

Large-scale 3D EM modeling with a Block Low-Rank multifrontal direct solver

... (BLR) multifrontal direct solver to efficiently solve the linear systems of equations arising from a finite-difference discretization of the frequency-domain Maxwell equations for 3-D electromagnetic (EM) ...the ...

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Large-scale 3D EM modeling with a Block Low-Rank multifrontal direct solver

Large-scale 3D EM modeling with a Block Low-Rank multifrontal direct solver

... (BLR) multifrontal direct solver to efficiently solve the linear systems of equations arising from a finite-difference discretization of the frequency-domain Maxwell equations for 3-D electromagnetic (EM) ...the ...

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Modeling 1D distributed-memory dense kernels for an asynchronous multifrontal sparse solver

Modeling 1D distributed-memory dense kernels for an asynchronous multifrontal sparse solver

... GFlops rate master = f lops worker GFlops rate worker . Another issue is that in practice, the multifrontal method results in frontal matrices that often have an nfront npiv ratio larger than the ideal one, ...

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Exploiting a Parametrized Task Graph model for the parallelization of a sparse direct multifrontal solver

Exploiting a Parametrized Task Graph model for the parallelization of a sparse direct multifrontal solver

... 4.4 Discussion It must be noted that it is possible to execute some of the factorization tasks re- lated to a node before the handling of its child nodes is completed; this additional concurrency, which we refer to as ...

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3D frequency-domain seismic modeling with a Parallel BLR multifrontal direct solver

3D frequency-domain seismic modeling with a Parallel BLR multifrontal direct solver

... BLR multifrontal solver A BLR multifrontal solver consists in approximating the fronts with BLR ...the multifrontal method is then adapted to benefit from the compressions using low-rank ...

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Memory and performance issues in parallel multifrontal factorizations and triangular solutions with sparse right-hand sides

Memory and performance issues in parallel multifrontal factorizations and triangular solutions with sparse right-hand sides

... 7.2. Controlling the active memory with j max the index of the child node of i with the largest contribution block. For a given assembly scheme, the way the tree is traversed strongly influences the peak of active ...

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Introduction of shared-memory parallelism in a distributed-memory multifrontal solver

Introduction of shared-memory parallelism in a distributed-memory multifrontal solver

... In this study, we are interested in a parallel direct approach for the solution of sparse systems of linear equations of the form Ax = b, (1) where A is a sparse matrix, b is the right-hand side vector (or matrix) and x ...

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Improving multifrontal solvers by means of algebraic Block Low-Rank representations

Improving multifrontal solvers by means of algebraic Block Low-Rank representations

... In this dissertation, we focus on a particular case of direct methods which is based on Gaussian elimination and called the multifrontal method, although iterative methods will also be discussed. 1.2.1 ...

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Implementing multifrontal sparse solvers for multicore architectures with Sequential Task Flow runtime systems

Implementing multifrontal sparse solvers for multicore architectures with Sequential Task Flow runtime systems

... parallel multifrontal method, which allows the user to achieve the highest possible performance within a prescribed memory ...novel method which allows for a very accurate profiling of the ...

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Parallel triangular solution in the out-of-core multifrontal approach  for solving large sparse linear systems

Parallel triangular solution in the out-of-core multifrontal approach for solving large sparse linear systems

... the multifrontal method, we will comment on some of its main properties with respect to other ...the multifrontal method (although we describe in the next chapter), we refer the reader to [47, ...

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Robust memory-aware mappings for parallel multifrontal factorizations

Robust memory-aware mappings for parallel multifrontal factorizations

... AMS subject classifications. 05C50, 65F05, 65F50, 68W10 1. Introduction. We consider the memory scalability of sparse direct methods for the solution of linear systems on distributed-memory architectures. We focus on the ...

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Towards Method Component Contextualization

Towards Method Component Contextualization

... Keywords: Method engineering; Method component; ...universal method that could be applied to deal with any IS development project does not ...exist. Method engineering (ME) represents the ...

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A Discrete Radiosity Method

A Discrete Radiosity Method

... This method is based on a space voxelization, integer only arithmetic, and give promizing ...this method and a huge amount of work remains to be done, including, first the evaluation of the method as ...

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Visioscan-driven ULEV method.

Visioscan-driven ULEV method.

... With this procedure, the sebum output at the skin surface can be monitored live in real time. 2.8 Hair Graying The loss of melanin content in the hair shaft is a natural manifestation of aging leading to hair gray- ing. ...

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Another Co*cryption Method

Another Co*cryption Method

... which provides a sizable collection of data types and algorithms in a form which allows them to be used by non-experts. The difference with concryption is that we use a single pass compression algorithm while they ...

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Intelligent Agile Method Framework

Intelligent Agile Method Framework

... called Method engineering ...situational method engineer- ing (SME), which tends to support creation of meth- ods from method parts or tailoring existing methods to meet requirements of a specific ...

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Machining Method and Device

Machining Method and Device

... is an open access repository that collects the work of Arts et Métiers Institute of Technology researchers and makes it freely available over the web where possible.. This is an author-d[r] ...

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