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We also propose two improvements to the StOMP algorithm by automating its choice of a threshold parameter and one linear algebra operation in order to alleviate decompression complications and obtain a systematic reasonable accuracy.
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High-level linear algebra operations require intensive computation.
The method relies on a set of basic linear algebra operations which determine the overall performance.
LAPACK, the Linear Algebra PACKage, is a standard collection of routines, built on BLAS, for more-complicated (dense) linear algebra operations like matrix inversion and diagonalization.
This operation is called a "transposition" and an efficient implementation can be quite helpful while performing more complicated linear algebra operations.
To reduce the costs related to the linear algebra operations, this linearly implicit method is combined with approximate matrix factorization.
A challenging class of problems arising in many GPU applications, called batched problems, involves linear algebra operations on many small-sized matrices.
Our method can exploit parallelism in both the individual convolutions and the linear algebra operations in the block Golub Kahan algorithm.
Matlab/GNU Octave code for the key steps of the algorithm is provided, which predominantly use basic linear algebra operations, with a full implementation being provided on github.
We analyse, evaluate and compare their respective performances for computing linear algebra operations and for solving large sparse linear systems with the conjugate gradient iterative method on multi-GPUs clusters.
The accelerator of each compute node is exploited in combination with multicore processors of that node in performing block-level linear algebra operations in the overall, distributed solver algorithm.
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