Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Performance evaluation of multiple precision matrix multiplications
  using parallelized Strassen and Winograd algorithms   It is well known that Strassen and Winograd algorithms can reduce the
computational costs associated with dense matrix multiplication. We have
already shown that they are also very effective for software-based multiple
precision floating-point arithmetic environments such as the MPFR/GMP library.
In this paper, we show that we can obtain the same effectiveness for
double-double (DD) and quadruple-double (QD) environments supported by the QD
library, and that parallelization can increase the speed of these multiple
precision matrix multiplications. Finally, we demonstrate that our implemented
parallelized Strassen and Winograd algorithms can increase the speed of
parallelized LU decomposition.

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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org