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Merge branch '2019' into 2019
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JazzTap authored May 19, 2019
2 parents dc3855f + cc7e89a commit 7eabc29
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13 changes: 13 additions & 0 deletions papers/jan_verschelde/phcpy.rst
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Expand Up @@ -314,6 +314,16 @@ The 42.41 and 44.35 in Table :ref:`perfcyc7parallel` are similar enough
to state that with 32 instead of 8 tasks we doubled the precision from
double double to quad double precision in about the same time.

The data in Table :ref:`perfcyc7parallel` is
visualized in Fig. :ref:`figqualityup`.

.. figure:: ./figqualityup.png
:align: center
:height: 400 px
:figclass: h

Interpolated elapsed performances. :label:`figqualityup`

Precision is a crude measure of quality.
Another motivation for quality up by parallelism is to compensate
for the cost overhead caused by arithmetic with power series.
Expand Down Expand Up @@ -360,6 +370,9 @@ The output of the script is
number of factors : 16
number of isolated solutions : 1152

This numerical output is the essence of the blackbox solver
for positive dimensional solution sets [Ver18]_.

Survey of Applications
======================

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