In this example, you start with a slow
and you speed up the calculation using a
parfor splits the execution of
iterations over the workers in a parallel pool.
This example calculates
the spectral radius of a matrix and converts a
parfor-loop. Find out how to measure the
In the MATLAB® Editor, enter the following
toc to measure the
tic n = 200; A = 500; a = zeros(n); for i = 1:n a(i) = max(abs(eig(rand(A)))); end toc
Run the script, and note the elapsed time.
Elapsed time is 31.935373 seconds.
In the script, replace the
for-loop with a
tic n = 200; A = 500; a = zeros(n); parfor i = 1:n a(i) = max(abs(eig(rand(A)))); end toc
Run the new script, and run it again. Note that the first run is slower than the second run, because the parallel pool takes some time to start and make the code available to the workers. Note the elapsed time for the second run.
By default, MATLAB automatically opens a parallel pool of workers on your local machine.
Starting parallel pool (parpool) using the 'local' profile ... connected to 4 workers. ... Elapsed time is 10.760068 seconds.
parforrun on four workers is about three times faster than the corresponding
for-loop run. The speed-up is smaller than the ideal speed-up of a factor of four on four workers. This is due to parallel overhead, including the time required to transfer data from the client to the workers and back. This example shows a good speed-up with relatively small parallel overhead, and benefits from conversion into a
parfor-loop. Not all
for-loop iterations can be turned into faster
parfor-loops. To learn more, see Decide When to Use parfor.
One key requirement for using
is that the individual iterations must be independent. Independent
problems suitable for
parfor processing include
Monte Carlo simulations and parameter sweeps. For next steps, see Convert for-Loops Into parfor-Loops.
In this example, you managed to speed up the calculation by
for-loop into a
on four workers. You might reduce the elapsed time further by increasing
the number of workers in your parallel pool, see Scale Up parfor-Loops to Cluster and Cloud.
You can modify your cluster profiles to control how many workers run your loops, and whether the workers are local or on a cluster. For more information on profiles, see Discover Clusters and Use Cluster Profiles.
Modify your parallel preferences to control whether a parallel pool is created automatically, and how long it remains available before timing out. For more information on preferences, see Specify Your Parallel Preferences.
You can run Simulink® models in parallel with the
instead of using
parfor-loops. For more information
and examples of using Simulink in parallel, see Running Multiple Simulations (Simulink).