What kind of license/copyright is this? Can I use this in a GPLv3 licensed project? [closed]

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I intent to release my code under the GPLv3 license. No problem to do this, until I came upon a 3rd party file. Their owners have the following statement in it (and no other statement regarding copyrights/licensing)

Copyright (c) B.J. Frey & D. Dueck (2006). This software may be
freely used and distributed for non-commercial purposes.

The file can be retrieved from http://www.psi.toronto.edu/affinitypropagation/software/apcluster.m

I haven't modified it and it is only a small (but vital) part of my project. Can I proceed to apply the GPLv3 license to it? What kind of license does this file have?

Answer 1

Can I proceed to apply the GPLv3 license to it?

No. The GPLv3 forbids any usage restrictions, this license has a usage restriction. Whichever way you try to resolve this conflict, you will violate one of the two licenses.

What kind of license does this file have?

Its license is:

This software may be freely used and distributed for non-commercial purposes.