[Numpy-discussion] Quikest way to create a diagonal matrix ?
lorenzo bolla
lbolla@gmail....
Wed Mar 26 11:23:40 CDT 2008
I like obfuscating things! Maybe I should switch to perl :-)
you can use a one-liner like this:
scipy.linalg.triu(z) + scipy.linalg.triu(z,k=1).T
my %timeit gives roughly the same execution speed as your f(z):
In [79]: %timeit f(z)
10000 loops, best of 3: 79.3 us per loop
In [80]: %timeit h(z)
10000 loops, best of 3: 76.8 us per loop
L.
On Wed, Mar 26, 2008 at 4:21 PM, Joris De Ridder <
Joris.DeRidder@ster.kuleuven.be> wrote:
>
> On 26 Mar 2008, at 15:36, lorenzo bolla wrote:
>
> > numpy.tri
> >
> > In [31]: T = numpy.tri(m)
> >
> > In [32]: z.T * T + z * T.T
> > Out[32]:
> > array([[ 0., 1., 2., 3., 4.],
> > [ 1., 12., 7., 8., 9.],
> > [ 2., 7., 24., 13., 14.],
> > [ 3., 8., 13., 36., 19.],
> > [ 4., 9., 14., 19., 48.]])
>
>
> You still have to subtract the diagonal:
>
> def f(z):
> A = tri(z.shape[0], dtype = z.dtype)
> X = z.T * A + z * A.T
> X[range(A.shape[0]),range(A.shape[0])] -= z.diagonal()
> return X
>
>
> The suggestion of Alexandre seems to be about 4 times as fast, though.
>
> But I love the way you obfuscate things by having "T" for both the tri-
> matrix as the transpose method. :-)
> It get's even better with numpy matrices. Next year, my students will
> see something like
> I.H-T.H*T.I+I.I*H.I+T.T*H.H-H.I
> Refreshing! ;-)
>
> Cheers,
> Joris
>
>
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>
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--
Lorenzo Bolla
lbolla@gmail.com
http://lorenzobolla.emurse.com/
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