Re: Fast matrices comparison

• To: mathgroup at smc.vnet.net
• Subject: [mg115911] Re: Fast matrices comparison
• From: Oliver Ruebenkoenig <ruebenko at wolfram.com>
• Date: Tue, 25 Jan 2011 06:30:39 -0500 (EST)

```On Tue, 25 Jan 2011, JJ wrote:

> Hi MathGroup
>
> I have to compare two big matrices (in the SparseArray form), say m1 and m2.
> I need that the elements of m1 will be replaced by 0 if they are less or
> equal to
> the corresponding elements of m2.
>
> For example, if m1={{8,7},{3,9}} and m2={{2,3},{4,5}},
> I would like to have m1={{8,7},{0,9}} because m1[[2,1]]<m2[[2,1]].
>
> I can do it easily with two nested for loops but I think it is not an
> efficient way to do it.
> I was wondering if somebody knows how to do it using a fast conditional
> replacement rule and/or pure functions.
>
> Thank you.
>
>
>

JJ,

m1 = {{8, 7}, {3, 9}};
m2 = {{2, 3}, {4, 5}};
sm1 = SparseArray[m1];
sm2 = SparseArray[m2];
v1 = sm1["NonzeroValues"];
v2 = sm2["NonzeroValues"];
SparseArray[sm1["NonzeroPositions"] -> v1*UnitStep[v1 - v2 - 1]];

Oliver

```

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