How to obtain element-wise squaring of vector/matrix?

How to obtain element-wise squaring of vector/matrix? - Printable Version

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How to obtain element-wise squaring of vector/matrix? - mbeddo - 11-26-2019 07:40 PM

I'm implementing a non-linear fitting routine and [/code]I need to square the elements of a vector from within a program. From the CAS screen I can easily square the elements of a vector [1, 2, 3, 4]:
[attachment=7858]

The simple program below has a syntax error:

Code:

EXPORT DEMO()

BEGIN

  LOCAL myvec;

  myvec := [1, 2, 3, 4];

  apply(x→x^2, myvec);

END;

I don't know what I'm doing wrong.

I looked for a function that would square element-wise, and "apply" seemed to fit the bill. I'm trying to avoid a FOR loop.

I think it would be easier if I just squared a list of numbers, then converted the answer to a vector?

RE: How to obtain element-wise squaring of vector/matrix? - swagner53 - 11-26-2019 08:47 PM

Hi,

apply is a CAS command that does not work under Home. Try converting to a CAS program by sandwiching your code between #cas and #end. Hopefully, that will work.

Take care & good luck, Steve

RE: How to obtain element-wise squaring of vector/matrix? - goetz - 11-26-2019 11:18 PM

Alternatively you could also use the "point" operator .^ for element wise power operator on a vector or matrix , e.g.:

Code:

[1, 2, 3, 4].^2

resulting in: [1, 4, 9, 16]

RE: How to obtain element-wise squaring of vector/matrix? - mbeddo - 11-27-2019 07:16 AM

(11-26-2019 08:47 PM)swagner53 Wrote: Hi,

apply is a CAS command that does not work under Home. Try converting to a CAS program by sandwiching your code between #cas and #end. Hopefully, that will work.

Take care & good luck, Steve

I found this works:

Code:

#cas

DEMO2():=

BEGIN

  apply(x→x^2, [1, 2, 3, 4]);

END;

#end

Thanks!

RE: How to obtain element-wise squaring of vector/matrix? - mbeddo - 11-27-2019 07:20 AM

(11-26-2019 11:18 PM)goetz Wrote: Alternatively you could also use the "point" operator .^ for element wise power operator on a vector or matrix , e.g.:

Code:

[1, 2, 3, 4].^2

resulting in: [1, 4, 9, 16]

Fantastic!

It seems I still have a ways to go digesting the reference manual - these point operators didn't register while searching for element-wise operators. Guess I have a ways to go to learn how to search the documents.