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From: Robin Vowels <robin.vowels@gmail.com>
Newsgroups: comp.lang.ada,comp.lang.pl1
Subject: Re: Does Ada need elemental functions to make it suitable for
	scientific work?
Date: Sun, 29 Jul 2012 17:49:57 -0700 (PDT)
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Date: 2012-07-29T17:49:57-07:00
List-Id: <comp.lang.ada>

On Jul 30, 12:22=A0am, "Dmitry A. Kazakov" <mail...@dmitry-kazakov.de>
wrote:
> On Sun, 29 Jul 2012 06:39:58 -0700 (PDT), Robin Vowels wrote:
> > On Jul 12, 5:12=A0pm, "Dmitry A. Kazakov" <mail...@dmitry-kazakov.de>
> > wrote:
> >> On Wed, 11 Jul 2012 17:31:33 -0700 (PDT), rrrr...@gmail.com wrote:
> >>>> It is ill-defined. E.g. exp(A), where A is a matrix. Is exp(A) a mat=
rix of
> >>>> exponents or exponent matrix?
>
> >>> In languages that provide whole array operations (i.e.,
> >>> element-by-element operations -- such as PL/I and Fortran),
> >>> it is the former.
>
> >>> BTW., I think you mean matrix exponential, which is a far
> >>> less common operation than exp(A) or e**A(i) for i =3D 1 to n,
>
> >> In linear algebra, provided matrices mean matrices, per-element operat=
ion
> >> just does not make any sense.
>
> > Element-by-element operations are required routinely in numerical
> > work.
>
> I wrote specifically about matrices as known in linear algebra.
>
> > PL/I defined multiplication for matrices as an element-by-element
> > product, as I said before.
>
> Sorry for PL/1!

Nothing to be sorry about.
Trivial to use from the PL/I library or to write.

Term-by-term multiplication is the more often used
(along with term-by-term add, subtract, and divide).