From mboxrd@z Thu Jan 1 00:00:00 1970 X-Spam-Checker-Version: SpamAssassin 3.4.4 (2020-01-24) on polar.synack.me X-Spam-Level: X-Spam-Status: No, score=-0.3 required=5.0 tests=BAYES_00, REPLYTO_WITHOUT_TO_CC autolearn=no autolearn_force=no version=3.4.4 X-Google-Thread: a07f3367d7,ab436e97ff76821f X-Google-Attributes: gida07f3367d7,public,usenet X-Google-NewGroupId: yes X-Google-Language: ENGLISH,ASCII Received: by 10.224.186.143 with SMTP id cs15mr11516884qab.3.1343789536381; Tue, 31 Jul 2012 19:52:16 -0700 (PDT) Received: by 10.66.85.136 with SMTP id h8mr3287643paz.46.1343789446361; Tue, 31 Jul 2012 19:50:46 -0700 (PDT) Path: a15ni13561295qag.0!nntp.google.com!r1no8440706qas.0!news-out.google.com!g9ni9632822pbo.0!nntp.google.com!border1.nntp.dca.giganews.com!nntp.giganews.com!nrc-news.nrc.ca!goblin1!goblin2!goblin.stu.neva.ru!aioe.org!.POSTED!not-for-mail From: "Dmitry A. Kazakov" 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 16:22:34 +0200 Organization: cbb software GmbH Message-ID: References: <18c77859-480c-41f5-bb1c-df7ad067f4f3@googlegroups.com> <637de084-0e71-4077-a1c5-fc4200cad3cf@googlegroups.com> <1wqz1wr8wto96.1fwpyip6ct1z9.dlg@40tude.net> <3e3487d1-c6e8-47d2-b75b-f9aedafed4ff@googlegroups.com> <0a4d8d8d-834b-4851-9a3a-f7867e779ebe@d6g2000pbt.googlegroups.com> Reply-To: mailbox@dmitry-kazakov.de NNTP-Posting-Host: 9A8bJrx4NhDLcSmbrb6AdA.user.speranza.aioe.org Mime-Version: 1.0 X-Complaints-To: abuse@aioe.org User-Agent: 40tude_Dialog/2.0.15.1 X-Notice: Filtered by postfilter v. 0.8.2 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: 8bit Date: 2012-07-29T16:22:34+02:00 List-Id: On Sun, 29 Jul 2012 06:39:58 -0700 (PDT), Robin Vowels wrote: > On Jul 12, 5:12�pm, "Dmitry A. Kazakov" > wrote: >> On Wed, 11 Jul 2012 17:31:33 -0700 (PDT), rrrrrrr@gmail.com wrote: >>>> It is ill-defined. E.g. exp(A), where A is a matrix. Is exp(A) a matrix 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 = 1 to n, >> >> In linear algebra, provided matrices mean matrices, per-element operation >> 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! -- Regards, Dmitry A. Kazakov http://www.dmitry-kazakov.de