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: 103376,2b8382e0387f53c5 X-Google-NewGroupId: yes X-Google-Attributes: gida07f3367d7,domainid0,public,usenet X-Google-Language: ENGLISH,ASCII-7-bit Path: g2news2.google.com!news2.google.com!news.glorb.com!feeder.erje.net!feeder.news-service.com!aioe.org!.POSTED!not-for-mail From: "Dmitry A. Kazakov" Newsgroups: comp.lang.ada Subject: Re: Eigenvalues to find roots of polynomials Date: Mon, 25 Jul 2011 21:04:14 +0200 Organization: cbb software GmbH Message-ID: <12rqoo5jd0lqy$.1kgmuqfqym6z2$.dlg@40tude.net> References: <3ec148c9-a033-40a1-bc32-1aa52867478a@e35g2000yqc.googlegroups.com> Reply-To: mailbox@dmitry-kazakov.de NNTP-Posting-Host: zhC1/QHe0FbYqheZfpur8w.user.speranza.aioe.org Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Content-Transfer-Encoding: 7bit X-Complaints-To: abuse@aioe.org User-Agent: 40tude_Dialog/2.0.15.1 X-Notice: Filtered by postfilter v. 0.8.2 Xref: g2news2.google.com comp.lang.ada:21322 Date: 2011-07-25T21:04:14+02:00 List-Id: On Mon, 25 Jul 2011 10:36:14 -0700 (PDT), marius63 wrote: > -- | -A(1)/A(0) -A(2)/A(0) -A(3)/A(0) ... -A(N)/A(0) | > -- | 1 0 0 ... 0 | > -- | 0 1 0 ... 0 | > -- | ... ... 1 ... 0 | > -- |_ 0 0 0 ... 0 _| The matrix passed to Eigenvalues (ARM G.3.2) must be Hermitian. The above matrix is not Hermitian. P.S. A matrix M is Hermitian if M (I,J) if the complex conjugate of M (J,I)), i.e. Re (M(I,J)) = Re (M(J,I)) and Im (M(I,J)) = -Im (M(J,I)) -- Regards, Dmitry A. Kazakov http://www.dmitry-kazakov.de