Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: Notesfiles $Revision: 1.6.2.17 $; site uiucdcsp.UUCP Path: utzoo!watmath!clyde!burl!ulysses!mhuxr!ihnp4!inuxc!pur-ee!uiucdcsp!ashby From: ashby@uiucdcsp.UUCP Newsgroups: net.math Subject: Re: real roots of polynomial Message-ID: <9600001@uiucdcsp.UUCP> Date: Thu, 7-Feb-85 15:46:00 EST Article-I.D.: uiucdcsp.9600001 Posted: Thu Feb 7 15:46:00 1985 Date-Received: Sat, 9-Feb-85 06:34:25 EST References: <7942@brl-tgr.UUCP> Lines: 10 Nf-ID: #R:brl-tgr:-794200:uiucdcsp:9600001:000:300 Nf-From: uiucdcsp!ashby Feb 7 14:46:00 1985 One reliable and robust means of computing the roots of a polynomial is to find the eigenvalues of the polynomial's companion matrix. First set up the companion matrix; see any linera algebra text for a definition. Then just compute that matrix's eigenvalues, via EISPACK for example. Good luck!