A simple and direct proof of a bound on the zeros of a polynomial

A simple proof is given for the bound on the zeros of a polynomial recently presented by Dabke (1983). In a slightly modified form this result was first established by Cauchy.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International journal of control 1985-01, Vol.42 (1), p.269-270
1. Verfasser: HEINEN, JAMES A.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 270
container_issue 1
container_start_page 269
container_title International journal of control
container_volume 42
creator HEINEN, JAMES A.
description A simple proof is given for the bound on the zeros of a polynomial recently presented by Dabke (1983). In a slightly modified form this result was first established by Cauchy.
doi_str_mv 10.1080/00207178508933363
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1080_00207178508933363</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>24784007</sourcerecordid><originalsourceid>FETCH-LOGICAL-c358t-a85952fb787c3034e8be3335f55f003ad4b5bcc3abefd5b98bd4cbdb9d574f2a3</originalsourceid><addsrcrecordid>eNp1kE1LxDAQhoMouK7-AG85iLfqpEnaFLwsi1-w4EXPJZ9YSZuadJH11xvp6kWEgYGZ5533ZRA6J3BFQMA1QAk1qQUH0VBKK3qAFoRWVcFFCYdo8b0vMtAco5OU3gAI5YIs0GqFU9eP3mI5GGy6aPWExxiCw7kkVmGb52HA06vFnzaGNM_H4HdD6DvpT9GRkz7Zs31fope72-f1Q7F5un9crzaFzk5TIQVveOlULWpNgTIrlM1BuePcAVBpmOJKayqVdYarRijDtDKqMbxmrpR0iS7nuznd-9amqe27pK33crBhm9qS1YIB1BkkM6hz2hSta8fY9TLuWgLt97PaP8_Kmov9cZm09C7KQXfpVygYZQ2pMnYzY93gQuzlR4jetJPc-RB_NPR_ly89b3tG</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>24784007</pqid></control><display><type>article</type><title>A simple and direct proof of a bound on the zeros of a polynomial</title><source>Taylor &amp; Francis</source><creator>HEINEN, JAMES A.</creator><creatorcontrib>HEINEN, JAMES A.</creatorcontrib><description>A simple proof is given for the bound on the zeros of a polynomial recently presented by Dabke (1983). In a slightly modified form this result was first established by Cauchy.</description><identifier>ISSN: 0020-7179</identifier><identifier>EISSN: 1366-5820</identifier><identifier>DOI: 10.1080/00207178508933363</identifier><identifier>CODEN: IJCOAZ</identifier><language>eng</language><publisher>London: Taylor &amp; Francis Group</publisher><subject>Applied sciences ; Computer science; control theory; systems ; Control system analysis ; Control theory. Systems ; Exact sciences and technology</subject><ispartof>International journal of control, 1985-01, Vol.42 (1), p.269-270</ispartof><rights>Copyright Taylor &amp; Francis Group, LLC 1985</rights><rights>1986 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c358t-a85952fb787c3034e8be3335f55f003ad4b5bcc3abefd5b98bd4cbdb9d574f2a3</citedby><cites>FETCH-LOGICAL-c358t-a85952fb787c3034e8be3335f55f003ad4b5bcc3abefd5b98bd4cbdb9d574f2a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.tandfonline.com/doi/pdf/10.1080/00207178508933363$$EPDF$$P50$$Ginformaworld$$H</linktopdf><linktohtml>$$Uhttps://www.tandfonline.com/doi/full/10.1080/00207178508933363$$EHTML$$P50$$Ginformaworld$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,59620,60409</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=8434916$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>HEINEN, JAMES A.</creatorcontrib><title>A simple and direct proof of a bound on the zeros of a polynomial</title><title>International journal of control</title><description>A simple proof is given for the bound on the zeros of a polynomial recently presented by Dabke (1983). In a slightly modified form this result was first established by Cauchy.</description><subject>Applied sciences</subject><subject>Computer science; control theory; systems</subject><subject>Control system analysis</subject><subject>Control theory. Systems</subject><subject>Exact sciences and technology</subject><issn>0020-7179</issn><issn>1366-5820</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1985</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LxDAQhoMouK7-AG85iLfqpEnaFLwsi1-w4EXPJZ9YSZuadJH11xvp6kWEgYGZ5533ZRA6J3BFQMA1QAk1qQUH0VBKK3qAFoRWVcFFCYdo8b0vMtAco5OU3gAI5YIs0GqFU9eP3mI5GGy6aPWExxiCw7kkVmGb52HA06vFnzaGNM_H4HdD6DvpT9GRkz7Zs31fope72-f1Q7F5un9crzaFzk5TIQVveOlULWpNgTIrlM1BuePcAVBpmOJKayqVdYarRijDtDKqMbxmrpR0iS7nuznd-9amqe27pK33crBhm9qS1YIB1BkkM6hz2hSta8fY9TLuWgLt97PaP8_Kmov9cZm09C7KQXfpVygYZQ2pMnYzY93gQuzlR4jetJPc-RB_NPR_ly89b3tG</recordid><startdate>19850101</startdate><enddate>19850101</enddate><creator>HEINEN, JAMES A.</creator><general>Taylor &amp; Francis Group</general><general>Taylor &amp; Francis</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>19850101</creationdate><title>A simple and direct proof of a bound on the zeros of a polynomial</title><author>HEINEN, JAMES A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c358t-a85952fb787c3034e8be3335f55f003ad4b5bcc3abefd5b98bd4cbdb9d574f2a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1985</creationdate><topic>Applied sciences</topic><topic>Computer science; control theory; systems</topic><topic>Control system analysis</topic><topic>Control theory. Systems</topic><topic>Exact sciences and technology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>HEINEN, JAMES A.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>International journal of control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>HEINEN, JAMES A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A simple and direct proof of a bound on the zeros of a polynomial</atitle><jtitle>International journal of control</jtitle><date>1985-01-01</date><risdate>1985</risdate><volume>42</volume><issue>1</issue><spage>269</spage><epage>270</epage><pages>269-270</pages><issn>0020-7179</issn><eissn>1366-5820</eissn><coden>IJCOAZ</coden><abstract>A simple proof is given for the bound on the zeros of a polynomial recently presented by Dabke (1983). In a slightly modified form this result was first established by Cauchy.</abstract><cop>London</cop><pub>Taylor &amp; Francis Group</pub><doi>10.1080/00207178508933363</doi><tpages>2</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0020-7179
ispartof International journal of control, 1985-01, Vol.42 (1), p.269-270
issn 0020-7179
1366-5820
language eng
recordid cdi_crossref_primary_10_1080_00207178508933363
source Taylor & Francis
subjects Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Exact sciences and technology
title A simple and direct proof of a bound on the zeros of a polynomial
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-04T02%3A41%3A52IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20simple%20and%20direct%20proof%20of%20a%20bound%20on%20the%20zeros%20of%20a%20polynomial&rft.jtitle=International%20journal%20of%20control&rft.au=HEINEN,%20JAMES%20A.&rft.date=1985-01-01&rft.volume=42&rft.issue=1&rft.spage=269&rft.epage=270&rft.pages=269-270&rft.issn=0020-7179&rft.eissn=1366-5820&rft.coden=IJCOAZ&rft_id=info:doi/10.1080/00207178508933363&rft_dat=%3Cproquest_cross%3E24784007%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=24784007&rft_id=info:pmid/&rfr_iscdi=true