{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T13:33:56Z","timestamp":1740144836712,"version":"3.37.3"},"reference-count":26,"publisher":"Informa UK Limited","issue":"1","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["The American Mathematical Monthly"],"published-print":{"date-parts":[[2020,1,2]]},"DOI":"10.1080\/00029890.2020.1671740","type":"journal-article","created":{"date-parts":[[2019,12,19]],"date-time":"2019-12-19T11:37:25Z","timestamp":1576755445000},"page":"45-53","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":1,"title":["Matricial Proofs of Some Classical Results about Critical Point Location"],"prefix":"10.1080","volume":"127","author":[{"given":"Charles R.","family":"Johnson","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of William & Mary, Williamsburg, VA 23187-8795, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8363-273X","authenticated-orcid":false,"given":"Pietro","family":"Paparella","sequence":"additional","affiliation":[{"name":"Division of Engineering and Mathematics, University of Washington Bothell, Bothell, WA 98011, USA"}]}],"member":"301","published-online":{"date-parts":[[2019,12,19]]},"reference":[{"key":"CIT0001","doi-asserted-by":"publisher","DOI":"10.4169\/amer.math.monthly.121.06.547"},{"issue":"1","key":"CIT0002","doi-asserted-by":"crossref","first-page":"70","DOI":"10.2307\/1967882","volume":"7","author":"B\u00f4cher M.","year":"1892","journal-title":"Ann. Math."},{"key":"CIT0003","doi-asserted-by":"publisher","DOI":"10.4169\/amer.math.monthly.124.5.459"},{"key":"CIT0004","doi-asserted-by":"publisher","DOI":"10.1307\/mmj\/1028997958"},{"key":"CIT0005","volume-title":"Linear Algebra in Action","author":"Dym H.","year":"2013","edition":"2"},{"key":"CIT0007","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.2019.1537459"},{"key":"CIT0008","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2018.06.024"},{"volume-title":"Corrected reprint of the 1991 original","year":"1994","author":"Horn R. A.","key":"CIT0009"},{"key":"CIT0010","volume-title":"Matrix Analysis","author":"Horn R. A.","year":"2013","edition":"2"},{"key":"CIT0011","doi-asserted-by":"publisher","DOI":"10.6028\/jres.078B.016"},{"key":"CIT0012","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.2008.11920532"},{"key":"CIT0013","first-page":"8","volume-title":"J. Online Math. Appl","author":"Kalman D.","year":"2008"},{"issue":"1","key":"CIT0014","first-page":"185","volume-title":"Linear Multilinear Algebra","volume":"56","author":"Kippenhahn R.","year":"2008"},{"issue":"7","key":"CIT0015","doi-asserted-by":"crossref","first-page":"1985","DOI":"10.1090\/S0002-9939-96-03307-2","volume":"124","author":"Li C.-K.","year":"1996","journal-title":"Proc. Amer. Math. Soc"},{"key":"CIT0016","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1945-08470-5"},{"key":"CIT0017","volume-title":"Mathematical Surveys","author":"Marden M.","year":"1966","edition":"2"},{"key":"CIT0018","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.2008.11920581"},{"key":"CIT0019","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.18.3.246"},{"key":"CIT0020","doi-asserted-by":"publisher","DOI":"10.1515\/spma-2017-0007"},{"key":"CIT0021","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(03)00465-7"},{"key":"CIT0022","volume-title":"Polynomials. Algorithms and Computation in Mathematics","volume":"11","author":"Prasolov V. V.","year":"2010"},{"key":"CIT0023","volume-title":"A Treatise on the Higher Plane Curves: Intended as a Sequel to \u201cA Treatise on Conic Sections","author":"Salmon G.","year":"1960","edition":"3"},{"key":"CIT0024","first-page":"175","volume":"64","author":"Siebeck P.","year":"1865","journal-title":"J. Reine Angew. Math"},{"key":"CIT0025","volume-title":"Gesammelte Werke","volume":"2","author":"Steiner J.","year":"1881"},{"key":"CIT0026","first-page":"100","volume":"15","author":"van den Berg F. J.","year":"1888","journal-title":"Nieuw Archiev voor Wiskunde"},{"key":"CIT0027","doi-asserted-by":"publisher","DOI":"10.2307\/2034315"}],"container-title":["The American Mathematical Monthly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/00029890.2020.1671740","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,12,19]],"date-time":"2019-12-19T11:38:10Z","timestamp":1576755490000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/00029890.2020.1671740"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,12,19]]},"references-count":26,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2020,1,2]]}},"alternative-id":["10.1080\/00029890.2020.1671740"],"URL":"https:\/\/doi.org\/10.1080\/00029890.2020.1671740","relation":{},"ISSN":["0002-9890","1930-0972"],"issn-type":[{"type":"print","value":"0002-9890"},{"type":"electronic","value":"1930-0972"}],"subject":[],"published":{"date-parts":[[2019,12,19]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uamm20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uamm20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2018-05-17","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2018-09-08","order":1,"name":"revised","label":"Revised","group":{"name":"publication_history","label":"Publication History"}},{"value":"2018-09-09","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-12-19","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}