{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T13:09:48Z","timestamp":1769778588744,"version":"3.49.0"},"reference-count":18,"publisher":"Informa UK Limited","issue":"20","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["Linear and Multilinear Algebra"],"published-print":{"date-parts":[[2022,12,19]]},"DOI":"10.1080\/03081087.2021.1913981","type":"journal-article","created":{"date-parts":[[2021,4,13]],"date-time":"2021-04-13T16:03:04Z","timestamp":1618329784000},"page":"5329-5333","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":0,"title":["Simple proof of existence of a complex eigenvalue of a complex square matrix \u2026and yet another proof of the fundamental theorem of algebra with linear algebra"],"prefix":"10.1080","volume":"70","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5832-541X","authenticated-orcid":false,"given":"Luis T.","family":"Magalh\u00e3es","sequence":"first","affiliation":[{"name":"University of Lisbon","place":["Lisboa, Portugal"]}]}],"member":"301","published-online":{"date-parts":[[2021,4,13]]},"reference":[{"key":"e_1_3_3_2_1","doi-asserted-by":"publisher","DOI":"10.2307\/3647746"},{"key":"e_1_3_3_3_1","doi-asserted-by":"publisher","DOI":"10.1080\/03081080801984103"},{"key":"e_1_3_3_4_1","doi-asserted-by":"publisher","DOI":"10.4169\/amer.math.monthly.120.08.741"},{"key":"e_1_3_3_5_1","doi-asserted-by":"publisher","DOI":"10.1307\/mmj\/1028989727"},{"key":"e_1_3_3_6_1","doi-asserted-by":"publisher","DOI":"10.2307\/2315823"},{"key":"e_1_3_3_7_1","volume-title":"Principles of mathematical analysis","author":"Rudin W.","year":"1964","unstructured":"Rudin W. Principles of mathematical analysis. 3rd ed. New York: McGraw-Hill Inc.; 1964.","edition":"3"},{"key":"e_1_3_3_8_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00283-011-9199-2"},{"key":"e_1_3_3_9_1","doi-asserted-by":"publisher","DOI":"10.4169\/amer.math.monthly.120.05.392"},{"key":"e_1_3_3_10_1","first-page":"107","article-title":"Demonstratio nova altera theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse","volume":"3","author":"Gauss CF.","year":"1816","unstructured":"Gauss CF. Demonstratio nova altera theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse. Comm Recentiores (Gottingae). 1816;3:107\u2013142. In Carl Friedrich GaussWerke, vol. III. Gottingen, p. 31\u201356.","journal-title":"Comm Recentiores (Gottingae)"},{"key":"e_1_3_3_11_1","unstructured":"Euler L. Recherches sur les racines imaginaires des \u00e9quations. Mem Berlin 1749 1751;5:222\u2013288. (Opera Omnia 1 vol. 6 p. 78\u2013147)."},{"key":"e_1_3_3_12_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01446327"},{"key":"e_1_3_3_13_1","unstructured":"Weierstrass K. Einleitung in die Theorie der Analytischen Funktionen. Vorlesung Berlin written down by A. Hurwitz worked out by P. Ullrich 1878."},{"key":"e_1_3_3_14_1","unstructured":"d'Alembert JR. Recherches sur le calcul int\u00e9gral. Histoire de l'Acad. Royale Berlin. 1748. p. 182\u2013224."},{"key":"e_1_3_3_15_1","unstructured":"Argand J-R. Essai sur une mani\u00e8re de repr\u00e9senter les quantit\u00e9s imaginaires dans les constructions geom\u00e9triques. Anonymous p. 115\u2013128 Paris 1806 reissued ed. M.J. Hou\u00ebl Gauthier\u2013Villars Paris 1874."},{"key":"e_1_3_3_16_1","first-page":"848","article-title":"G\u00e9n\u00e9ralisation d'un th\u00e9or\u00e8me de weierstrass","volume":"139","author":"Fr\u00e9chet M.","year":"1904","unstructured":"Fr\u00e9chet M. G\u00e9n\u00e9ralisation d'un th\u00e9or\u00e8me de weierstrass. C R Acad Sci Paris. 1904;139:848\u2013850.","journal-title":"C R Acad Sci Paris"},{"key":"e_1_3_3_17_1","unstructured":"Gauss CF. Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse [dissertation]. Universit\u00e4t Helmstedt 1799. In Carl Friedrich GaussWerke vol. III. Leipzig 1863\u20131933 p. 1\u201330."},{"key":"e_1_3_3_18_1","unstructured":"Ostrowski A. Uber den ersten und vierten Gauss'schen Beweis des Fundamentalsatzes der Algebra. In: Nachrichten der Gesellschaft der Wissenschaften Gottingen; 1920."},{"key":"e_1_3_3_19_1","doi-asserted-by":"publisher","DOI":"10.4169\/amer.math.monthly.124.8.688"}],"container-title":["Linear and Multilinear Algebra"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/03081087.2021.1913981","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T20:48:27Z","timestamp":1769719707000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/03081087.2021.1913981"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,13]]},"references-count":18,"journal-issue":{"issue":"20","published-print":{"date-parts":[[2022,12,19]]}},"alternative-id":["10.1080\/03081087.2021.1913981"],"URL":"https:\/\/doi.org\/10.1080\/03081087.2021.1913981","relation":{},"ISSN":["0308-1087","1563-5139"],"issn-type":[{"value":"0308-1087","type":"print"},{"value":"1563-5139","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,4,13]]},"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=glma20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=glma20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2021-02-15","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-03-28","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-04-13","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}