{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:13:40Z","timestamp":1777644820998,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2017,6,16]],"date-time":"2017-06-16T00:00:00Z","timestamp":1497571200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2017,6,16]]},"abstract":"<jats:p>We show a method for constructing a polynomial interpolating roots\u2019 multiplicities of another polynomial, that does not use companion matrices. This leads to a modification to Guersenzvaig\u2013Szechtman square-free decomposition algorithm that is more efficient both in theory and in practice.<\/jats:p>","DOI":"10.3233\/fi-2017-1540","type":"journal-article","created":{"date-parts":[[2017,6,16]],"date-time":"2017-06-16T11:07:35Z","timestamp":1497611255000},"page":"265-270","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Roots Multiplicity without Companion Matrices"],"prefix":"10.1177","volume":"153","author":[{"given":"Przemys\u0142aw","family":"Koprowski","sequence":"first","affiliation":[{"name":"Faculty of Mathematics, University of Silesia, ul. Bankowa 14, PL-40-007 Katowice, Poland."}]}],"member":"179","published-online":{"date-parts":[[2017,6,16]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2017-1540","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2017-1540","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:30:22Z","timestamp":1777444222000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2017-1540"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6,16]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,6,16]]}},"alternative-id":["10.3233\/FI-2017-1540"],"URL":"https:\/\/doi.org\/10.3233\/fi-2017-1540","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,6,16]]}}}