{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:42:04Z","timestamp":1750308124018,"version":"3.41.0"},"reference-count":6,"publisher":"Association for Computing Machinery (ACM)","issue":"1","license":[{"start":{"date-parts":[[1983,2,1]],"date-time":"1983-02-01T00:00:00Z","timestamp":412905600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["SIGSAM Bull."],"published-print":{"date-parts":[[1983,2]]},"abstract":"<jats:p>\n            The problem of localizing real zeros of polynomials with parametric coefficients is considered.An informative solution to this problem is proposed and an algorithm based on a generalization of Sturm's method for univariate polynomials over the reals is presented. Thus, given a polynomial P(x,y), where x is the variable and y a parameter, and a real interval I\n            <jats:sub>x<\/jats:sub>\n            for the variable x, the algorithm furnishes a list (eventually empty) of real intervals I\n            <jats:sub>iy<\/jats:sub>\n            for the parameter y, such that there exist i real simple zeros of P(x,y) in the two dimension interval determined by I\n            <jats:sub>x<\/jats:sub>\n            and I\n            <jats:sub>iy<\/jats:sub>\n            .\n          <\/jats:p>","DOI":"10.1145\/1089320.1089322","type":"journal-article","created":{"date-parts":[[2007,1,17]],"date-time":"2007-01-17T18:32:02Z","timestamp":1169058722000},"page":"12-15","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["Computing real zeros of polynomials with parametric coefficients"],"prefix":"10.1145","volume":"17","author":[{"given":"Attilio","family":"Colagrossi","sequence":"first","affiliation":[{"name":"Istituto di Analisi dei Sistemi ed Informatica, Roma, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alfonso M.","family":"Miola","sequence":"additional","affiliation":[{"name":"Istituto di Analisi dei Sistemi ed Informatica, Roma, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[1983,2]]},"reference":[{"key":"e_1_2_1_1_1","first-page":"134","volume-title":"Second GI Conference on Automata Theory and Formal Languages","volume":"33","author":"Collins G. E.","year":"1975"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01933164"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/321662.321667"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/1089310.1089316"},{"volume":"9","volume-title":"SIAM J. Comp.","author":"Rabin M. O.","key":"e_1_2_1_5_1"},{"volume-title":"New York","year":"1948","author":"Uspensky J. V.","key":"e_1_2_1_6_1"}],"container-title":["ACM SIGSAM Bulletin"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1089320.1089322","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1089320.1089322","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T16:08:23Z","timestamp":1750262903000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1089320.1089322"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1983,2]]},"references-count":6,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1983,2]]}},"alternative-id":["10.1145\/1089320.1089322"],"URL":"https:\/\/doi.org\/10.1145\/1089320.1089322","relation":{},"ISSN":["0163-5824"],"issn-type":[{"type":"print","value":"0163-5824"}],"subject":[],"published":{"date-parts":[[1983,2]]},"assertion":[{"value":"1983-02-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}