{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:16:25Z","timestamp":1758824185929,"version":"3.41.0"},"reference-count":10,"publisher":"Association for Computing Machinery (ACM)","issue":"1-2","license":[{"start":{"date-parts":[[2008,7,25]],"date-time":"2008-07-25T00:00:00Z","timestamp":1216944000000},"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":["ACM Commun. Comput. Algebra"],"published-print":{"date-parts":[[2008,7,25]]},"abstract":"<jats:p>The Bezout-Dixon resultant method for solving systems of polynomial equations lends itself to various heuristic acceleration techniques, previously reported by the present author [6], which can be extraordinarily effective. In this paper we will discuss how well these techniques apply to the Macaulay resultant. In brief, we find that they do work there with some difficulties, but the Dixon method is greatly superior. That they work at all is surprising and begs theoretical explanation.<\/jats:p>","DOI":"10.1145\/1394042.1394088","type":"journal-article","created":{"date-parts":[[2008,7,29]],"date-time":"2008-07-29T13:22:19Z","timestamp":1217337739000},"page":"79-81","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":3,"title":["Comparing acceleration techniques for the dixon and macaulay resultants (abstract only)"],"prefix":"10.1145","volume":"42","author":[{"given":"Robert","family":"Lewis","sequence":"first","affiliation":[{"name":"Forham University"}]}],"member":"320","published-online":{"date-parts":[[2008,7,25]]},"reference":[{"key":"e_1_2_1_1_1","unstructured":"P. Bikker On Bezout's method for computing the resultant. RISC-Linz Report Series 1995. Johannes Kepler University A-4040 Linz Austria.  P. Bikker On Bezout's method for computing the resultant. RISC-Linz Report Series 1995. Johannes Kepler University A-4040 Linz Austria."},{"volume-title":"Springer-Verlag","year":"1998","author":"Cox D.","key":"e_1_2_1_2_1"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s2-6.1.468"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/190347.190372"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127404010709"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2007.04.007"},{"volume-title":"CBMS Conference, Texas A &amp; M University","year":"2002","author":"Lewis R. H.","key":"e_1_2_1_7_1"},{"volume-title":"International Conference on Applications of Computer Algebra (ACA)","year":"2004","author":"Lewis R. H.","key":"e_1_2_1_8_1"},{"key":"e_1_2_1_9_1","first-page":"68","volume-title":"Pontevedra Spain. Lecture Notes in Computer Science","volume":"4869","author":"Lewis R. H.","year":"2007"},{"key":"e_1_2_1_10_1","unstructured":"M. Minimair. Macaulay resultant package. http:\/\/minimair.org\/software\/  M. Minimair. Macaulay resultant package. http:\/\/minimair.org\/software\/"}],"container-title":["ACM Communications in Computer Algebra"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1394042.1394088","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T12:45:52Z","timestamp":1750250752000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1394042.1394088"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,7,25]]},"references-count":10,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2008,7,25]]}},"alternative-id":["10.1145\/1394042.1394088"],"URL":"https:\/\/doi.org\/10.1145\/1394042.1394088","relation":{},"ISSN":["1932-2240"],"issn-type":[{"type":"print","value":"1932-2240"}],"subject":[],"published":{"date-parts":[[2008,7,25]]},"assertion":[{"value":"2008-07-25","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}