{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T00:26:12Z","timestamp":1761611172552},"reference-count":4,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1987,12,1]],"date-time":"1987-12-01T00:00:00Z","timestamp":565315200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[1987,12]]},"DOI":"10.1007\/bf02278715","type":"journal-article","created":{"date-parts":[[2005,12,9]],"date-time":"2005-12-09T09:43:25Z","timestamp":1134121405000},"page":"369-372","source":"Crossref","is-referenced-by-count":5,"title":["A simple proof of the validity of the reduced prs algorithm"],"prefix":"10.1007","volume":"38","author":[{"given":"A. G.","family":"Akritas","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02278715_CR1","unstructured":"Akritas, A. G.: A new method for computing polynomial greatest common divisors. University of Kansas, TR-86-9, Lawrence, Kansas, 1986. Submitted for publication."},{"key":"BF02278715_CR2","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1145\/321371.321381","volume":"14","author":"G. E. Collins","year":"1967","unstructured":"Collins, G. E.: Subresultants and reduced polynomial remainder sequences. JACM14, 128\u2013142 (1967).","journal-title":"JACM"},{"key":"BF02278715_CR3","volume-title":"The art of computer programming. Vol. II: Seminumerical algorithms","author":"D. Knuth","year":"1969","unstructured":"Knuth, D.: The art of computer programming. Vol. II: Seminumerical algorithms. Reading, Mass.: Addison-Wesley 1969."},{"key":"BF02278715_CR4","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1098\/rstl.1853.0018","volume":"143","author":"J. J. Sylvester","year":"1853","unstructured":"Sylvester, J. J.: On a theory of the syzygetic relations of two rational integral functions, comprising an application to the theory of Sturm's functions, and that of the greatest algebraical common measure. Philosphophical Transactions143, 407\u2013548 (1853).","journal-title":"Philosphophical Transactions"}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02278715.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02278715\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02278715","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,15]],"date-time":"2019-05-15T14:30:28Z","timestamp":1557930628000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02278715"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1987,12]]},"references-count":4,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1987,12]]}},"alternative-id":["BF02278715"],"URL":"https:\/\/doi.org\/10.1007\/bf02278715","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1987,12]]}}}