{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,13]],"date-time":"2025-07-13T04:10:05Z","timestamp":1752379805720,"version":"3.41.2"},"reference-count":4,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[1999,1,1]],"date-time":"1999-01-01T00:00:00Z","timestamp":915148800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[1999,1,1]],"date-time":"1999-01-01T00:00:00Z","timestamp":915148800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational Optimization and Applications"],"published-print":{"date-parts":[[1999,1]]},"DOI":"10.1023\/a:1008684201437","type":"journal-article","created":{"date-parts":[[2002,12,22]],"date-time":"2002-12-22T10:12:40Z","timestamp":1040551960000},"page":"189-205","source":"Crossref","is-referenced-by-count":0,"title":["Arithmetic Continuation of Regular Roots of Formal Parametric Polynomial Systems"],"prefix":"10.1007","volume":"12","author":[{"given":"B. Curtis","family":"Eaves","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Uriel G.","family":"Rothblum","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"190492_CR1","doi-asserted-by":"crossref","first-page":"502","DOI":"10.1287\/moor.14.3.502","volume":"14","author":"B.C. Eaves","year":"1989","unstructured":"B.C. Eaves and U.G. Rothblum, \u201cA theory on extending algorithms for parametric problems,\u201d Mathematics of Operations Research, vol. 14, pp. 502\u2013533, 1989.","journal-title":"Mathematics of Operations Research"},{"key":"190492_CR2","unstructured":"B.C. Eaves and U.G. Rothblum, \u201cPolynomial time root computation of parametric polynomials with Newton's polygon process,\u201d 1996, unpublished manuscript."},{"key":"190492_CR3","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1145\/322063.322068","volume":"25","author":"H.T. Kung","year":"1978","unstructured":"H.T. Kung and J.F. Traub, \u201cAll algebraic functions can be computed fast,\u201d Journal of the Association for Computing Machinery, vol. 25, pp. 245\u2013260, 1978.","journal-title":"Journal of the Association for Computing Machinery"},{"key":"190492_CR4","volume-title":"Theory of Branching of Solutions of Non-linear Equations","author":"M.M. Vainberg","year":"1974","unstructured":"M.M. Vainberg and V.A. Trenogin, Theory of Branching of Solutions of Non-linear Equations, Noordhoff International Publishing: Leyden, The Netherlands, 1974."}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008684201437.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1008684201437\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008684201437.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,13]],"date-time":"2025-07-13T03:38:13Z","timestamp":1752377893000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1008684201437"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,1]]},"references-count":4,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1999,1]]}},"alternative-id":["190492"],"URL":"https:\/\/doi.org\/10.1023\/a:1008684201437","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"type":"print","value":"0926-6003"},{"type":"electronic","value":"1573-2894"}],"subject":[],"published":{"date-parts":[[1999,1]]}}}