{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,30]],"date-time":"2024-10-30T18:53:20Z","timestamp":1730314400186,"version":"3.28.0"},"publisher-location":"New York, NY, USA","reference-count":19,"publisher":"ACM","content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2007,7,25]]},"DOI":"10.1145\/1277500.1277514","type":"proceedings-article","created":{"date-parts":[[2023,1,8]],"date-time":"2023-01-08T18:21:02Z","timestamp":1673202062000},"page":"79-86","update-policy":"http:\/\/dx.doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":4,"title":["Numerical local rings and local solution of nonlinear systems"],"prefix":"10.1145","author":[{"given":"Barry H.","family":"Dayton","sequence":"first","affiliation":[{"name":"Northeastern Illinois University, Chicago, IL"}]}],"member":"320","published-online":{"date-parts":[[2007,7,25]]},"reference":[{"key":"e_1_3_2_1_1_1","volume-title":"A survey of Modern Algebra","author":"Birkhoff G.","year":"1941","unstructured":"G. Birkhoff , S. Mac Lane , A survey of Modern Algebra , Macmillan , 1941 . G. Birkhoff, S. Mac Lane, A survey of Modern Algebra, Macmillan, 1941."},{"volume-title":"Wampler II","author":"Bates D.","key":"e_1_3_2_1_2_1","unstructured":"D. Bates , J. Hauenstein , A. Sommesse and C. Wampler II , Bertini : Software for Numerical Algebraic Geometry , available at http:\/\/www.nd.edu\/sommese\/bertini. D. Bates, J. Hauenstein, A. Sommesse and C. Wampler II, Bertini: Software for Numerical Algebraic Geometry, available at http:\/\/www.nd.edu\/sommese\/bertini."},{"key":"e_1_3_2_1_3_1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-6911-1","volume-title":"Using Algebraic Geometry","author":"Cox D.","year":"1998","unstructured":"D. Cox , J. Little , D. O'Shea , Using Algebraic Geometry . Springer Verlag , 1998 . D. Cox, J. Little, D. O'Shea, Using Algebraic Geometry. Springer Verlag, 1998."},{"key":"e_1_3_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/1073884.1073902"},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1137\/0720050"},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.5555\/1557288"},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1145\/1145768.1145796"},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7643-7984-1_16"},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2006.02.018"},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479803435282"},{"key":"e_1_3_2_1_11_1","doi-asserted-by":"crossref","DOI":"10.3792\/chmm\/1263317740","volume-title":"The Algebraic Theory of Modular Systems","author":"Macaulay F. S.","year":"1916","unstructured":"F. S. Macaulay , The Algebraic Theory of Modular Systems . Cambridge Univ. Press , 1916 . F. S. Macaulay, The Algebraic Theory of Modular Systems. Cambridge Univ. Press, 1916."},{"key":"e_1_3_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1145\/220346.220368"},{"key":"e_1_3_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050122"},{"key":"e_1_3_2_1_14_1","volume-title":"Solving Polynomial Equation Systems II. Encyclopedia of Mathematics and its Application, 99","author":"Mora T.","year":"2005","unstructured":"T. Mora , Solving Polynomial Equation Systems II. Encyclopedia of Mathematics and its Application, 99 , Cambridge University Press , Cambridge , 2005 . T. Mora, Solving Polynomial Equation Systems II. Encyclopedia of Mathematics and its Application, 99, Cambridge University Press, Cambridge, 2005."},{"key":"e_1_3_2_1_15_1","first-page":"118","article-title":"duality and residues","volume":"117","author":"Mourrain B.","year":"1996","unstructured":"B. Mourrain , Isolated points , duality and residues , J. of Pure and Applied Algebra , 1996 , 117 & 118 , pp. 469--493. B. Mourrain, Isolated points, duality and residues, J. of Pure and Applied Algebra, 1996, 117 & 118, pp. 469--493.","journal-title":"J. of Pure and Applied Algebra"},{"key":"e_1_3_2_1_16_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1998.0236"},{"key":"e_1_3_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1142\/5763"},{"key":"e_1_3_2_1_19_1","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898717976","volume-title":"Numerical Polynomial Algebra","author":"Stetter H. J.","year":"2004","unstructured":"H. J. Stetter , Numerical Polynomial Algebra . SIAM , 2004 . H. J. Stetter, Numerical Polynomial Algebra. SIAM, 2004."},{"key":"e_1_3_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1145\/317275.317286"}],"event":{"name":"ISSAC07: International Symposium on Symbolic and Algebraic Computation","sponsor":["ACM Association for Computing Machinery","SIGSAM ACM Special Interest Group on Symbolic and Algebraic Manipulation"],"location":"London Ontario Canada","acronym":"ISSAC07"},"container-title":["Proceedings of the 2007 international workshop on Symbolic-numeric computation"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1277500.1277514","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,8]],"date-time":"2023-01-08T18:22:11Z","timestamp":1673202131000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1277500.1277514"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,7,25]]},"references-count":19,"alternative-id":["10.1145\/1277500.1277514","10.1145\/1277500"],"URL":"https:\/\/doi.org\/10.1145\/1277500.1277514","relation":{},"subject":[],"published":{"date-parts":[[2007,7,25]]},"assertion":[{"value":"2007-07-25","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}